Arne Winterhof

IEEE Trans. Inf. Theory, November, 2024

Maximum-Order Complexity and 2-Adic Complexity.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, August, 2024

Primitive elements of finite fields Fqr avoiding affine hyperplanes for q = 4 and q = 5.

[BibT_eX]

[DOI]

Philipp A. Grzywaczyk

Finite Fields Their Appl., 2024

2023

Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions.

[BibT_eX]

[DOI]

IEICE Trans. Fundam. Electron. Commun. Comput. Sci., December, 2023

2022

Arithmetic Crosscorrelation of Pseudorandom Binary Sequences of Coprime Periods.

[BibT_eX]

[DOI]

Zhihua Niu

IEEE Trans. Inf. Theory, 2022

Pseudorandom sequences derived from automatic sequences.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2022

Binary sequences derived from differences of consecutive quadratic residues.

[BibT_eX]

[DOI]

Zibi Xiao

Adv. Math. Commun., 2022

On the index of the Diffie-Hellman mapping.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2022

2021

Binary Sequences Derived From Differences of Consecutive Primitive Roots.

[BibT_eX]

[DOI]

Zibi Xiao

IEEE Trans. Inf. Theory, 2021

2020

A Note on the Cross-Correlation of Costas Permutations.

[BibT_eX]

[DOI]

Domingo Gómez-Pérez

IEEE Trans. Inf. Theory, 2020

A Note on Hall's Sextic Residue Sequence: Correlation Measure of Order $k$ and Related Measures of Pseudorandomness.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2020

The Spherical Kakeya Problem in Finite Fields.

[BibT_eX]

[DOI]

Mehdi Makhul

Audie Warren

SIAM J. Discret. Math., 2020

2019

On the maximum order complexity of subsequences of the Thue-Morse and Rudin-Shapiro sequence along squares.

[BibT_eX]

[DOI]

Zhimin Sun

Int. J. Comput. Math. Comput. Syst. Theory, 2019

Conical Kakeya and Nikodym sets in finite fields.

[BibT_eX]

[DOI]

Audie Warren

Finite Fields Their Appl., 2019

Codes correcting restricted errors.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2019

r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2019

2018

On the 2-Adic Complexity of the Two-Prime Generator.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2018

Non-existence of Some Nearly Perfect Sequences, Near Butson-Hadamard Matrices, and Near Conference Matrices.

[BibT_eX]

[DOI]

Oguz Yayla

Volker Ziegler

Math. Comput. Sci., 2018

Editorial.

[BibT_eX]

[DOI]

Evelyn Buckwar

Peter Kritzer

Gunther Leobacher

Friedrich Pillichshammer

Math. Comput. Simul., 2018

Packing Sets over Finite Abelian Groups.

[BibT_eX]

[DOI]

Oliver Roche-Newton

Ilya D. Shkredov

Integers, 2018

Carlitz rank and index of permutation polynomials.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2018

On the pseudorandomness of automatic sequences.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2018

Hamming correlation of higher order.

[BibT_eX]

[DOI]

Adv. Math. Commun., 2018

2017

On the pseudorandomness of quaternary sequences derived from sequences over $\mathbb F_4$.

[BibT_eX]

[DOI]

Period. Math. Hung., 2017

Complete mappings and Carlitz rank.

[BibT_eX]

[DOI]

Alev Topuzoglu

Des. Codes Cryptogr., 2017

Maximum-Order Complexity and Correlation Measures.

[BibT_eX]

[DOI]

Cryptogr., 2017

Expansion complexity and linear complexity of sequences over finite fields.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2017

On the arithmetic autocorrelation of the Legendre sequence.

[BibT_eX]

[DOI]

Adv. Math. Commun., 2017

2016

On the linear complexity profile of some sequences derived from elliptic curves.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2016

Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences.

[BibT_eX]

[DOI]

Proceedings of the Arithmetic of Finite Fields - 6th International Workshop, 2016

2015

Linear complexity profile and correlation measure of interleaved sequences.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2015

2014

Covering Sets for Limited-Magnitude Errors.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2014

Interpolation of Fermat Quotients.

[BibT_eX]

[DOI]

SIAM J. Discret. Math., 2014

Generalizations of complete mappings of finite fields and some applications.

[BibT_eX]

[DOI]

J. Symb. Comput., 2014

Two Combinatorial Geometric Problems involving Modular Hyperbolas.

[BibT_eX]

[DOI]

Integers, 2014

On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences.

[BibT_eX]

[DOI]

Gottlieb Isabel Pirsic

Des. Codes Cryptogr., 2014

Some highlights of Harald Niederreiter's work.

[BibT_eX]

[DOI]

Gerhard Larcher

Friedrich Pillichshammer

Chaoping Xing

Proceedings of the Applied Algebra and Number Theory, 2014

2013

Addendum to Sidel'nikov sequences over nonprime fields.

[BibT_eX]

[DOI]

Inf. Process. Lett., 2013

Distribution of values of polynomial Fermat quotients.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2013

Finite fields in quantum information theory.

[BibT_eX]

Martin Roetteler

Proceedings of the Handbook of Finite Fields., 2013

Some applications of character sums.

[BibT_eX]

Alina Ostafe

Proceedings of the Handbook of Finite Fields., 2013

Linear complexity of sequences and multisequences.

[BibT_eX]

Proceedings of the Handbook of Finite Fields., 2013

2012

Multiplicative character sums of Fermat quotients and pseudorandom sequences.

[BibT_eX]

[DOI]

Domingo Gómez

Period. Math. Hung., 2012

Correlation Measure of Order k and Linear Complexity Profile of Legendre-Sidelnikov Sequences.

[BibT_eX]

[DOI]

IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2012

Boolean Functions Derived from Pseudorandom Binary Sequences.

[BibT_eX]

[DOI]

Gottlieb Pirsic

Proceedings of the Sequences and Their Applications - SETA 2012, 2012

2011

Correlation of the two-prime Sidel'nikov sequence.

[BibT_eX]

[DOI]

Gottlieb Pirsic

Des. Codes Cryptogr., 2011

Boolean functions derived from Fermat quotients.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2011

Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences.

[BibT_eX]

[DOI]

Proceedings of the Fifth International Workshop on Signal Design and its Applications in Communications, 2011

2010

Autocorrelation of Legendre-Sidelnikov sequences.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2010

On the pseudorandomness of binary and quaternary sequences linked by the gray mapping.

[BibT_eX]

[DOI]

Radwa Marzouk

Period. Math. Hung., 2010

On the structure of digital explicit nonlinear and inversive pseudorandom number generators.

[BibT_eX]

[DOI]

Gottlieb Pirsic

J. Complex., 2010

Permutations of finite fields for check digit systems.

[BibT_eX]

[DOI]

Rasha Shaheen

Des. Codes Cryptogr., 2010

On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences.

[BibT_eX]

[DOI]

Alina Ostafe

Adv. Math. Commun., 2010

Structure of Pseudorandom Numbers Derived from Fermat Quotients.

[BibT_eX]

[DOI]

Alina Ostafe

Proceedings of the Arithmetic of Finite Fields, Third International Workshop, 2010

Recent Results on Recursive Nonlinear Pseudorandom Number Generators - (Invited Paper).

[BibT_eX]

[DOI]

Proceedings of the Sequences and Their Applications - SETA 2010, 2010

2009

-error linear complexity over p of subsequences of Sidelnikov sequences of period (pr - 1)/3.

[BibT_eX]

[DOI]

J. Math. Cryptol., 2009

Measures of pseudorandomness for binary sequences constructed using finite fields.

[BibT_eX]

[DOI]

András Sárközy

Discret. Math., 2009

Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields.

[BibT_eX]

[DOI]

Álvar Ibeas

Proceedings of the Applied Algebra, 2009

2008

Exponential sums for nonlinear recurring sequences.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2008

Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions.

[BibT_eX]

[DOI]

Jaime Gutierrez

Finite Fields Their Appl., 2008

Interpolation of the Double Discrete Logarithm.

[BibT_eX]

[DOI]

Gerasimos C. Meletiou

Proceedings of the Arithmetic of Finite Fields, 2nd International Workshop, 2008

Multiplicative Character Sums of Recurring Sequences with Rédei Functions.

[BibT_eX]

[DOI]

Domingo Gómez

Proceedings of the Sequences and Their Applications, 2008

On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences.

[BibT_eX]

[DOI]

Ayça Çesmelioglu

Proceedings of the Sequences and Their Applications, 2008

2007

On the k-error linear complexity of cyclotomic sequences.

[BibT_eX]

[DOI]

J. Math. Cryptol., 2007

Quantum period reconstruction of approximate sequences.

[BibT_eX]

[DOI]

Inf. Process. Lett., 2007

On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2007

On the Structure of Inversive Pseudorandom Number Generators.

[BibT_eX]

[DOI]

Proceedings of the Applied Algebra, 2007

2006

On the Lower Bound of the Linear Complexity Over BBF_p of Sidelnikov Sequences.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2006

Linear complexity profile of binary sequences with small correlation measure.

[BibT_eX]

[DOI]

Period. Math. Hung., 2006

Polynomial representations of the Lucas logarithm.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2006

Some Notes on the Linear Complexity of Sidel'nikov-Lempel-Cohn-Eastman Sequences.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2006

On the k-error linear complexity over \mathbbFp of Legendre and Sidelnikov sequences.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2006

On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2006

Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem.

[BibT_eX]

[DOI]

Eike Kiltz

Discret. Appl. Math., 2006

On the nonlinearity of linear recurrence sequences.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2006

On the Discrepancy and Linear Complexity of Some Counter-Dependent Recurrence Sequences.

[BibT_eX]

[DOI]

Proceedings of the Sequences and Their Applications, 2006

Constructions of Approximately Mutually Unbiased Bases.

[BibT_eX]

[DOI]

Proceedings of the LATIN 2006: Theoretical Informatics, 2006

Quantum Period Reconstruction of Binary Sequences.

[BibT_eX]

[DOI]

Florina Piroi

Proceedings of the Applied Algebra, 2006

2005

Some notes on the two-prime generator of order 2.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2005

A hidden number problem in small subgroups.

[BibT_eX]

[DOI]

Math. Comput., 2005

On the joint linear complexity profile of explicit inversive multisequences.

[BibT_eX]

[DOI]

J. Complex., 2005

On the linear complexity of bounded integer sequences over different moduli.

[BibT_eX]

[DOI]

Inf. Process. Lett., 2005

Cyclotomic R-orthomorphisms of finite fields.

[BibT_eX]

[DOI]

Discret. Math., 2005

On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders.

[BibT_eX]

[DOI]

Alev Topuzoglu

Appl. Algebra Eng. Commun. Comput., 2005

Noisy interpolation of sparse polynomials in finite fields.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2005

On the Non-linearity and Sparsity of Boolean Functions Related to the Discrete Logarithm in Finite Fields of Characteristic Two.

[BibT_eX]

[DOI]

Proceedings of the Coding and Cryptography, International Workshop, 2005

Interpolation of Functions Related to the Integer Factoring Problem.

[BibT_eX]

[DOI]

Clemens Adelmann

Proceedings of the Coding and Cryptography, International Workshop, 2005

2004

On the linear complexity profile of some new explicit inversive pseudorandom numbers.

[BibT_eX]

[DOI]

J. Complex., 2004

Counting functions and expected values for the lattice profile at n.

[BibT_eX]

[DOI]

Gerhard Dorfer

Finite Fields Their Appl., 2004

On the Distribution of Some New Explicit Nonlinear Congruential Pseudorandom Numbers.

[BibT_eX]

[DOI]

Proceedings of the Sequences and Their Applications, 2004

A Nonuniform Algorithm for the Hidden Number Problem in Subgroups.

[BibT_eX]

[DOI]

Proceedings of the Public Key Cryptography, 2004

2003

On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators.

[BibT_eX]

[DOI]

Jaime Gutierrez

IEEE Trans. Inf. Theory, 2003

On the linear complexity profile of explicit nonlinear pseudorandom numbers.

[BibT_eX]

[DOI]

Inf. Process. Lett., 2003

Interpolation of the Discrete Logarithm in Fq by Boolean Functions and by Polynomials in Several Variables Modulo a Divisor of Q-1.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2003

Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators.

[BibT_eX]

[DOI]

Gerhard Dorfer

Appl. Algebra Eng. Commun. Comput., 2003

On the Autocorrelation of Cyclotomic Generators.

[BibT_eX]

[DOI]

Proceedings of the Finite Fields and Applications, 2003

Interpolation of the Elliptic Curve Diffie-Hellman Mapping.

[BibT_eX]

[DOI]

Proceedings of the Applied Algebra, 2003

2002

Polynomial Interpolation of the Discrete Logarithm.

[BibT_eX]

Des. Codes Cryptogr., 2002

On the hardness of approximating the permanent of structured matrices.

[BibT_eX]

[DOI]

Bruno Codenotti

Comput. Complex., 2002

On the Non-Existence of (g, g\lambda-1;lambda)-Difference matrices.

[BibT_eX]

Ars Comb., 2002

Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2002

A Polynomial Representation of the Diffie-Hellman Mapping.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2002

Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm.

[BibT_eX]

[DOI]

Proceedings of the Computing and Combinatorics, 8th Annual International Conference, 2002

2001

Lower bounds on the linear complexity of the discrete logarithm in finite fields.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2001

On a new class of inversive pseudorandom numbers for parallelized simulation methods.

[BibT_eX]

[DOI]

Period. Math. Hung., 2001

Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions.

[BibT_eX]

[DOI]

Electron. Notes Discret. Math., 2001

Some Estimates for Character Sums and Applications.

[BibT_eX]

Des. Codes Cryptogr., 2001

On the Lattice Structure of Pseudorandom Numbers Generated over Arbitrary Finite Fields.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2001

2000

Factoring polynomials over arbitrary finite fields.

[BibT_eX]

[DOI]