.. title: Research Articles .. slug: res .. date: 2014/02/12 15:49:07 .. tags: .. link: .. description: .. type: text "**COPYRIGHT NOTICE**" (proposed by the ACM). The documents distributed by this server have been provided by the contributing authors as a means to ensure timely dissemination of scholarly and technical work on a noncommercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holders. 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 --------------- - **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: --. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **Subgroups Generated by Rational Functions in Finite Fields** *Domingo Gomez-Perez, Igor E. Shparlinski* Monatshefte für Mathematik. Volume: 2. Pages: 241-253. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2014 =============== Articles --------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **On Irreducible Divisors of Iterated Polynomials** *Domingo Gomez-Perez, Alina Ostafe, Igor E. Shparlinski* Revista Matematica Iberoamericana. Volume: 30 (4). Pages: 1123–1134. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **Stable Polynomials over Finite Fields** *Alina Ostafe, Domingo Gomez, Daniel Sadornil, Alejandro Nicolas* Revista Matematica Iberoamericana. Volume: 2. Pages: 523–535. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **On the Linear Complexity and Lattice Test of Nonlinear Pseudorandom Number Generators** *Jaime Gutierrez, Domingo Gomez-Perez* Applicable Algebra and Number Theory. Volume: . Pages: --. `Reference in Bibtex `__ and `Article in pdf `__ - **The** *Oscar Garcia Morchon, Domingo Gomez-Perez, Jaime Gutierrez, Ronald Rietman, Ludo Tolhuizen* ISSAC. Volume: . Pages: 186-193. `Reference in Bibtex `__ and `Article in pdf `__ - **On the lattice Structure of Inversive PRNG via the Additive Order** *Ana Gomez, Domingo Gomez-Perez* Sequences and Their Applications. Volume: . Pages: 212-219. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2013 =============== Articles --------------- - **A general discrepancy bound for hybrid sequences involving Halton sequences** *Roswitha Hofer, Domingo Gomez, Harald Niederreiter* Uniform Distribution Theory. Volume: 8. Pages: 31--45. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2012 =============== Articles --------------- - **Multiplicative Character Sums of Fermat Quotients and Pseudorandom Sequences** *Domingo Gomez, Arne Winterhof* Periodica Mathematica Hungarica. Volume: 64 (2). Pages: 161--168. `Reference in Bibtex `__ and `Article in pdf `__ - **On the connectedness of finite distance graphs** *Alvar Ibeas, Domingo Gomez, Jaime Gutierrez* Networks. Volume: 60(3). Pages: 204--209. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **Linear Complexity of Binary Sequences Derived from Polynomial Quotients** *Zhixiong Chen, Domingo Gomez-Perez* Proc. SETA'12. Volume: 7280. Pages: 181--189. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2011 =============== Articles --------------- - **On the linear complexity of the Naor–Reingold sequence** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* Information Processing Letters. Volume: 111 (17). Pages: 854--856. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2010 =============== Articles --------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **An Estimate on the Number of Stable Quadratic Polynomials** *Alejandro Piñéira, Domingo Gomez* Finite Fields and Their Applications. Volume: 16 (5). Pages: 329--333. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **Multiplicative Character Sums for Nonlinear Counter-Dependent Recurring Sequences** *Domingo Gomez* Proc. SETA'10. Volume: 6338. Pages: 188--195. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2009 =============== Articles --------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **Waring's problem in finite fields with Dickson Polynomials** *Domingo Gomez, Arne Winterhof* Contemporary Mathematics. Volume: 518. Pages: 185--192. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2008 =============== Articles --------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **Multiplicative Character Sums for Nonlinear Recurring Sequences with Dickson Polynomials** *Domingo Gomez, Arne Winterhof* Contemporary Mathematics. Volume: 461. Pages: 147--151. `Reference in Bibtex `__ and `Article in pdf `__ - **Multiplicative Character Sums for Nonlinear Recurring Sequences with Rédei Functions** *Domingo Gomez, Arne Winterhof* Proc. SETA'08. Volume: 5203. Pages: 175--181. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2007 =============== Articles --------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **Optimal Routing in Loop Computer Networks** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* Theoretical Computer Science. Volume: 381 (1-3). Pages: 68--85. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2006 =============== Articles --------------- - **Exponential Sums with Dickson Polynomials** *Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski* Finite Fields and Their Applications. Volume: 12. Pages: 16--25. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **Attacking the Pollard Generator** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* IEEE Transactions on Information. Volume: 52 (12). Pages: 5518--5523. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **Integer Factoring with Extra Information** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* Proc. RECSI 2006. Volume: . Pages: 573--583. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2005 =============== Articles --------------- - **Predicting Nonlinear Pseudorandom Number Generators** *Simon R. Blackburn, Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski* Mathematics and Computation. Volume: 74. Pages: 1471--1494. `Reference in Bibtex `__ and `Article in pdf `__ Proceedings in Conferences -------------------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **Cryptanalysis of the Quadratic Generator** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* Proc. INDOCRYPT'05. Volume: 3797. Pages: 118--129. `Reference in Bibtex `__ and `Article in pdf `__ - **Circulant Digraphs and Monomial Ideals** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* Proc. CASC'05. Volume: 3718. Pages: 196--207. `Reference in Bibtex `__ and `Article in pdf `__ - **Digrafos Circulantes e Ideales Monomiales** *Domingo Gomez, Jaime Gutierrez, Alvar Ibeas* Actas EGC'05. Volume: . Pages: 54--67. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2004 =============== Proceedings in Conferences -------------------------- - **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. `Reference in Bibtex `__ and `Article in pdf `__ - **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. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2003 =============== Proceedings in Conferences -------------------------- - **Predicting the Inversive Generator** *Simon R. Blackburn, Domingo Gomez-Perez, Jaime Gutierrez, Igor E. Shparlinski* Proc. IMA 9. Volume: 2898. Pages: 264--275. `Reference in Bibtex `__ and `Article in pdf `__ =============== 2001 =============== Proceedings in Conferences -------------------------- - **Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers** *Domingo Gomez-Perez, Jaime Gutierrez* Proc. AAECC. Volume: 2227. Pages: 194--204. `Reference in Bibtex `__ and `Article in pdf `__