Research Articles
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Here is a list of my articles. Be careful, some of the articles could be not the latest versions.
Years
2015 -- 2014 -- 2013 -- 2012 -- 2011 -- 2010 -- 2009 -- 2008 -- 2007 -- 2006 -- 2005 -- 2004 -- 2003 -- 2001
2015
Articles
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Common composites of triangular polynomial systems and hash functions, Journal of Symbolic Computation
Alina Ostafe, Domingo Gomez, Jaime Gutierrez
Journal of Symbolic Computation. Volume: . Pages: --.
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Analyzing collaboration and interaction in learning environments to form learner groups.
Rafael Duque, Domingo Gomez-Perez, Alicia Nieto-Reyes, Crescencio Bravo
Computers in Human Behavior. Volume: . Pages: 42-49.
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Subgroups Generated by Rational Functions in Finite Fields
Domingo Gomez-Perez, Igor E. Shparlinski
Monatshefte für Mathematik. Volume: 2. Pages: 241-253.
2014
Articles
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On lattice profile of the elliptic curve linear congruential generators
Zhixiong Chen, Domingo Gomez, Gottlieb Pirsic
Periodica Mathematica Hungarica. Volume: 68(1). Pages: 1-12.
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On Irreducible Divisors of Iterated Polynomials
Domingo Gomez-Perez, Alina Ostafe, Igor E. Shparlinski
Revista Matematica Iberoamericana. Volume: 30 (4). Pages: 1123–1134.
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Algebraic Entropy, Automorphisms and Sparsity of Algebraic Dynamical Systems and Pseudorandom Number Generators
Domingo Gomez-Perez, Alina Ostafe, Igor E. Shparlinski
Mathematics of Computation. Volume: 83. Pages: 1535-1550.
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Stable Polynomials over Finite Fields
Alina Ostafe, Domingo Gomez, Daniel Sadornil, Alejandro Nicolas
Revista Matematica Iberoamericana. Volume: 2. Pages: 523–535.
Proceedings in Conferences
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On the Linear Complexity and Lattice Test of Nonlinear Pseudorandom Number Generators
Jaime Gutierrez, Domingo Gomez-Perez
Applicable Algebra and Number Theory. Volume: . Pages: --.
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The
Oscar Garcia Morchon, Domingo Gomez-Perez, Jaime Gutierrez, Ronald Rietman, Ludo Tolhuizen
ISSAC. Volume: . Pages: 186-193.
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On the lattice Structure of Inversive PRNG via the Additive Order
Ana Gomez, Domingo Gomez-Perez
Sequences and Their Applications. Volume: . Pages: 212-219.
2013
Articles
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A general discrepancy bound for hybrid sequences involving Halton sequences
Roswitha Hofer, Domingo Gomez, Harald Niederreiter
Uniform Distribution Theory. Volume: 8. Pages: 31--45.
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Predicting Masked Linear Pseudorandom Number Generators Over Finite Fields
Jaime Gutierrez, Alvar Ibeas, Jaime Gutierrez, Domingo Gomez-Perez, Igor Shparlinski
Design, Codes and Cryptography. Volume: 67(3). Pages: 395--402.
2012
Articles
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Multiplicative Character Sums of Fermat Quotients and Pseudorandom Sequences
Domingo Gomez, Arne Winterhof
Periodica Mathematica Hungarica. Volume: 64 (2). Pages: 161--168.
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On the connectedness of finite distance graphs
Alvar Ibeas, Domingo Gomez, Jaime Gutierrez
Networks. Volume: 60(3). Pages: 204--209.
Proceedings in Conferences
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Linear Complexity of Binary Sequences Derived from Polynomial Quotients
Zhixiong Chen, Domingo Gomez-Perez
Proc. SETA'12. Volume: 7280. Pages: 181--189.
2011
Articles
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On the linear complexity of the Naor–Reingold sequence
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Information Processing Letters. Volume: 111 (17). Pages: 854--856.
2010
Articles
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On the Linear Complexity of the Naor-Reingold Sequence with Elliptic curves
Marcos Cruz, Domingo Gomez, Daniel Sadornil
Finite Fields and Their Applications. Volume: 16 (5). Pages: 329--333.
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An Estimate on the Number of Stable Quadratic Polynomials
Alejandro Piñéira, Domingo Gomez
Finite Fields and Their Applications. Volume: 16 (5). Pages: 329--333.
Proceedings in Conferences
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Multiplicative Character Sums for Nonlinear Counter-Dependent Recurring Sequences
Domingo Gomez
Proc. SETA'10. Volume: 6338. Pages: 188--195.
2009
Articles
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Common factors of resultants modulo $p$
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas, David Sevilla
Bulletion of the Australian Mathematics Society. Volume: 2. Pages: 299--302.
Proceedings in Conferences
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On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings
Domingo Gomez, Edwin El-Mahassni
Proc. AAECC'09. Volume: 5527. Pages: 195--203.
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Distribution of Digital Explicit Inversive Pseudorandom Numbers and Their Binary Threshold Sequence
Zhixiong Chen, Domingo Gomez, Arne Winterhof
Monte Carlo and Quasi- Monte Carlo Methods 2008.. Volume: . Pages: 249--258.
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Waring's problem in finite fields with Dickson Polynomials
Domingo Gomez, Arne Winterhof
Contemporary Mathematics. Volume: 518. Pages: 185--192.
2008
Articles
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On the Distribution of Counter-Dependent Nonlinear Congruential Pseudorandom Number Generators in Residue Rings
Domingo Gomez, Edwin El-Mahassni
International Journal of Number Theory. Volume: 6. Pages: 1009--1018.
Proceedings in Conferences
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Multiplicative Character Sums for Nonlinear Recurring Sequences with Dickson Polynomials
Domingo Gomez, Arne Winterhof
Contemporary Mathematics. Volume: 461. Pages: 147--151.
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Multiplicative Character Sums for Nonlinear Recurring Sequences with Rédei Functions
Domingo Gomez, Arne Winterhof
Proc. SETA'08. Volume: 5203. Pages: 175--181.
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Cryptographic aspects of Some Pseudorandom Sequences
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Nuevos Avances en Criptografía y Codificación de la Información.. Volume: . Pages: 77--86.
2007
Articles
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Cayley Digraphs of Finite Abelian Groups and Monomial Ideals
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
SIAM of Discrete Mathematics. Volume: 21 (3). Pages: 763--784.
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Optimal Routing in Loop Computer Networks
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Theoretical Computer Science. Volume: 381 (1-3). Pages: 68--85.
2006
Articles
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Exponential Sums with Dickson Polynomials
Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski
Finite Fields and Their Applications. Volume: 12. Pages: 16--25.
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Reconstructing Noisy Polynomial Evaluation in Residue Rings
Simon R. Blackburn, Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski
Journal of Algorithms. Volume: 61-12. Pages: 47--59.
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Attacking the Pollard Generator
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
IEEE Transactions on Information. Volume: 52 (12). Pages: 5518--5523.
Proceedings in Conferences
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Integer Factoring with Extra Information
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Proc. RECSI 2006. Volume: . Pages: 573--583.
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An Algorithm for Finding Small Roots of Multivariate Polynomials over the Integers
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Proc. Segundas Jornadas de Teoría de Números. Volume: . Pages: 165--182.
2005
Articles
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Predicting Nonlinear Pseudorandom Number Generators
Simon R. Blackburn, Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski
Mathematics and Computation. Volume: 74. Pages: 1471--1494.
Proceedings in Conferences
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On Finding a Shortest Path in Circulant Graphs with Two Jumps
Ramon Beivide, Domingo Gomez-Perez, Jaime Gutierrez, Alvar Ibeas, Carmen Martinez
Proc. COCOON'05. Volume: 3595. Pages: 777--786.
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Cryptanalysis of the Quadratic Generator
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Proc. INDOCRYPT'05. Volume: 3797. Pages: 118--129.
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Circulant Digraphs and Monomial Ideals
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Proc. CASC'05. Volume: 3718. Pages: 196--207.
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Digrafos Circulantes e Ideales Monomiales
Domingo Gomez, Jaime Gutierrez, Alvar Ibeas
Actas EGC'05. Volume: . Pages: 54--67.
2004
Proceedings in Conferences
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Encaminamiento en Grafos Dirigidos de Grado Cuatro
Ramon Beivide, Domingo Gomez-Perez, Jaime Gutierrez, Alvar Ibeas, Carmen Martinez
Actas EACA'04. Volume: . Pages: 145--149.
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Prediciendo el Generador Cuadrático
Domingo Gomez-Perez, Jaime Gutierrez, Alvar Ibeas, David Sevilla
Avances en Criptologia y Seguridad de la Informacion. Volume: . Pages: 185--195.
2003
Proceedings in Conferences
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Predicting the Inversive Generator
Simon R. Blackburn, Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski
Proc. IMA 9. Volume: 2898. Pages: 264--275.
2001
Proceedings in Conferences
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Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers
Domingo Gomez-Perez, Jaime Gutierrez
Proc. AAECC. Volume: 2227. Pages: 194--204.