Arne Winterhof

130 papers B 1C 11Misc 1Journal 101Unranked 9
YearRankTypeTitle / Venue / Authors
2026 J jnl
Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields.
Finite Fields Their Appl.
Kaimin Cheng, Arne Winterhof
2025 J jnl
New estimates for character sums over sparse elements of finite fields.
CoRR
Kaimin Cheng, Arne Winterhof
2025 J jnl
On the
CoRR
Zhixiong Chen, Arne Winterhof
2025 J jnl
On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers.
Discret. Appl. Math.
Zhixiong Chen, Arne Winterhof
2025 J jnl
Probabilistic results on the 2-adic complexity.
Des. Codes Cryptogr.
Zhixiong Chen, Arne Winterhof
2025 J jnl
Quaternary Legendre pairs II.
Discret. Math.
Ilias S. Kotsireas, Christoph Koutschan, Arne Winterhof
2025 J jnl
Some notes on the pseudorandomness of Legendre symbol and Liouville function.
Cryptogr. Commun.
Johannes Grünberger, Arne Winterhof
2024 J jnl
Maximum-Order Complexity and 2-Adic Complexity.
IEEE Trans. Inf. Theory
Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof
2024 J jnl
On the Cross-Correlation of Golomb Costas Permutations.
IEEE Trans. Inf. Theory
Huaning Liu, Arne Winterhof
2024 J jnl
Primitive elements of finite fields Fqr avoiding affine hyperplanes for q = 4 and q = 5.
Finite Fields Their Appl.
Philipp A. Grzywaczyk, Arne Winterhof
2024 J jnl
Some notes on the pseudorandomness of Legendre symbol and Liouville function.
CoRR
Johannes Grünberger, Arne Winterhof
2023 J jnl
Maximum-order complexity and 2-adic complexity.
CoRR
Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof
2023 J jnl
Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci.
Arne Winterhof
2022 J jnl
Arithmetic Crosscorrelation of Pseudorandom Binary Sequences of Coprime Periods.
IEEE Trans. Inf. Theory
Zhixiong Chen, Zhihua Niu, Arne Winterhof
2022 J jnl
Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods.
CoRR
Zhixiong Chen, Zhihua Niu, Arne Winterhof
2022 J jnl
Binary sequences derived from differences of consecutive quadratic residues.
Adv. Math. Commun.
Arne Winterhof, Zibi Xiao
2022 J jnl
On the index of the Diffie-Hellman mapping.
Appl. Algebra Eng. Commun. Comput.
Leyla Isik, Arne Winterhof
2022 J jnl
Pseudorandom sequences derived from automatic sequences.
Cryptogr. Commun.
László Mérai, Arne Winterhof
2021 J jnl
Binary Sequences Derived From Differences of Consecutive Primitive Roots.
IEEE Trans. Inf. Theory
Arne Winterhof, Zibi Xiao
2021 J jnl
Pseudorandom sequences derived from automatic sequences.
CoRR
László Mérai, Arne Winterhof
2020 J jnl
A Note on Hall's Sextic Residue Sequence: Correlation Measure of Order $k$ and Related Measures of Pseudorandomness.
IEEE Trans. Inf. Theory
Hassan Aly, Arne Winterhof
2020 J jnl
A Note on the Cross-Correlation of Costas Permutations.
CoRR
Domingo Gómez-Pérez, Arne Winterhof
2020 J jnl
A Note on the Cross-Correlation of Costas Permutations.
IEEE Trans. Inf. Theory
Domingo Gómez-Pérez, Arne Winterhof
2020 J jnl
Binary sequences derived from differences of consecutive quadratic residues.
CoRR
Arne Winterhof, Zibi Xiao
2020 J jnl
The Spherical Kakeya Problem in Finite Fields.
SIAM J. Discret. Math.
Mehdi Makhul, Audie Warren, Arne Winterhof
2019 J jnl
Codes correcting restricted errors.
Des. Codes Cryptogr.
Igor E. Shparlinski, Arne Winterhof
2019 J jnl
Conical Kakeya and Nikodym sets in finite fields.
Finite Fields Their Appl.
Audie Warren, Arne Winterhof
2019 J jnl
On the maximum order complexity of subsequences of the Thue-Morse and Rudin-Shapiro sequence along squares.
Int. J. Comput. Math. Comput. Syst. Theory
Zhimin Sun, Arne Winterhof
2019 J jnl
r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm.
Cryptogr. Commun.
Richard Hofer, Arne Winterhof
2018 J jnl
Carlitz rank and index of permutation polynomials.
Finite Fields Their Appl.
Leyla Isik, Arne Winterhof
2018 J jnl
Codes correcting restricted errors.
CoRR
Igor E. Shparlinski, Arne Winterhof
2018 J jnl
Editorial.
Math. Comput. Simul.
Evelyn Buckwar, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer, Arne Winterhof
2018 J jnl
Hamming correlation of higher order.
Adv. Math. Commun.
Ming Su, Arne Winterhof
2018 J jnl
Non-existence of Some Nearly Perfect Sequences, Near Butson-Hadamard Matrices, and Near Conference Matrices.
Math. Comput. Sci.
Arne Winterhof, Oguz Yayla, Volker Ziegler
2018 J jnl
On the 2-Adic Complexity of the Two-Prime Generator.
IEEE Trans. Inf. Theory
Richard Hofer, Arne Winterhof
2018 J jnl
On the pseudorandomness of automatic sequences.
Cryptogr. Commun.
László Mérai, Arne Winterhof
2018 J jnl
Packing Sets over Finite Abelian Groups.
Integers
Oliver Roche-Newton, Ilya D. Shkredov, Arne Winterhof
2017 J jnl
Complete mappings and Carlitz rank.
Des. Codes Cryptogr.
Leyla Isik, Alev Topuzoglu, Arne Winterhof
2017 J jnl
Expansion complexity and linear complexity of sequences over finite fields.
Cryptogr. Commun.
László Mérai, Harald Niederreiter, Arne Winterhof
2017 J jnl
Maximum-Order Complexity and Correlation Measures.
Cryptogr.
Leyla Isik, Arne Winterhof
2017 J jnl
On the arithmetic autocorrelation of the Legendre sequence.
Adv. Math. Commun.
Richard Hofer, Arne Winterhof
2017 J jnl
On the pseudorandomness of quaternary sequences derived from sequences over \(\mathbb F_4\).
Period. Math. Hung.
Ming Su, Arne Winterhof
2016 C conf
Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences.
WAIFI
Richard Hofer, Arne Winterhof
2016 J jnl
On the linear complexity profile of some sequences derived from elliptic curves.
Des. Codes Cryptogr.
László Mérai, Arne Winterhof
2015 J jnl
Linear complexity profile and correlation measure of interleaved sequences.
Cryptogr. Commun.
Jing Jane He, Daniel Panario, Qiang Wang, Arne Winterhof
2014 — book
Applied Algebra and Number Theory
Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing
2014 J jnl
Covering Sets for Limited-Magnitude Errors.
IEEE Trans. Inf. Theory
Zhixiong Chen, Igor E. Shparlinski, Arne Winterhof
2014 J jnl
Generalizations of complete mappings of finite fields and some applications.
J. Symb. Comput.
Arne Winterhof
2014 J jnl
Interpolation of Fermat Quotients.
SIAM J. Discret. Math.
Zhixiong Chen, Arne Winterhof
2014 J jnl
On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences.
Des. Codes Cryptogr.
Gottlieb Isabel Pirsic, Arne Winterhof
2014 C ed.
Sequences and Their Applications - SETA 2014 - 8th International Conference, Melbourne, VIC, Australia, November 24-28, 2014, Proceedings
SETA
Kai-Uwe Schmidt, Arne Winterhof
2014 — ch.
Some highlights of Harald Niederreiter's work.
Applied Algebra and Number Theory
Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing
2014 J jnl
Two Combinatorial Geometric Problems involving Modular Hyperbolas.
Integers
Mizan R. Khan, Richard Magner, Steven Senger, Arne Winterhof
2014 — book
Uniform Distribution and Quasi-Monte Carlo Methods - Discrepancy, Integration and Applications
Uniform Distribution and Quasi-Monte Carlo Methods
Peter Kritzer, Harald Niederreiter, Friedrich Pillichshammer, Arne Winterhof
2013 J jnl
Addendum to Sidel'nikov sequences over nonprime fields.
Inf. Process. Lett.
Nina Brandstätter, Wilfried Meidl, Arne Winterhof
2013 J jnl
Covering sets for limited-magnitude errors.
CoRR
Zhixiong Chen, Igor E. Shparlinski, Arne Winterhof
2013 J jnl
Distribution of values of polynomial Fermat quotients.
Finite Fields Their Appl.
Igor E. Shparlinski, Arne Winterhof
2013 — book
Finite Fields and Their Applications - Character Sums and Polynomials.
Finite Fields and Their Applications
Pascale Charpin, Alexander Pott, Arne Winterhof
2013 — ch.
Finite fields in quantum information theory.
Handbook of Finite Fields
Martin Roetteler, Arne Winterhof
2013 — ch.
Linear complexity of sequences and multisequences.
Handbook of Finite Fields
Wilfried Meidl, Arne Winterhof
2013 — ch.
Some applications of character sums.
Handbook of Finite Fields
Alina Ostafe, Arne Winterhof
2012 C conf
Boolean Functions Derived from Pseudorandom Binary Sequences.
SETA
Gottlieb Pirsic, Arne Winterhof
2012 J jnl
Correlation Measure of Order
IEICE Trans. Fundam. Electron. Commun. Comput. Sci.
Ming Su, Arne Winterhof
2012 J jnl
Multiplicative character sums of Fermat quotients and pseudorandom sequences.
Period. Math. Hung.
Domingo Gómez, Arne Winterhof
2011 J jnl
Boolean functions derived from Fermat quotients.
Cryptogr. Commun.
Hassan Aly, Arne Winterhof
2011 — conf
Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences.
IWSDA
Ming Su, Arne Winterhof
2011 J jnl
Correlation of the two-prime Sidel'nikov sequence.
Des. Codes Cryptogr.
Nina Brandstätter, Gottlieb Pirsic, Arne Winterhof
2010 J jnl
Autocorrelation of Legendre-Sidelnikov sequences.
IEEE Trans. Inf. Theory
Ming Su, Arne Winterhof
2010 J jnl
On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences.
Adv. Math. Commun.
Alina Ostafe, Igor E. Shparlinski, Arne Winterhof
2010 J jnl
On the pseudorandomness of binary and quaternary sequences linked by the gray mapping.
Period. Math. Hung.
Radwa Marzouk, Arne Winterhof
2010 J jnl
On the structure of digital explicit nonlinear and inversive pseudorandom number generators.
J. Complex.
Gottlieb Pirsic, Arne Winterhof
2010 J jnl
Permutations of finite fields for check digit systems.
Des. Codes Cryptogr.
Rasha Shaheen, Arne Winterhof
2010 C conf
Recent Results on Recursive Nonlinear Pseudorandom Number Generators - (Invited Paper).
SETA
Arne Winterhof
2010 C conf
Structure of Pseudorandom Numbers Derived from Fermat Quotients.
WAIFI
Zhixiong Chen, Alina Ostafe, Arne Winterhof
2009 J jnl
-error linear complexity over p of subsequences of Sidelnikov sequences of period (pr - 1)/3.
J. Math. Cryptol.
Nina Brandstätter, Arne Winterhof
2009 J jnl
Measures of pseudorandomness for binary sequences constructed using finite fields.
Discret. Math.
András Sárközy, Arne Winterhof
2009 — conf
Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields.
AAECC
Álvar Ibeas, Arne Winterhof
2008 J jnl
Exponential sums for nonlinear recurring sequences.
Finite Fields Their Appl.
Harald Niederreiter, Arne Winterhof
2008 J jnl
Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions.
Finite Fields Their Appl.
Jaime Gutierrez, Arne Winterhof
2008 C conf
Interpolation of the Double Discrete Logarithm.
WAIFI
Gerasimos C. Meletiou, Arne Winterhof
2008 C conf
Multiplicative Character Sums of Recurring Sequences with Rédei Functions.
SETA
Domingo Gómez, Arne Winterhof
2008 C conf
On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences.
SETA
Ayça Çesmelioglu, Arne Winterhof
2008 C ed.
Sequences and Their Applications - SETA 2008, 5th International Conference, Lexington, KY, USA, September 14-18, 2008, Proceedings
SETA
Solomon W. Golomb, Matthew Geoffrey Parker, Alexander Pott, Arne Winterhof
2007 — conf
On the Structure of Inversive Pseudorandom Number Generators.
AAECC
Harald Niederreiter, Arne Winterhof
2007 J jnl
On the k-error linear complexity of cyclotomic sequences.
J. Math. Cryptol.
Hassan Aly, Wilfried Meidl, Arne Winterhof
2007 J jnl
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions.
Finite Fields Their Appl.
Wilfried Meidl, Arne Winterhof
2007 J jnl
Quantum period reconstruction of approximate sequences.
Inf. Process. Lett.
Igor E. Shparlinski, Arne Winterhof
2006 B conf
Constructions of Approximately Mutually Unbiased Bases.
LATIN
Igor E. Shparlinski, Arne Winterhof
2006 J jnl
Linear complexity profile of binary sequences with small correlation measure.
Period. Math. Hung.
Nina Brandstätter, Arne Winterhof
2006 J jnl
On the
Des. Codes Cryptogr.
Hassan Aly, Arne Winterhof
2006 C conf
On the Discrepancy and Linear Complexity of Some Counter-Dependent Recurrence Sequences.
SETA
Igor E. Shparlinski, Arne Winterhof
2006 J jnl
On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials.
Des. Codes Cryptogr.
Hassan Aly, Arne Winterhof
2006 J jnl
On the Lower Bound of the Linear Complexity Over BBF_p of Sidelnikov Sequences.
IEEE Trans. Inf. Theory
Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski, Arne Winterhof
2006 J jnl
On the nonlinearity of linear recurrence sequences.
Appl. Math. Lett.
Igor E. Shparlinski, Arne Winterhof
2006 J jnl
Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem.
Discret. Appl. Math.
Eike Kiltz, Arne Winterhof
2006 J jnl
Polynomial representations of the Lucas logarithm.
Finite Fields Their Appl.
Hassan Aly, Arne Winterhof
2006 — conf
Quantum Period Reconstruction of Binary Sequences.
AAECC
Florina Piroi, Arne Winterhof
2006 J jnl
Some Notes on the Linear Complexity of Sidel'nikov-Lempel-Cohn-Eastman Sequences.
Des. Codes Cryptogr.
Wilfried Meidl, Arne Winterhof
2005 J jnl
A hidden number problem in small subgroups.
Math. Comput.
Igor E. Shparlinski, Arne Winterhof
2005 J jnl
Cyclotomic R-orthomorphisms of finite fields.
Discret. Math.
Harald Niederreiter, Arne Winterhof
2005 — conf
Interpolation of Functions Related to the Integer Factoring Problem.
WCC
Clemens Adelmann, Arne Winterhof
2005 J jnl
Noisy interpolation of sparse polynomials in finite fields.
Appl. Algebra Eng. Commun. Comput.
Igor E. Shparlinski, Arne Winterhof
2005 — conf
On the Non-linearity and Sparsity of Boolean Functions Related to the Discrete Logarithm in Finite Fields of Characteristic Two.
WCC
Nina Brandstätter, Tanja Lange, Arne Winterhof
2005 J jnl
On the joint linear complexity profile of explicit inversive multisequences.
J. Complex.
Wilfried Meidl, Arne Winterhof
2005 J jnl
On the linear complexity of bounded integer sequences over different moduli.
Inf. Process. Lett.
Igor E. Shparlinski, Arne Winterhof
2005 J jnl
On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders.
Appl. Algebra Eng. Commun. Comput.
Alev Topuzoglu, Arne Winterhof
2005 J jnl
Some notes on the two-prime generator of order 2.
IEEE Trans. Inf. Theory
Nina Brandstätter, Arne Winterhof
2004 — conf
A Nonuniform Algorithm for the Hidden Number Problem in Subgroups.
Public Key Cryptography
Igor E. Shparlinski, Arne Winterhof
2004 J jnl
Counting functions and expected values for the lattice profile at n.
Finite Fields Their Appl.
Gerhard Dorfer, Wilfried Meidl, Arne Winterhof
2004 C conf
On the Distribution of Some New Explicit Nonlinear Congruential Pseudorandom Numbers.
SETA
Harald Niederreiter, Arne Winterhof
2004 J jnl
On the linear complexity profile of some new explicit inversive pseudorandom numbers.
J. Complex.
Wilfried Meidl, Arne Winterhof
2003 J jnl
Hidden Number Problem in Small Subgroups.
IACR Cryptol. ePrint Arch.
Igor E. Shparlinski, Arne Winterhof
2003 J jnl
Interpolation of the Discrete Logarithm in F
Discret. Appl. Math.
Tanja Lange, Arne Winterhof
2003 — conf
Interpolation of the Elliptic Curve Diffie-Hellman Mapping.
AAECC
Tanja Lange, Arne Winterhof
2003 J jnl
Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators.
Appl. Algebra Eng. Commun. Comput.
Gerhard Dorfer, Arne Winterhof
2003 — conf
On the Autocorrelation of Cyclotomic Generators.
International Conference on Finite Fields and Applications
Wilfried Meidl, Arne Winterhof
2003 J jnl
On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators.
IEEE Trans. Inf. Theory
Jaime Gutierrez, Igor E. Shparlinski, Arne Winterhof
2003 J jnl
On the linear complexity profile of explicit nonlinear pseudorandom numbers.
Inf. Process. Lett.
Wilfried Meidl, Arne Winterhof
2002 J jnl
A Polynomial Representation of the Diffie-Hellman Mapping.
Appl. Algebra Eng. Commun. Comput.
Wilfried Meidl, Arne Winterhof
2002 J jnl
Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers.
Appl. Algebra Eng. Commun. Comput.
Harald Niederreiter, Arne Winterhof
2002 J jnl
On the Non-Existence of (g, g\lambda-1;lambda)-Difference matrices.
Ars Comb.
Arne Winterhof
2002 J jnl
On the hardness of approximating the permanent of structured matrices.
Comput. Complex.
Bruno Codenotti, Igor E. Shparlinski, Arne Winterhof
2002 J jnl
Polynomial Interpolation of the Discrete Logarithm.
Des. Codes Cryptogr.
Arne Winterhof
2002 Misc conf
Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm.
COCOON
Tanja Lange, Arne Winterhof
2001 J jnl
Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions.
Electron. Notes Discret. Math.
Tanja Lange, Arne Winterhof
2001 J jnl
Lower bounds on the linear complexity of the discrete logarithm in finite fields.
IEEE Trans. Inf. Theory
Wilfried Meidl, Arne Winterhof
2001 J jnl
On a new class of inversive pseudorandom numbers for parallelized simulation methods.
Period. Math. Hung.
Harald Niederreiter, Arne Winterhof
2001 J jnl
On the Lattice Structure of Pseudorandom Numbers Generated over Arbitrary Finite Fields.
Appl. Algebra Eng. Commun. Comput.
Harald Niederreiter, Arne Winterhof
2001 J jnl
Some Estimates for Character Sums and Applications.
Des. Codes Cryptogr.
Arne Winterhof
2000 J jnl
Factoring polynomials over arbitrary finite fields.
Theor. Comput. Sci.
Tanja Lange, Arne Winterhof