Factoring polynomials over arbitrary finite fields. - Tanja Lange 001; Arne Winterhof (Theor. Comput. Sci., 2000)

On the Lattice Structure of Pseudorandom Numbers Generated over Arbitrary Finite Fields. - Harald Niederreiter; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2001)

Some Estimates for Character Sums and Applications. - Arne Winterhof (Des. Codes Cryptogr., 2001)

Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions. - Tanja Lange 001; Arne Winterhof (Electron. Notes Discret. Math., 2001)

On a new class of inversive pseudorandom numbers for parallelized simulation methods. - Harald Niederreiter; Arne Winterhof (Period. Math. Hung., 2001)

Lower bounds on the linear complexity of the discrete logarithm in finite fields. - Wilfried Meidl; Arne Winterhof (IEEE Trans. Inf. Theory, 2001)

Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm. - Tanja Lange 001; Arne Winterhof (COCOON, 2002)

A Polynomial Representation of the Diffie-Hellman Mapping. - Wilfried Meidl; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2002)

Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers. - Harald Niederreiter; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2002)

On the Non-Existence of (g, g lambda-1;lambda)-Difference matrices. - Arne Winterhof (Ars Comb., 2002)

On the hardness of approximating the permanent of structured matrices. - Bruno Codenotti; Igor E. Shparlinski; Arne Winterhof (Comput. Complex., 2002)

Polynomial Interpolation of the Discrete Logarithm. - Arne Winterhof (Des. Codes Cryptogr., 2002)

Interpolation of the Elliptic Curve Diffie-Hellman Mapping. - Tanja Lange 001; Arne Winterhof (AAECC, 2003)

On the Autocorrelation of Cyclotomic Generators. - Wilfried Meidl; Arne Winterhof (International Conference on Finite Fields and Applications, 2003)

Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators. - Gerhard Dorfer; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2003)

Interpolation of the Discrete Logarithm in Fq by Boolean Functions and by Polynomials in Several Variables Modulo a Divisor of Q-1. - Tanja Lange 001; Arne Winterhof (Discret. Appl. Math., 2003)

On the linear complexity profile of explicit nonlinear pseudorandom numbers. - Wilfried Meidl; Arne Winterhof (Inf. Process. Lett., 2003)

On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators. - Jaime Gutierrez 001; Igor E. Shparlinski; Arne Winterhof (IEEE Trans. Inf. Theory, 2003)

A Nonuniform Algorithm for the Hidden Number Problem in Subgroups. - Igor E. Shparlinski; Arne Winterhof (Public Key Cryptography, 2004)

On the Distribution of Some New Explicit Nonlinear Congruential Pseudorandom Numbers. - Harald Niederreiter; Arne Winterhof (SETA, 2004)

Counting functions and expected values for the lattice profile at n. - Gerhard Dorfer; Wilfried Meidl; Arne Winterhof (Finite Fields Their Appl., 2004)

On the linear complexity profile of some new explicit inversive pseudorandom numbers. - Wilfried Meidl; Arne Winterhof (J. Complex., 2004)

Interpolation of Functions Related to the Integer Factoring Problem. - Clemens Adelmann; Arne Winterhof (WCC, 2005)

On the Non-linearity and Sparsity of Boolean Functions Related to the Discrete Logarithm in Finite Fields of Characteristic Two. - Nina Brandstätter; Tanja Lange 001; Arne Winterhof (WCC, 2005)

Noisy interpolation of sparse polynomials in finite fields. - Igor E. Shparlinski; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2005)

On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders. - Alev Topuzoglu; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2005)

Cyclotomic R-orthomorphisms of finite fields. - Harald Niederreiter; Arne Winterhof (Discret. Math., 2005)

On the linear complexity of bounded integer sequences over different moduli. - Igor E. Shparlinski; Arne Winterhof (Inf. Process. Lett., 2005)

On the joint linear complexity profile of explicit inversive multisequences. - Wilfried Meidl; Arne Winterhof (J. Complex., 2005)

A hidden number problem in small subgroups. - Igor E. Shparlinski; Arne Winterhof (Math. Comput., 2005)

Some notes on the two-prime generator of order 2. - Nina Brandstätter; Arne Winterhof (IEEE Trans. Inf. Theory, 2005)

Quantum Period Reconstruction of Binary Sequences. - Florina Piroi; Arne Winterhof (AAECC, 2006)

Constructions of Approximately Mutually Unbiased Bases. - Igor E. Shparlinski; Arne Winterhof (LATIN, 2006)

On the Discrepancy and Linear Complexity of Some Counter-Dependent Recurrence Sequences. - Igor E. Shparlinski; Arne Winterhof (SETA, 2006)

On the nonlinearity of linear recurrence sequences. - Igor E. Shparlinski; Arne Winterhof (Appl. Math. Lett., 2006)

Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem. - Eike Kiltz; Arne Winterhof (Discret. Appl. Math., 2006)

On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials. - Hassan Aly; Arne Winterhof (Des. Codes Cryptogr., 2006)

On the k-error linear complexity over mathbbFp of Legendre and Sidelnikov sequences. - Hassan Aly; Arne Winterhof (Des. Codes Cryptogr., 2006)

Some Notes on the Linear Complexity of Sidel'nikov-Lempel-Cohn-Eastman Sequences. - Wilfried Meidl; Arne Winterhof (Des. Codes Cryptogr., 2006)

Polynomial representations of the Lucas logarithm. - Hassan Aly; Arne Winterhof (Finite Fields Their Appl., 2006)

Linear complexity profile of binary sequences with small correlation measure. - Nina Brandstätter; Arne Winterhof (Period. Math. Hung., 2006)

On the Lower Bound of the Linear Complexity Over BBF_p of Sidelnikov Sequences. - Moubariz Z. Garaev; Florian Luca; Igor E. Shparlinski; Arne Winterhof (IEEE Trans. Inf. Theory, 2006)

On the Structure of Inversive Pseudorandom Number Generators. - Harald Niederreiter; Arne Winterhof (AAECC, 2007)

On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions. - Wilfried Meidl; Arne Winterhof (Finite Fields Their Appl., 2007)

Quantum period reconstruction of approximate sequences. - Igor E. Shparlinski; Arne Winterhof (Inf. Process. Lett., 2007)

On the k-error linear complexity of cyclotomic sequences. - Hassan Aly; Wilfried Meidl; Arne Winterhof (J. Math. Cryptol., 2007)

On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences. - Ayça Çesmelioglu; Arne Winterhof (SETA, 2008)

Multiplicative Character Sums of Recurring Sequences with Rédei Functions. - Domingo Gómez; Arne Winterhof (SETA, 2008)

Interpolation of the Double Discrete Logarithm. - Gerasimos C. Meletiou; Arne Winterhof (WAIFI, 2008)

Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions. - Jaime Gutierrez 001; Arne Winterhof (Finite Fields Their Appl., 2008)

Exponential sums for nonlinear recurring sequences. - Harald Niederreiter; Arne Winterhof (Finite Fields Their Appl., 2008)

Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields. - Álvar Ibeas; Arne Winterhof (AAECC, 2009)

Measures of pseudorandomness for binary sequences constructed using finite fields. - András Sárközy; Arne Winterhof (Discret. Math., 2009)

-error linear complexity over p of subsequences of Sidelnikov sequences of period (pr - 1)/3. - Nina Brandstätter; Arne Winterhof (J. Math. Cryptol., 2009)

Recent Results on Recursive Nonlinear Pseudorandom Number Generators - (Invited Paper). - Arne Winterhof (SETA, 2010)

Structure of Pseudorandom Numbers Derived from Fermat Quotients. - Zhixiong Chen 002; Alina Ostafe; Arne Winterhof (WAIFI, 2010)

On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. - Alina Ostafe; Igor E. Shparlinski; Arne Winterhof (Adv. Math. Commun., 2010)

Permutations of finite fields for check digit systems. - Rasha Shaheen; Arne Winterhof (Des. Codes Cryptogr., 2010)

On the structure of digital explicit nonlinear and inversive pseudorandom number generators. - Gottlieb Pirsic; Arne Winterhof (J. Complex., 2010)

On the pseudorandomness of binary and quaternary sequences linked by the gray mapping. - Radwa Marzouk; Arne Winterhof (Period. Math. Hung., 2010)

Autocorrelation of Legendre-Sidelnikov sequences. - Ming Su; Arne Winterhof (IEEE Trans. Inf. Theory, 2010)

Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences. - Ming Su; Arne Winterhof (IWSDA, 2011)

Boolean functions derived from Fermat quotients. - Hassan Aly; Arne Winterhof (Cryptogr. Commun., 2011)

Correlation of the two-prime Sidel'nikov sequence. - Nina Brandstätter; Gottlieb Pirsic; Arne Winterhof (Des. Codes Cryptogr., 2011)

Boolean Functions Derived from Pseudorandom Binary Sequences. - Gottlieb Pirsic; Arne Winterhof (SETA, 2012)

Correlation Measure of Order k and Linear Complexity Profile of Legendre-Sidelnikov Sequences. - Ming Su; Arne Winterhof (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2012)

Multiplicative character sums of Fermat quotients and pseudorandom sequences. - Domingo Gómez; Arne Winterhof (Period. Math. Hung., 2012)

Linear complexity of sequences and multisequences. - Wilfried Meidl; Arne Winterhof (Handbook of Finite Fields, 2013)

Some applications of character sums. - Alina Ostafe; Arne Winterhof (Handbook of Finite Fields, 2013)

Finite fields in quantum information theory. - Martin Roetteler; Arne Winterhof (Handbook of Finite Fields, 2013)

Distribution of values of polynomial Fermat quotients. - Igor E. Shparlinski; Arne Winterhof (Finite Fields Their Appl., 2013)

Addendum to Sidel'nikov sequences over nonprime fields. - Nina Brandstätter; Wilfried Meidl; Arne Winterhof (Inf. Process. Lett., 2013)

Some highlights of Harald Niederreiter's work. - Gerhard Larcher; Friedrich Pillichshammer; Arne Winterhof; Chaoping Xing (Applied Algebra and Number Theory, 2014)

On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. - Gottlieb Isabel Pirsic; Arne Winterhof (Des. Codes Cryptogr., 2014)

Two Combinatorial Geometric Problems involving Modular Hyperbolas. - Mizan R. Khan; Richard Magner; Steven Senger; Arne Winterhof (Integers, 2014)

Generalizations of complete mappings of finite fields and some applications. - Arne Winterhof (J. Symb. Comput., 2014)

Interpolation of Fermat Quotients. - Zhixiong Chen 002; Arne Winterhof (SIAM J. Discret. Math., 2014)

Covering Sets for Limited-Magnitude Errors. - Zhixiong Chen 002; Igor E. Shparlinski; Arne Winterhof (IEEE Trans. Inf. Theory, 2014)

Linear complexity profile and correlation measure of interleaved sequences. - Jing Jane He; Daniel Panario; Qiang Wang 012; Arne Winterhof (Cryptogr. Commun., 2015)

Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences. - Richard Hofer; Arne Winterhof (WAIFI, 2016)

On the linear complexity profile of some sequences derived from elliptic curves. - László Mérai; Arne Winterhof (Des. Codes Cryptogr., 2016)

On the arithmetic autocorrelation of the Legendre sequence. - Richard Hofer; Arne Winterhof (Adv. Math. Commun., 2017)

Expansion complexity and linear complexity of sequences over finite fields. - László Mérai; Harald Niederreiter; Arne Winterhof (Cryptogr. Commun., 2017)

Maximum-Order Complexity and Correlation Measures. - Leyla Isik; Arne Winterhof (Cryptogr., 2017)

Complete mappings and Carlitz rank. - Leyla Isik; Alev Topuzoglu; Arne Winterhof (Des. Codes Cryptogr., 2017)

On the pseudorandomness of quaternary sequences derived from sequences over ( mathbb F_4 ). - Ming Su; Arne Winterhof (Period. Math. Hung., 2017)

Hamming correlation of higher order. - Ming Su; Arne Winterhof (Adv. Math. Commun., 2018)

On the pseudorandomness of automatic sequences. - László Mérai; Arne Winterhof (Cryptogr. Commun., 2018)

Carlitz rank and index of permutation polynomials. - Leyla Isik; Arne Winterhof (Finite Fields Their Appl., 2018)

Packing Sets over Finite Abelian Groups. - Oliver Roche-Newton; Ilya D. Shkredov; Arne Winterhof (Integers, 2018)

Editorial. - Evelyn Buckwar; Peter Kritzer; Gunther Leobacher; Friedrich Pillichshammer; Arne Winterhof (Math. Comput. Simul., 2018)

Non-existence of Some Nearly Perfect Sequences, Near Butson-Hadamard Matrices, and Near Conference Matrices. - Arne Winterhof; Oguz Yayla; Volker Ziegler (Math. Comput. Sci., 2018)

On the 2-Adic Complexity of the Two-Prime Generator. - Richard Hofer; Arne Winterhof (IEEE Trans. Inf. Theory, 2018)

r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. - Richard Hofer; Arne Winterhof (Cryptogr. Commun., 2019)

Codes correcting restricted errors. - Igor E. Shparlinski; Arne Winterhof (Des. Codes Cryptogr., 2019)

Conical Kakeya and Nikodym sets in finite fields. - Audie Warren; Arne Winterhof (Finite Fields Their Appl., 2019)

On the maximum order complexity of subsequences of the Thue-Morse and Rudin-Shapiro sequence along squares. - Zhimin Sun; Arne Winterhof (Int. J. Comput. Math. Comput. Syst. Theory, 2019)

The Spherical Kakeya Problem in Finite Fields. - Mehdi Makhul; Audie Warren; Arne Winterhof (SIAM J. Discret. Math., 2020)

A Note on Hall's Sextic Residue Sequence: Correlation Measure of Order $k$ and Related Measures of Pseudorandomness. - Hassan Aly; Arne Winterhof (IEEE Trans. Inf. Theory, 2020)

A Note on the Cross-Correlation of Costas Permutations. - Domingo Gómez-Pérez; Arne Winterhof (IEEE Trans. Inf. Theory, 2020)

Binary Sequences Derived From Differences of Consecutive Primitive Roots. - Arne Winterhof; Zibi Xiao (IEEE Trans. Inf. Theory, 2021)

On the index of the Diffie-Hellman mapping. - Leyla Isik; Arne Winterhof (Appl. Algebra Eng. Commun. Comput., 2022)

Binary sequences derived from differences of consecutive quadratic residues. - Arne Winterhof; Zibi Xiao (Adv. Math. Commun., 2022)

Pseudorandom sequences derived from automatic sequences. - László Mérai; Arne Winterhof (Cryptogr. Commun., 2022)

Arithmetic Crosscorrelation of Pseudorandom Binary Sequences of Coprime Periods. - Zhixiong Chen 002; Zhihua Niu; Arne Winterhof (IEEE Trans. Inf. Theory, 2022)

Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions. - Arne Winterhof (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2023)

Primitive elements of finite fields Fqr avoiding affine hyperplanes for q = 4 and q = 5. - Philipp A. Grzywaczyk; Arne Winterhof (Finite Fields Their Appl., 2024)

Maximum-Order Complexity and 2-Adic Complexity. - Zhiru Chen; Zhixiong Chen 002; Jakob Obrovsky; Arne Winterhof (IEEE Trans. Inf. Theory, 2024)

On the Cross-Correlation of Golomb Costas Permutations. - Huaning Liu; Arne Winterhof (IEEE Trans. Inf. Theory, 2024)

On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers. - Zhixiong Chen 002; Arne Winterhof (Discret. Appl. Math., 2025)

Quaternary Legendre pairs II. - Ilias S. Kotsireas; Christoph Koutschan; Arne Winterhof (Discret. Math., 2025)

New estimates for character sums over sparse elements of finite fields. - Kaimin Cheng; Arne Winterhof (CoRR, 2025)

On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers. - Zhixiong Chen; Arne Winterhof (CoRR, 2025)

Probabilistic results on the 2-adic complexity. - Zhixiong Chen; Arne Winterhof (Des. Codes Cryptogr., 2025)

Some notes on the pseudorandomness of Legendre symbol and Liouville function. - Johannes Grünberger; Arne Winterhof (Cryptogr. Commun., 2025)