Péter Kutas

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All published works

Action	Title	Year	Authors
+	Efficient computations in central simple algebras using Amitsur cohomology	2024	Péter Kutas Mickaël Montessinos
+ PDF Chat	Finding orientations of supersingular elliptic curves and quaternion orders	2024	Sarah Arpin James Clements Pierrick Dartois Jonathan Komada Eriksen Péter Kutas Benjamin Wesolowski
+ PDF Chat	SQIAsignHD: SQIsignHD Adaptor Signature	2024	Farzin Renan Péter Kutas
+	Hidden Stabilizers, the Isogeny To Endomorphism Ring Problem and the Cryptanalysis of pSIDH	2023	Mingjie Chen Muhammad Imran Gábor Ivanyos Péter Kutas Antonin Leroux Christophe Petit
+	Efficient computations in central simple algebras using Amitsur cohomology	2023	Péter Kutas Mickaël Montessinos
+	Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders	2023	Sarah Arpin James Clements Pierrick Dartois Jonathan Komada Eriksen Péter Kutas Benjamin Wesolowski
+	Hidden Stabilizers, the Isogeny to Endomorphism Ring Problem and the Cryptanalysis of pSIDH	2023	Mingjie Chen Muhammad Imran Gábor Ivanyos Péter Kutas Antonin Leroux Christophe Petit
+ PDF Chat	Explicit isomorphisms of quaternion algebras over quadratic global fields	2022	Tímea Csahók Péter Kutas Mickaël Montessinos Gergely Zábrádi
+ PDF Chat	Finding Nontrivial Zeros of Quadratic Forms over Rational Function Fields of Characteristic 2	2022	Péter Kutas Mickaël Montessinos Gergely Zábrádi Tímea Csahók
+	Finding nontrivial zeros of quadratic forms over rational function fields of characteristic 2	2022	Tímea Csahók Péter Kutas Mickaël Montessinos Gergely Zábrádi
+ PDF Chat	An identification system based on the explicit isomorphism problem	2021	Sándor Z. Kiss Péter Kutas
+	Primitive idempotents in central simple algebras over <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:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> with an application to coding theory	2021	José Gómez-Torrecillas Péter Kutas F. J. Lobillo Gabriel Navarro
+ PDF Chat	Improved Torsion-Point Attacks on SIDH Variants	2021	Victoria de Quehen Péter Kutas Christopher Leonardi Chloe Martindale Lorenz Panny Christophe Petit Katherine E. Stange
+	Algorithmic applications of the corestriction of central simple algebras.	2020	Tímea Csahók Péter Kutas Gergely Zábrádi
+	Weak instances of SIDH variants under improved torsion-point attacks	2020	Péter Kutas Chloe Martindale Lorenz Panny Christophe Petit Katherine E. Stange
+	Improved torsion point attacks on SIDH variants	2020	Victoria de Quehen Péter Kutas Christopher Leonardi Chloe Martindale Lorenz Panny Christophe Petit Katherine E. Stange
+	Primitive idempotents in central simple algebras over $\mathbb{F}_q(t)$ with an application to coding theory	2020	José Gómez-Torrecillas Péter Kutas F. J. Lobillo Gabriel Navarro
+	Explicit isomorphisms of quaternion algebras over quadratic global fields	2020	Tímea Csahók Péter Kutas Mickaël Montessinos Gergely Zábrádi
+	Improved torsion point attacks on SIDH variants	2020	Victoria de Quehen Péter Kutas Christopher Leonardi Chloe Martindale Lorenz Panny Christophe Petit Katherine E. Stange
+	An identification system based on the explicit isomorphism problem	2018	Sándor Z. Kiss Péter Kutas
+	Explicit equivalence of quadratic forms over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><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 stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2018	Gábor Ivanyos Péter Kutas Lajos Rónyai
+	Splitting quaternion algebras over quadratic number fields	2018	Péter Kutas
+	An identification system based on the explicit isomorphism problem	2018	Sándor Z. Kiss Péter Kutas
+ PDF Chat	Algebraic conditions for additive functions over the reals and over finite fields	2017	Péter Kutas
+	Algebraic conditions for additive functions over the reals and over finite fields	2017	Péter Kutas
+	Algebraic conditions for additive functions over the reals and over finite fields	2017	Péter Kutas
+	Explicit equivalence of quadratic forms over $\mathbb{F}_q(t)$	2016	Gábor Ivanyos Péter Kutas Lajos Rónyai
+	A regularity condition for quadratic functions involving the unit circle	2016	Zoltán Boros Włodzimierz Fechner Péter Kutas
+	Splitting quaternion algebras over quadratic number fields	2016	Péter Kutas
+	Some Results Concerning the Explicit Isomorphism Problem over Number Fields	2016	Péter Kutas
+	Explicit equivalence of quadratic forms over $\mathbb{F}_q(t)$	2016	Gábor Ivanyos Péter Kutas Lajos Rónyai
+	Splitting quaternion algebras over quadratic number fields	2016	Péter Kutas
+	Computing explicit isomorphisms with full matrix algebras over $\mathbb{F}_q(x)$	2015	Gábor Ivanyos Péter Kutas Lajos Rónyai
+ PDF Chat	Cubes of integral vectors in dimension four	2012	Emil W. Kiss Péter Kutas
+	Cubes of integral vectors in dimension four	2011	Emil W. Kiss Péter Kutas
+	Cubes of integral vectors in dimension four	2011	Emil W. Kiss Péter Kutas

Common Coauthors

Coauthor	Papers Together
Mickaël Montessinos	6
Gábor Ivanyos	6
Christophe Petit	6
Tímea Csahók	5
Gergely Zábrádi	5
Katherine E. Stange	4
Lorenz Panny	4
Lajos Rónyai	4
Chloe Martindale	4
Victoria de Quehen	3
Sándor Z. Kiss	3
Emil W. Kiss	3
Christopher Leonardi	3
Gabriel Navarro	2
Antonin Leroux	2
Pierrick Dartois	2
F. J. Lobillo	2
Muhammad Imran	2
José Gómez-Torrecillas	2
Benjamin Wesolowski	2
Jonathan Komada Eriksen	2
Mingjie Chen	2
James Clements	2
Zoltán Boros	1
Farzin Renan	1
Sarah Arpin	1
Sarah Arpin	1
Włodzimierz Fechner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	9
+	A New Perspective of Cyclicity in Convolutional Codes	2016	José Gómez-Torrecillas F. J. Lobillo Gabriel Navarro	8
+	Splitting full matrix algebras over algebraic number fields	2012	Gábor Ivanyos Lajos Rónyai Josef Schicho	8
+ PDF Chat	Supersingular Isogeny Graphs and Endomorphism Rings: Reductions and Solutions	2018	Kirsten Eisenträger Sean Hallgren Kristin Lauter Travis Morrison Christophe Petit	8
+	A Lie algebra method for rational parametrization of Severi–Brauer surfaces	2005	Willem A. de Graaf Michael Harrison Jana Ṕılniková Josef Schicho	7
+ PDF Chat	Efficient solution of rational conics	2002	J. E. Cremona D. Rusin	7
+	Simple algebras are difficult	1987	Lajos Rónyai	7
+ PDF Chat	Explicit $n$-descent on elliptic curves III. Algorithms	2014	J. E. Cremona Tom Fisher Cathy O'Neil Denis Simon Michael Stoll	7
+	Explicit equivalence of quadratic forms over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><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 stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2018	Gábor Ivanyos Péter Kutas Lajos Rónyai	6
+ PDF Chat	On the quaternion -isogeny path problem	2014	David Kohel Kristin Lauter Christophe Petit Jean-Pierre Tignol	6
+	Computing the structure of finite algebras	1990	Lajos Rónyai	6
+	Splitting quaternion algebras over quadratic number fields	2018	Péter Kutas	5
+	Algorithms for algebras over global fields	1996	Gábor Ivanyos	5
+	Un algorithme de résolution des équations quadratiques en dimension 5 sans factorisation	2011	Pierre Castel	5
+ PDF Chat	Generators and irreducible polynomials over finite fields	1997	Daqing Wan	5
+	Trivializing a central simple algebra of degree 4 over the rational numbers	2007	Jana Ṕılniková	5
+	Decompositions of algebras over ? and ?	1991	Wayne Eberly	4
+ PDF Chat	Division algebras and maximal orders for given invariants	2016	Gebhard Böckle Damián Gvirtz	4
+ PDF Chat	Orienting supersingular isogeny graphs	2020	Leonardo Colò David Kohel	4
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	4
+	Supersingular j-invariants as singular moduli mod p	1989	Masanobu Kaneko	4
+ PDF Chat	On oriented supersingular elliptic curves	2020	Hiroshi Onuki	4
+	Decomposition of algebras overF q (X 1,...,X m )	1994	Gábor Ivanyos Lajos R�nyai �gnes Sz�nt�	4
+	Computing isogenies between supersingular elliptic curves over $${\mathbb {F}}_p$$ F p	2014	Christina Delfs Steven D. Galbraith⋆	4
+ PDF Chat	Über die Classenzahl quadratischer Zahlkörper	1935	Carl Ludwig Siegel	4
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras	3
+ PDF Chat	The supersingular isogeny path and endomorphism ring problems are equivalent	2022	Benjamin Wesolowski	3
+	Primitive idempotents in central simple algebras over <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:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> with an application to coding theory	2021	José Gómez-Torrecillas Péter Kutas F. J. Lobillo Gabriel Navarro	3
+ PDF Chat	Higher descents on an elliptic curve with a rational 2-torsion point	2016	Tom Fisher	3
+	Factoring integers with the number field sieve	1993	Joe Buhler H. W. Lenstra Carl Pomerance	3
+ PDF Chat	Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms	2013	John Voight	3
+	Hard and Easy Problems for Supersingular Isogeny Graphs.	2017	Christophe Petit Kristin Lauter	3
+ PDF Chat	Explicit 5-descent on elliptic curves	2013	Tom Fisher	3
+	The Book of Involutions	1998	Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol	3
+ PDF Chat	Rational Isogenies from Irrational Endomorphisms	2020	Wouter Castryck Lorenz Panny Fréderik Vercauteren	3
+	Factoring and decomposing ore polynomials over <b>F</b> <sub> <i>q</i> </sub> ( <i>t</i> )	2003	Mark Giesbrecht Yang Zhang	3
+ PDF Chat	Solving conics over function fields	2006	Mark van Hoeij J. E. Cremona	3
+ PDF Chat	Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve	2014	Tom Fisher Rachel Newton	3
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	2
+	Some Results Concerning the Explicit Isomorphism Problem over Number Fields	2016	Péter Kutas	2
+	Asymptotically Fast Triangularization of Matrices over Rings	1991	James Lee Hafner Kevin S. McCurley	2
+ PDF Chat	Sums of squares and orthogonal integral vectors	2011	Lee M. Goswick Emil W. Kiss Gábor Moussong Nándor Simányi	2
+	An Asymptotic Formula for the Number of Smooth Values of a Polynomial	2002	Greg Martin	2
+ PDF Chat	�ber die Komposition der quadratischen Formen	1922	A. Hurwitz	2
+	The number of curves of genus two with elliptic differentials.	1997	Ernst Kani	2
+	A regularity condition for quadratic functions involving the unit circle	2016	Zoltán Boros Włodzimierz Fechner Péter Kutas	2
+ PDF Chat	�ber die Primfunktionen in einer arithmetischen Progression	1919	Heinrich Kornblum Edmund Landau	2
+ PDF Chat	Solving quadratic equations using reduced unimodular quadratic forms	2005	Denis Simon	2
+ PDF Chat	Explicit n-descent on elliptic curves, II. Geometry	2009	J. E. Cremona Tom Fisher Caroline A. O’Neil Denis Simon Michael Stoll	2
+	Computing explicit isomorphisms with full matrix algebras over $\mathbb{F}_q(x)$	2015	Gábor Ivanyos Péter Kutas Lajos Rónyai	2