Rafael Arce

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All published works

Action	Title	Year	Authors
+ PDF Chat	Analysis and computation of multidimensional linear complexity of periodic arrays	2023	Rafael Arce C. Hernández J. L. Ortiz Ivelisse Rubio Jaziel Torres
+	Analysis and Computation of Multidimensional Linear Complexity of Periodic Arrays	2022	Rafael Arce Carlos Hernández J. L. Ortiz Ivelisse Rubio Jaziel Torres
+	On the cut number problem for the 4, and 5-cubes	2020	M. R. Emamy-K. Rafael Arce
+	Bound for mixed exponential sums associated to binary good cyclic codes	2019	Rafael Arce Francis N. Castro Braulio Molina
+	New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ’s conjecture	2017	Rafael Arce Francis N. Castro Oscar E. González Luis A. Medina Ivelisse Rubio
+	On the number of solutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mo>∑</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow></mml:msubsup><mml:mfrac><mml:mn>1</mml:mn><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mfrac><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>in …	2013	Rafael Arce Fernando Castro Raúl Figueroa
+ PDF Chat	Algebraic Symmetries of Generic $(m+1)$-Dimensional Periodic Costas Arrays	2012	José Ortiz-Ubarri Óscar Moreno Andrew Tirkel Rafael Arce Solomon W. Golomb

Common Coauthors

Coauthor	Papers Together
Ivelisse Rubio	3
J. L. Ortiz	2
Jaziel Torres	2
Francis N. Castro	2
Oscar E. González	1
Luis A. Medina	1
Raúl Figueroa	1
Óscar Moreno	1
José Ortiz-Ubarri	1
C. Hernández	1
Solomon W. Golomb	1
Fernando Castro	1
Braulio Molina	1
Carlos Hernández	1
Andrew Tirkel	1
M. R. Emamy-K.	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Old and new problems and results in combinatorial number theory	1980	P. Erdős Ronald Graham	1
+	An improved Mordell type bound for exponential sums	2004	Todd Cochrane Christopher Pinner	1
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy	1
+ PDF Chat	The number of representations of rationals as a sum of unit fractions	2011	T. D. Browning Christian Elsholtz	1
+ PDF Chat	On the equation $\sum_{p\|N}\frac1p+\frac1N = 1$, pseudoperfect numbers, and perfectly weighted graphs	1999	William Butske Lynda M. Jaje Daniel R. Mayernik	1
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	1
+	Lectures on Polytopes	1994	Günter M. Ziegler	1
+ PDF Chat	Mixed exponential sums over finite fields	2000	Carlos Moreno Francis N. Castro	1
+ PDF Chat	Denser Egyptian fractions	2000	Greg Martin	1
+	Enumeration of balanced symmetric functions over	2010	Shaojing Fu Chao Li K. Matsuura Longjiang Qu	1
+	On the Number of Solutions of ∑sj = 1(1/xj) + 1/(x1 · · · xs) = 1	1993	Lawrence Brenton Daniel Drucker	1
+ PDF Chat	On the Diophantine equation 1 =∑1<i>∕n</i><sub><i>i</i></sub>+ 1<i>∕</i>∏<i>n</i><sub><i>i</i></sub>and a class of homologically trivial complex surface singularities	1988	Lawrence Brenton Richard Hill	1
+ PDF Chat	A further refinement of Mordell's bound on exponential sums	2005	Todd Cochrane Jeremy P. Coffelt Christopher Pinner	1
+	The asymptotic number of solutions of a diophantine equation from coding theory	1975	David W. Boyd	1
+ PDF Chat	On recursive solutions of a unit fraction equation	1994	Lawrence Brenton Robert Bruner	1
+ PDF Chat	Exact $p$-divisibility of exponential sums via the covering method	2014	Francis N. Castro Ivelisse Rubio	1
+	Tight bounds for Chevalley–Warning–Ax–Katz type estimates, with improved applications	2004	Óscar Moreno Kenneth W. Shum Francis N. Castro P. Vijay Kumar	1
+	On distinct unit fractions whose sum equals 1	1973	Nechemia Burshtein	1
+	On the equation Σj = 1s(1xj) + (1(x1 … xs)) = 1 and Znám's problem	1987	Zhenfu Cao Rui Liu Zhang Liangrui	1
+ PDF Chat	Egyptian fractions with restrictions	2012	Yong-Gao Chen Christian Elsholtz Jiang Lili	1
+ PDF Chat	A Note on a Conjecture for Balanced Elementary Symmetric Boolean Functions	2012	Wei Su Xiaohu Tang Alexander Pott	1
+	Using Stepanov's method for exponential sums involving rational functions	2005	Todd Cochrane Christopher Pinner	1
+	Surveys in Combinatorics, 1993	1993	Keith Walker	1
+	A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ’s conjecture	2015	Francis N. Castro Oscar E. González Luis A. Medina	1
+	On Some Exponential Sums	1948	André Weil	1
+	ON A SUM ANALOGOUS TO A GAUSS'S SUM	1932	L. J. Mordell	1
+ PDF Chat	Distortion maps for supersingular genus two curves	2009	Steven D. Galbraith⋆ Jordi Pujolàs Christophe Ritzenthaler Benjamin Smith	1
+	The Degree of Balanced Elementary Symmetric Boolean Functions of <formula formulatype="inline"> <tex Notation="TeX">${{\bf 4k}+{\bf 3}}$</tex> </formula> Variables	2011	Guangpu Gao Wenfen Liu Xiyong Zhang	1
+	Divisibility properties for covering radius of certain cyclic codes	2003	Óscar Moreno Francis N. Castro	1
+ PDF Chat	On a conjecture for balanced symmetric Boolean functions	2009	Cusick Thomas W. Yuan Li Stănică Pantelimon	1
+	Balanced Symmetric Functions Over ${\hbox{GF}}(p)$	2008	Thomas W. Cusick Yuan Li Pantelimon Stănică	1
+	Construction of systems of polynomial equations with exact p-Divisibility via the covering method	2013	Francis N. Castro Ivelisse Rubio	1
+	On distinct unit fractions whose sum equals 1	2005	Nechemia Burshtein	1
+	Znam's Problem	2002	Lawrence Brenton Ana Vasiliu	1
+	Egyptian Fractions and the Inheritance Problem	1998	Premchand Anne	1
+	Finding a Gröbner basis for the ideal of recurrence relations on <i>m</i>-dimensional periodic arrays	2016	Ivelisse Rubio Moss E. Sweedler C. Heegard	1
+	93.20 Egyptian fraction representations of 1 with odd denominators	2009	Peter Shiu	1
+	All the solutions of the equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mo>∑</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow></mml:msubsup><mml:mspace width="0.16em" /><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></…	2007	Nechemia Burshtein	1
+ PDF Chat	n-dimensional optical orthogonal codes, bounds and optimal constructions	2019	T. L. Alderson	1
+ PDF Chat	Linear Recurrences and Asymptotic Behavior of Exponential Sums of Symmetric Boolean Functions	2011	Francis N. Castro Luis A. Medina	1
+ PDF Chat	Unsolved Problems in Number Theory	2004	Richard K. Guy	1
+	Egyptian Fractions and the Inheritance Problem	1998	Premchand Anne	1
+ PDF Chat	A Classical Introduction to Modern Number Theory	1990	Kenneth Ireland Michael Rosen	1
+	Znam's Problem	2002	Lawrence Brenton Ana Vasiliu	1