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Two Absolutely Irreducible Polynomials over $\Bbb F_2$ and Their
Applications to a Conjecture by Carlet
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2025
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Xiang‐dong Hou
Q. Zhao
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An approach to normal polynomials through symmetrization and symmetric reduction
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2024
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Darien Connolly
C. George
Xiang‐dong Hou
Adam Madro
Vincenzo Pallozzi Lavorante
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More on the sum-freedom of the multiplicative inverse function
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2024
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Claude Carlet
Xiang‐dong Hou
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Some algebraic questions about the Reed-Muller code
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2024
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Xiang‐dong Hou
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A criterion for the normality of polynomials over finite fields based on their coefficients
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2023
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Xiang‐dong Hou
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A general construction of permutation polynomials of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math>
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2023
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Xiang‐dong Hou
Vincenzo Pallozzi Lavorante
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PDF
Chat
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New results on permutation binomials of finite fields
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2023
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Xiang‐dong Hou
Vincenzo Pallozzi Lavorante
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Number of Equivalence Classes of Rational Functions over Finite Fields
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2023
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Xiang‐dong Hou
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An approach to normal polynomials through symmetrization and symmetric reduction
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2023
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Darien Connolly
C. George
Xiang‐dong Hou
Adam Madro
Vincenzo Pallozzi Lavorante
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+
PDF
Chat
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On a radical extension of the field of rational functions in several variables
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2022
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Xiang‐dong Hou
Christopher Sze
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A General Construction of Permutation Polynomials of $\Bbb F_{q^2}$
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2022
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Xiang‐dong Hou
Vincenzo Pallozzi Lavorante
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Some Algebraic Questions about the Reed-Muller Code
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2022
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Xiang‐dong Hou
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A Criterion for the Normality of Polynomials over Finite Fields Based on Their Coefficients
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2022
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Xiang‐dong Hou
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+
PDF
Chat
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On a conjecture on permutation rational functions over finite fields
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2021
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Daniele Bartoli
Xiang‐dong Hou
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+
PDF
Chat
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A power sum formula by Carlitz and its applications to permutation rational functions of finite fields
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2021
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Xiang‐dong Hou
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+
PDF
Chat
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Rational functions of degree four that permute the projective line over a finite field
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2021
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Xiang‐dong Hou
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+
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New Results on Permutation Binomials of Finite Fields
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2021
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Xiang‐dong Hou
Vincenzo Pallozzi Lavorante
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+
PDF
Chat
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On the Tu-Zeng permutation trinomial of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si9.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>∕</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn><mml:mo>∕</mml:mo><mml:mn>4</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>
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2020
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Xiang‐dong Hou
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On a type of permutation rational functions over finite fields
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2020
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Xiang‐dong Hou
Christopher Sze
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The Möbius function of the affine linear group <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e25" altimg="si4.svg"><mml:mrow><mml:mtext>AGL </mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>
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2020
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Xiang‐dong Hou
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PDF
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on a conjecture on permutation rational functions over finite fields
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2020
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Daniele Bartoli
Xiang‐dong Hou
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+
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The Möbius Function of the Affine Linear Group $\text{AGL}(1,\Bbb F_q)$
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2020
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Xiang‐dong Hou
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+
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A power sum formula by Carlitz and its applications to permutation rational functions of finite fields
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2020
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Xiang‐dong Hou
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+
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Rational functions of Degree Four that Permute the Projective Line over a Finite Field
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2020
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Xiang‐dong Hou
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+
PDF
Chat
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An application of the Hasse--Weil bound to rational functions over finite fields
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2020
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Xiang‐dong Hou
Annamaria Iezzi
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+
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On the Number of Affine Equivalence Classes of Boolean Functions
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2020
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Xiang‐dong Hou
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on a conjecture on permutation rational functions over finite fields
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2020
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Daniele Bartoli
Xiang‐dong Hou
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+
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On a radical extension of the field of rational functions in several variables
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2020
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Xiang‐dong Hou
Christopher Sze
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+
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PGL(2,Fq) acting on Fq(x)
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2019
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Xiang‐dong Hou
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PDF
Chat
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The Fifth International Students’ Olympiad in cryptography—NSUCRYPTO: Problems and their solutions
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2019
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A. A. Gorodilova
Sergey Agievich
Claude Carlet
Xiang‐dong Hou
Valeriya Idrisova
N. A. Kolomeec
Alexandr Kutsenko
Luca Mariot
Alexey Oblaukhov
Stjepan Picek
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Determination of a class of permutation trinomials in characteristic three
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2019
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Xiang‐dong Hou
Ziran Tu
Xiangyong Zeng
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An Application of the Hasse-Weil Bound to Rational Functions over Finite Fields
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2019
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Xiang‐dong Hou
Annamaria Iezzi
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On the Tu-Zeng Permutation Trinomial of Type $(1/4,3/4)$
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2019
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Xiang‐dong Hou
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+
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On a Type of Permutation Rational Functions over Finite Fields
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2019
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Xiang‐dong Hou
Christopher Sze
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PDF
Chat
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On a class of permutation trinomials in characteristic 2
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2018
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Xiang‐dong Hou
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On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields
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2018
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Wun-Seng Chou
Xiang‐dong Hou
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PDF
Chat
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Optimal binary constant weight codes and affine linear groups over finite fields
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2018
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Xiang‐dong Hou
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Applications of the Hasse–Weil bound to permutation polynomials
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2018
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Xiang‐dong Hou
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Lectures on Finite Fields
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2018
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Xiang‐dong Hou
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Zeros of polynomials over finite fields
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2018
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Xiang‐dong Hou
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Gauss sums
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2018
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Xiang‐dong Hou
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On a Class of Permutation Trinomials in Characteristic 2
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2018
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Xiang‐dong Hou
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+
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On a conjecture on permutation polynomials over finite fields
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2018
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Wun-Seng Chou
Xiang‐dong Hou
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Determination of a Class of Permutation Trinomials in Characteristic Three
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2018
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Xiang‐dong Hou
Ziran Tu
Xiangyong Zeng
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On the DLW conjectures
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2017
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Xiang‐dong Hou
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+
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On the DLW Conjectures
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2017
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Xiang‐dong Hou
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Optimal Binary Constant Weight Codes and Affine Linear Groups over Finite Fields
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2017
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Xiang‐dong Hou
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On the DLW Conjectures
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2017
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Xiang‐dong Hou
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+
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Proof of a conjecture on monomial graphs
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2016
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Xiang‐dong Hou
Stephen D. Lappano
Felix Lazebnik
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On Gauss Periods
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2016
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Xiang‐dong Hou
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+
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Permutation polynomials of ${\rm{F}}_{q^2 } $ of the form aX + X<sup><i>r</i>(<i>q</i>−1)+1</sup>
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2016
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Xiang‐dong Hou
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+
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Permutation Polynomials of the form ${\tt X}^r(a+{\tt X}^{2(q-1)})$ --- A Nonexistence Result
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2016
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Xiang‐dong Hou
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PDF
Chat
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Polynomials meeting Ax’s bound
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2016
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Xiang‐dong Hou
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+
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On Gauss Periods
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2016
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Xiang‐dong Hou
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+
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On global <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">P</mml:mi></mml:math>-forms
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2015
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Xiang‐dong Hou
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+
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From r-linearized polynomial equations to r-linearized polynomial equations
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2015
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Neranga Fernando
Xiang‐dong Hou
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+
PDF
Chat
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Switchings of semifield multiplications
|
2015
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Xiang‐dong Hou
Ferruh Özbudak
Yue Zhou
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+
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Determination of a type of permutation trinomials over finite fields, II
|
2015
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Xiang‐dong Hou
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+
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Algebraic number theory
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2015
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Xiang‐dong Hou
|
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+
PDF
Chat
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Lattice of ideals of the polynomial ring over a commutative chain ring
|
2015
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Xiang‐dong Hou
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+
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From $r$-Linearized Polynomial Equations to $r^m$-Linearized Polynomial Equations
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2015
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Neranga Fernando
Xiang‐dong Hou
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+
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Permutation Polynomials of $\Bbb F_{q^2}$ of the form $a{\tt X}+{\tt X}^{r(q-1)+1}$
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2015
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Xiang‐dong Hou
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+
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Polynomials Meeting Ax's Bound
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2015
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Xiang‐dong Hou
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+
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Proof of a conjecture on monomial graphs
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2015
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Xiang‐dong Hou
Stephen D. Lappano
Felix Lazebnik
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+
PDF
Chat
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Determination of a type of permutation binomials over finite fields
|
2014
|
Xiang‐dong Hou
Stephen D. Lappano
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+
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On Global $\mathcal P$-Forms
|
2014
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Xiang‐dong Hou
|
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+
PDF
Chat
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Determination of a type of permutation trinomials over finite fields
|
2014
|
Xiang‐dong Hou
|
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+
PDF
Chat
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A class of permutation trinomials over finite fields
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2014
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Xiang‐dong Hou
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+
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Finite Fields and Infinite Groups
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2014
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Xiang‐dong Hou
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+
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On Global $\mathcal P$-Forms
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2014
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Xiang‐dong Hou
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+
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Determination of a Type of Permutation Trinomials over Finite Fields, II
|
2014
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Xiang‐dong Hou
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+
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A New Class of Permutation Binomials over Finite Fields
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2013
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Xiang‐dong Hou
Stephen D. Lappano
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Permutation polynomials over finite fields involving<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="monospace"><mml:mi>x</mml:mi></mml:mstyle><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mstyle mathvariant="monospace"><mml:mi>x</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mo>⋯</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mstyle mathvariant="…
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2013
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Neranga Fernando
Xiang‐dong Hou
Stephen D. Lappano
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PDF
Chat
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Proof of a conjecture on permutation polynomials over finite fields
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2013
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Xiang‐dong Hou
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+
PDF
Chat
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Connected quandles associated with pointed abelian groups
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2013
|
Edwin W. Clark
Mohamed Elhamdadi
Xiang‐dong Hou
Masahico Saito
Timothy J. Yeatman
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+
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Classification of p-ary self dual quadratic bent functions, p odd
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2013
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Xiang‐dong Hou
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+
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A class of permutation binomials over finite fields
|
2013
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Xiang‐dong Hou
|
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+
PDF
Chat
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Galkin Quandles, Pointed Abelian Groups, and Sequence A000712
|
2013
|
William Edwin. Clark
Xiang‐dong Hou
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+
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A new approach to permutation polynomials over finite fields, II
|
2013
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Neranga Fernando
Xiang‐dong Hou
Stephen D. Lappano
|
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+
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Determination of a Type of Permutation Trinomials over Finite Fields
|
2013
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Xiang‐dong Hou
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+
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Proof of a Conjecture on Permutation Polynomials over Finite Fields
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2013
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Xiang‐dong Hou
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+
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Lattice of Ideals of the Polynomial Ring over a Commutative Chain Ring
|
2013
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Xiang‐dong Hou
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+
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A Class of Permutation Trinomials over Finite Fields
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2013
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Xiang‐dong Hou
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+
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Determination of a Type of Permutation Binomials over Finite Fields
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2013
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Xiang‐dong Hou
Stephen D. Lappano
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+
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FINITE MODULES OVER ℤ[t, t<sup>-1</sup>]
|
2012
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Xiang‐dong Hou
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+
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A Class of Permutation Binomials over Finite Fields
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2012
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Xiang‐dong Hou
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+
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Sums of Reciprocals of Polynomials over Finite Fields
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2012
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K. Hicks
Xiang‐dong Hou
Gary L. Mullen
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+
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A New Approach to Permutation Polynomials over Finite Fields, II
|
2012
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Neranga Fernando
Xiang‐dong Hou
Stephen D. Lappano
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+
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Classification of self dual quadratic bent functions
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2011
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Xiang‐dong Hou
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+
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Automorphism groups of Alexander quandles
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2011
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Xiang‐dong Hou
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+
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Third Power of the Reversed Dickson Polynomial over Finite Fields
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2011
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Xiang‐dong Hou
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+
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Finite Modules over $\Bbb Z[t,t^{-1}]$
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2011
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Xiang‐dong Hou
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+
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Galkin Quandles, Pointed Abelian Groups, and Sequence $A000712$
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2011
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W. Edwin Clark
Xiang‐dong Hou
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+
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Necessary conditions for reversed Dickson polynomials to be permutational
|
2010
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Xiang‐dong Hou
Tue Ly
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+
PDF
Chat
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On certain diagonal equations over finite fields
|
2009
|
Xiang‐dong Hou
Christopher Sze
|
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+
PDF
Chat
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Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields
|
2009
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Xiang‐dong Hou
Gary L. Mullen
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+
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Enumeration of ${\rm AGL}(\frac m3, {\Bbb F}_{p^3})$-Invariant Extended Cyclic Codes
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2009
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Xiang‐dong Hou
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+
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Rational power series, sequential codes and periodicity of sequences
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2008
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Xiang‐dong Hou
Sergio R. López-Permouth
Benigno R. Parra-Avila
|
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+
PDF
Chat
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On the analytic solution of the Cauchy problem
|
2008
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Xiang‐dong Hou
|
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+
PDF
Chat
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Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups
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2008
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Xiang‐dong Hou
|
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+
PDF
Chat
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When is Betweenness Preserved?
|
2008
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Xiang‐dong Hou
Gregory L. McColm
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+
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Number of Irreducible Polynomials and Pairs of Relatively Prime Polynomials in Several Variables over Finite Fields
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2008
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Xiang‐dong Hou
Gary L. Mullen
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+
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The number of inequivalent binary self-orthogonal codes of dimension 6
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2007
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Xiang‐dong Hou
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+
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On a vector space analogue of Kneser’s theorem
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2007
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Xiang‐dong Hou
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+
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Explicit Evaluation of Certain Exponential Sums of Quadratic Functions over $\Bbb F_{p^n}$, $p$ Odd
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2007
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Sandra Draper
Xiang‐dong Hou
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+
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On the Number of Inequivalent Binary Self-Orthogonal Codes
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2007
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Xiang‐dong Hou
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+
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Finite Frobenius Rings and Their Applications
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2007
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Xiang‐dong Hou
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+
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Explicit evaluation of certain exponential sums of binary quadratic functions
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2006
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Xiang‐dong Hou
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+
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A construction of finite Frobenius rings and its application to partial difference sets
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2006
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Xiang‐dong Hou
Alexandr Nechaev
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+
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On the asymptotic number of inequivalent binary self-dual codes
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2006
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Xiang‐dong Hou
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+
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Corrigendum to “Enumeration of isomorphism classes of extensions of p-adic fields” [J. Number Theory 104 (2004) 14–61]
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2005
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Xiang‐dong Hou
Kevin Keating
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+
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Affinity of permutations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:math>
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2005
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Xiang‐dong Hou
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+
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On the asymptotic number of non-equivalent q-ary linear codes
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2005
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Xiang‐dong Hou
|
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+
PDF
Chat
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The affinity of a permutation of a finite vector space
|
2005
|
W. Edwin Clark
Xiang‐dong Hou
Alec Mihailovs
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+
PDF
Chat
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A Ring Theoretic Construction of Hadamard Difference Sets in ℤ8n×ℤ2n
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2005
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Xiang‐dong Hou
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+
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Enumeration of certain affine invariant extended cyclic codes
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2004
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Xiang‐dong Hou
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+
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A note on the proof of a theorem of Katz
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2004
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Xiang‐dong Hou
|
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+
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A Note on the Proof of Niho's Conjecture
|
2004
|
Xiang‐dong Hou
|
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+
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The Affinity of a Permutation of a Finite Vector Space
|
2004
|
W. Edwin Clark
Xiang‐dong Hou
Alec Mihailovs
|
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+
PDF
Chat
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Enumeration of isomorphism classes of extensions of p-adic fields
|
2003
|
Xiang‐dong Hou
Kevin Keating
|
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+
PDF
Chat
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Solution to a problem of S. Payne
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2003
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Xiang‐dong Hou
|
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+
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Group Actions on Binary Resilient Functions
|
2003
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Xiang‐dong Hou
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+
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Elementary divisors of tensor products and p-ranks of binomial matrices
|
2003
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Xiang‐dong Hou
|
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+
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Rings and constructions of partial difference sets
|
2003
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Xiang‐dong Hou
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+
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On the groups of units of finite commutative chain rings
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2003
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Xiang‐dong Hou
Ka Hin Leung
Siu Lun
|
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+
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A Generalization of an Addition Theorem of Kneser
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2002
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Xiang‐dong Hou
Ka Hin Leung
Qing Xiang
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+
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New partial difference sets inp-groups
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2002
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Xiang‐dong Hou
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+
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Finite Commutative Chain Rings
|
2001
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Xiang‐dong Hou
|
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+
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The eigenmatrix of the linear association scheme on R(2,m)
|
2001
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Xiang‐dong Hou
|
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+
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New Partial Difference Sets in Ztp2 and a Related Problem about Galois Rings
|
2001
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Xiang‐dong Hou
Ka Hin Leung
Qing Xiang
|
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+
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Enumeration of Isomorphism Classes of Extensions of p-adic Fields
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2001
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Xiang‐dong Hou
Kevin Keating
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+
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None
|
2000
|
Xiang‐dong Hou
|
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+
PDF
Chat
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None
|
2000
|
Xiang‐dong Hou
Surinder K. Sehgal
|
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+
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An extension of building sets and relative difference sets
|
2000
|
Xiang‐dong Hou
Surinder K. Sehgal
|
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+
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Cubic bent functions
|
1998
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Xiang‐dong Hou
|
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+
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On the centralizer of the centralizer of a matrix
|
1997
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Xiang‐dong Hou
|
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+
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The covering radius of R(1, 9) in R(4, 9)
|
1996
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Xiang‐dong Hou
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+
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On the covering radius of R(1, m) in R(3, m)
|
1996
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Xiang‐dong Hou
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+
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GL(m, 2) acting on R(r, m)/R(r − 1, m)
|
1996
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Xiang‐dong Hou
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+
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None
|
1996
|
Xiang‐dong Hou
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+
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AGL(m, 2) Acting on R(r, m)/R(s, m)
|
1995
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Xiang‐dong Hou
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+
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On theG-matrices with entries and eigenvalues inQ(i)
|
1992
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Xiang‐dong Hou
|
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+
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Binary linear quasi-perfect codes are normal
|
1991
|
Xiang‐dong Hou
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+
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An improved sphere covering bound for the codes with n=3R+2
|
1990
|
Xiang‐dong Hou
|