Arne Winterhof

Univ.-Doz. Dr.

Arne Winterhof

Univ.-Doz. Dr.

Project Leader, Senior Research Scientist

Applied Discrete Mathematics and Cryptography

+43 732 2468 5225
Arne.Winterhof(at)oeaw.ac.at

Biographical sketch

1989-1994: Studies in mathematics and computer sciences, Technical University of Braunschweig
1994: Diploma in mathematics, Technical University of Braunschweig, summa cum laude
1996: Ph.D. in mathematics, Technical University of Braunschweig, summa cum laude
2001: Postdoctoral lecture qualification (Habilitation), University of Vienna
2002-2005: Project leader of the FWF project S8313 'Number Theoretic Methods in Cryptography and Pseudorandom Number Generation'
2004: Edmund and Rosa Hlawka Prize for Discrete Mathematics and Theoretical Computer Science
2006-2009: Project leader of the FWF project P19004-N18 'Pseudorandom Sequences'
2010: Advancement Award of the Austrian Mathematical Society
2014-2018: Project leader of the FWF project F5511-N26 'On the Hierarchy of Measures of Pseudorandomness'
2016: Call to a Full Professorship (W3) for 'Discrete Mathematics', University of Rostock (declined)
2017-2021: Project leader of the FWF project P30405 'Additive Combinatorics over Finite Fields and Applications'
2025-2027: Project leader of the FWF project PAT4719224 'Generalized Cyclotomic Mappings of Finite Fields'

Former and Current Positions

1995-1999: Research and teaching assistant, Institute of Algebra and Number Theory, Technical University of Braunschweig, Germany
1999-2002: Researcher, Institute of Discrete Mathematics, Austrian Academy of Sciences, Vienna, Austria
2002-2003: Research Scientist, Temasek Laboratories, National University of Singapore
2003-2009: Senior Scientist at RICAM
Since 2009: Senior Fellow at RICAM

Memberships in Editorial Board

Journal of Uniform Distribution Theory (since 2014)
Advances in Mathematics of Communications (since 2019)
Cryptography and Communications: Discrete Structures, Boolean Functions and Sequence (CCDS) (since 2020)
Finite Fields and Their Applications (2005-2024)
Designs, Codes, and Cryptography (2011-2024)
Cryptography (2016-2020)
Turkish Journal of Mathematics (2019-2020)
International Journal of Computer Mathematics: Computer Systems Theory (2014-2019)

Research interests

Finite Fields, Number Theory, Coding Theory, Pseudorandom Numbers, Cryptology, Combinatorics

Publications

Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields. / Cheng, K; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 111, Nr. 111, 102767, 03.2026.
DOI RIS ENW BIB
On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers. / Chen, Zhixiong; Winterhof, Arne.
in: Discrete Applied Mathematics, Jahrgang 373, 15.10.2025, S. 279-289.
DOI RIS ENW BIB
Probabilistic results on the 2-adic complexity. / Chen, Z; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 2025, Nr. 93 (6), 10.02.2025, S. 2191--2203.
DOI RIS ENW BIB
Some notes on the pseudorandomness of Legendre symbol and Liouville function. / Grünberger, J; Winterhof, A.
in: Cryptography and Communications, Jahrgang 2025, Nr. 17, 06.02.2025, S. 777--792.
DOI RIS ENW BIB
Quaternary Legendre pairs II. / Kotsireas, Ilias S.; Koutschan, Christoph; Winterhof, Arne.
in: Discrete Mathematics, Jahrgang 348, Nr. 9, 114501, 2025.
DOI RIS ENW BIB
On the cross-correlation of Golomb Costas permutations. / Liu, H; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 70, Nr. 11, 12.09.2024, S. 7848--7852.
DOI RIS ENW BIB
Maximum-order complexity and 2-adic complexity. / Chen, Z; Obrovsky, J; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 70, Nr. 8, 18.07.2024, S. 6060-6067.
DOI RIS ENW BIB
Primitive elements of finite fields F_q^r avoiding affine hyperplanes for q=4 and q=5. / Grzywaczyk, P; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 96, 26.03.2024, S. Paper No. 102416.
DOI RIS ENW BIB
Character sums over sparse elements of finite fields. / Merai, L; Shparlinski, I; Winterhof, A.
in: Bulletin of the London Mathematical Society, Jahrgang 56, Nr. 4, 27.02.2024, S. 1488--1510.
DOI RIS ENW BIB
Pseudorandom binary sequences: quality measures and number theoretic constructions. / Winterhof, A.
in: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Jahrgang E106-A, Nr. 12, 04.12.2023, S. 1452--1460.
DOI RIS ENW BIB
Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods. / Chen, Z; Niu, Z; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 68, Nr. 11, 01.11.2022, S. 7538--7544.
DOI RIS ENW BIB
On the index of the Diffie-Hellman mapping. / Isik, L; Winterhof, A.
in: Applicable Algebra in Engineering, Communications and Computing, Jahrgang 33, Nr. 5, 14.10.2022, S. 587--595.
DOI RIS ENW BIB
Normality of the Thue-Morse function for finite fields along polynomial values. / Makhul, M; Winterhof, A.
in: Research in Number Theory, Jahrgang 8, Nr. 38, 13.06.2022, S. 17.
DOI RIS ENW BIB
Pseudorandom sequences derived from automatic sequences. / Merai, L; Winterhof, A.
in: Cryptography and Communications, Jahrgang 14, Nr. 4, 19.04.2022, S. 783--815.
DOI RIS ENW BIB
Sequences of the parities of differences of consecutive quadratic residues. / Winterhof, A; Xiao, Z.
in: Advances in Mathematics of Communications, Jahrgang 16, Nr. 1, 10.01.2022, S. 83--93.
DOI RIS ENW BIB
Balance and pattern distribution of sequences derived from pseudorandom subsets of Z_q. / Liu, H; Winterhof, A.
in: Uniform Distribution Theory, Jahrgang 16, Nr. 2, 10.11.2021, S. 89--108.
DOI RIS ENW BIB
Additive double character sums over some structured sets and applications. / Swaenepoel, C; Winterhof, A.
in: Acta Arithmetica, Jahrgang 199, Nr. 2, 14.09.2021, S. 135--143.
DOI RIS ENW BIB
Binary Sequences Derived From Differences of Consecutive Primitive Roots. / Winterhof, A; Xiao, Z.
in: IEEE Transactions on Information Theory, Jahrgang 67, Nr. 8, 15.08.2021, S. 5334--5338.
DOI RIS ENW BIB
On the distribution of the Rudin-Shapiro function for finite fields. / Dartyge, C; Merai, L; Winterhof, A.
in: Proceedings of the American Mathematical Society, Jahrgang 149, Nr. 12, 12.05.2021, S. 5013--5023.
DOI RIS ENW BIB
The spherical Kakeya problem in finite fields. / Makhul, M; Warren, A; Winterhof, A.
in: SIAM Journal on Discrete Mathematics, Jahrgang 34, Nr. 4, 10.12.2020, S. 2502--2509.
DOI RIS ENW BIB
A note on the cross-correlation of Costas permutations. / Gomez, D; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 66, Nr. 12, 25.11.2020, S. 7724--7727.
DOI RIS ENW BIB
A note on Hall's sextic residue sequence: correlation measure of order k and related measures of pseudorandomness. / Aly, H; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 66, Nr. 3, 21.02.2020, S. 1944--1947.
DOI RIS ENW BIB
r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. / Hofer, R; Winterhof, A.
in: Cryptography and Communications, Jahrgang 11, Nr. 5, 09.09.2019, S. 993--997.
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On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence. / Sun, Z; Winterhof, A.
in: Uniform Distribution Theory, Jahrgang 14, Nr. 2, 28.06.2019, S. 33--42.
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Conical Kakeya and Nikodym sets in finite fields. / Warren, A; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 59, 04.06.2019, S. 185--198.
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On the maximum order complexity of subsequences of the Thue-Morse sequence and Rudin-Shapiro sequence along squares. / Sun, Z; Winterhof, A.
in: International Journal of Computer Mathematics: Computer Systems Theory, Jahrgang 4, Nr. 1, 02.04.2019, S. 30-36.
DOI RIS ENW BIB
Codes correcting restricted errors. / Shparlinski, I; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 87, Nr. 4, 02.04.2019, S. 855-863.
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Analogues of the Balog--Wooley decomposition for subsets of finite fields and character sums with convolutions. / Roche-Newton, O; Shparlinski, I.E; Winterhof, A.
in: Annals of Combinatorics, Jahrgang 23, Nr. 1, 02.04.2019, S. 183-205.
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Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices. / Winterhof, A; Yayla, O; Ziegler, V.
in: Mathematics in Computer Science, Jahrgang 12, 11.12.2018, S. 465-471.
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On the 2-adic complexity of the two-prime generator. / Hofer, R; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 64, Nr. 8, 20.09.2018, S. 5957--5960.
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On the pseudorandomness of some automatic sequences. / Merai, L; Winterhof, A.
in: Cryptography and Communications, Jahrgang 10, Nr. 6, 29.08.2018, S. 1013--1022.
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Packing sets over finite abelian groups. / Roche-Newton, O; Shkredov, I; Winterhof, A.
in: Integers, Jahrgang 18, Nr. Paper No. A38, 15.06.2018, S. 9 pp.
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Hamming correlation of higher order. / Su, M; Winterhof, A.
in: Advances in Mathematics of Communications, Jahrgang 12, Nr. 3, 26.03.2018, S. 505--513.
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On the Nth linear complexity of automatic sequences. / Merai, L; Winterhof, A.
in: Journal of Number Theory, Jahrgang 187, 09.03.2018, S. 415-429.
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Carlitz rank and index of permutation polynomials. / Isik, L; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 49, 01.01.2018, S. 156-165.
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Linear complexity and expansion complexity of some number theoretic sequences. / Hofer, R; Winterhof, A.
in: Lecture Notes in Computer Science, Jahrgang 10064, 17.08.2017, S. 67-74.
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Complete mappings and Carlitz rank. / Isik, L; Topuzoglu, A; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 85, 08.08.2017, S. 121-128.
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Digital inversive vectors can achieve strong polynomial tractability for the weighted star discrepancy and for multivariate integration. / Dick, J; Gomez, D; Pillichshammer, F et al.
in: Proceedings of the American Mathematical Society, Jahrgang 145, Nr. 8, 17.05.2017, S. 3297-3310.
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Maximum-order complexity and correlation measures. / Isik, L; Winterhof, A.
in: Cryptography, Jahrgang 1, Nr. 1, 16.05.2017, S. 1-7.
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Expansion complexity and linear complexity of sequences over finite fields. / Merai, L; Niederreiter, H; Winterhof, A.
in: Cryptography and Communications, Jahrgang 9, Nr. 4, 31.03.2017, S. 501-509.
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On the pseudorandomness of quaternary sequences derived from sequences over F_4. / Su, M; Winterhof, A.
in: Periodica Mathematica Hungarica, Jahrgang 74, Nr. 1, 22.03.2017, S. 79-87.
DOI RIS ENW BIB
On the arithmetic autocorrelation of the Legendre sequence. / Hofer, R; Winterhof, A.
in: Advances in Mathematics of Communications, Jahrgang 11, Nr. 1, 22.03.2017, S. 237-244.
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On the linear complexity profile of some sequences derived from elliptic curves. / Merai, L; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 81, 16.08.2016, S. 259-267.
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Family complexity and cross-correlation measure for families of binary sequences. / Winterhof, A; Yayla, O.
in: Ramanujan Journal, Jahrgang 39, Nr. 3, 22.03.2016, S. 639-645.
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On the pseudorandomness of the Liouville function of polynomials over a finite field. / Merai, L; Winterhof, A.
in: Uniform Distribution Theory, Jahrgang 11, Nr. 1, 03.03.2016, S. 47-58.
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Polynomial quotients: Interpolation, value sets and Waring's problem. / Chen, Z; Winterhof, A.
in: Acta Arithmetica, Jahrgang 170, 01.01.2015, S. 121-134.
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Linear complexity profile and correlation measure of interleaved sequences. / He, J; Panario, D; Wang, Q et al.
in: Cryptography and Communications, Jahrgang 7, 01.01.2015, S. 497-508.
DOI RIS ENW BIB
The FWF-Special Research Area "Quasi-Monte Carlo Methods: Theory and Applications". / Larcher, G; Drmota, M; Grabner, P et al.
in: Internationale Mathematische Nachrichten, Jahrgang 226, 17.06.2014, S. 1-19.
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Notes on covering sets for limited magnitude errors. / Chen, Z; Shparlinski, I; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 60, 13.02.2014, S. 5315-5321.
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Two combinatorial geometric problems involving modular hyperbolas. / Khan, M; Magner, R; Senger, S et al.
in: Integers, Jahrgang 14, 13.02.2014, S. #A33, 21pp.
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Interpolation of Fermat quotients. / Chen, Z; Winterhof, A.
in: SIAM Journal on Discrete Mathematics, Jahrgang 28, 31.01.2014, S. 1-7.
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On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. / Pirsic, G; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 73, 01.01.2014, S. 319-328.
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Generalizations of complete mappings of finite fields and some applications. / Winterhof, A.
in: Journal of Symbolic Computation, Jahrgang 64, 01.01.2014, S. 42-52.
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Distribution of values of polynomial Fermat quotients. / Shparlinski, I.E; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 19, 01.02.2013, S. 93-104.
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Addendum to Sidelnikov sequences over nonprime fields. / Brandstätter, N; Meidl, W; Winterhof, A.
in: Information Processing Letters, Jahrgang 113, Nr. 9, 01.01.2013, S. 332-336.
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Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences. / Su, M; Winterhof, A.
in: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Jahrgang E95-A, Nr. 11, 01.11.2012, S. 1851-1854.
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Multiplicative character sums of Fermat quotients and pseudorandom sequences. / Gomez, D; Winterhof, A.
in: Periodica Mathematica Hungarica, Jahrgang 64, 05.10.2012, S. 161-168.
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On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients. / Chen, Z; Winterhof, A.
in: International Journal of Number Theory, Jahrgang 8, 01.10.2012, S. 631-641.
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Topics related to character sums. / Winterhof, A.
in: Internationale Mathematische Nachrichten, Jahrgang 220, 28.06.2012, S. 1-30.
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Correlation of the two-prime Sidelnikov sequence. / Brandstätter, N; Pirsic, G; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 59, Nr. 1-3, 15.10.2011, S. 59-68.
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Linear complexity profile of m-ary pseudorandom sequences with small correlation measure. / Chen, Z; Winterhof, A.
in: Indagationes Mathematicae, Jahrgang 20, Nr. 4, 26.01.2011, S. 631-640.
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Multiplicative character sums of a class of nonlinear recurrence vector sequences. / Ostafe, A; Shparlinski, I; Winterhof, A.
in: International Journal of Number Theory, Jahrgang 7, 18.01.2011, S. 1157-1571.
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Boolean functions derived from Fermat quotients. / Aly, H; Winterhof, A.
in: Rocky Mountain Journal of Mathematics, Jahrgang 3, Nr. 3, 01.01.2011, S. 165-174.
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Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. / Niederreiter, H; Winterhof, A.
in: Uniform Distribution Theory, Jahrgang 6, Nr. 1, 01.01.2011, S. 33-56.
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On the structure of digital explicit nonlinear and inversive pseudorandom number generators. / Pirsic, G; Winterhof, A.
in: Journal of Complexity, Jahrgang 26, Nr. 1, 15.10.2010, S. 43-50.
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Permutations of finite fields for check digit systems. / Shaheen, R; Winterhof, A.
in: Designs, Codes and Cryptography, Jahrgang 57, Nr. 3, 15.06.2010, S. 361-371.
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On the pseudorandomness of binary and quaternary sequences linked by the Gray mapping. / Marzouk, R; Winterhof, A.
in: Periodica Mathematica Hungarica, Jahrgang 60, Nr. 1, 15.06.2010, S. 1-11.
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On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. / Ostafe, A; Shparlinski, I; Winterhof, A.
in: Advances in Mathematics of Communication, Jahrgang 4, Nr. 3, 15.06.2010, S. 369-379.
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Autocorrelation of Legendre-Sidelnikov sequences. / Su, M; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 56, Nr. 4, 15.06.2010, S. 1714-1718.
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Partitions into two Lehmer numbers. / Shparlinski, I; Winterhof, A.
in: Monatshefte für Mathematik, Jahrgang 160, Nr. 4, 15.03.2010, S. 429-441.
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Exponential sums and linear complexity of nonlinear pseudorandom number generators with polynomials of small p-weight degree. / Ibeas, A; Winterhof, A.
in: Uniform Distribution Theory, Jahrgang 5, Nr. 1, 25.01.2010, S. 79-93.
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Exact solutions to Waring's problem for finite fields. / van de Woestijne, C; Winterhof, A.
in: Acta Arithmetica, Jahrgang 141, Nr. 2, 01.01.2010, S. 171-190.
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k-error linear complexity over F_p of subsequences of Sidelnikov sequences of period (p^r-1)/3. / Brandstätter, N; Winterhof, A.
in: Journal of Mathematical Cryptography, Jahrgang 3, Nr. 3, 15.12.2009, S. 215-225.
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An average bound for character sums with some counter-dependent recurrence sequences. / Balasuriya, S; Shparlinski, I; Winterhof, A.
in: Rocky Mountain Journal of Mathematics, Jahrgang 39, 21.10.2009, S. 1403-1410.
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Noisy interpolation of multivariate sparse polynomials in finite fields. / Ibeas, A; Winterhof, Arne.
in: Lecture Notes in Computer Science, Jahrgang 5527, 15.04.2009, S. 169-178.
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Measures of pseudorandomness for binary sequences constructed using finite fields. / Sarközy, A; Winterhof, A.
in: Discrete Applied Mathematics, Jahrgang 309, 01.04.2009, S. 1327-1333.
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Exponential sums for nonlinear recurring sequences. / Niederreiter, H; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 14, 15.06.2008, S. 59-64.
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Exponential sums of nonlinear congruential pseudorandom number generators with Redei functions. / Gutierrez, J; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 14, 15.06.2008, S. 410-416.
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On the number of distances between the coordinates of points on modular hyperbolas. / Shparlinski, I; Winterhof, A.
in: Journal of Number Theory, Jahrgang 128, 15.06.2008, S. 1224-1230.
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Visible points on multidimensional modular hyperbolas. / Shparlinski, I; Winterhof, A.
in: Journal of Number Theory, Jahrgang 128, 15.06.2008, S. 2695-2703.
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On the k-error linear complexity of cyclotomic sequences. / Aly, H; Meidl, W; Winterhof, A.
in: Journal of Mathematical Cryptography, Jahrgang 1, Nr. 3, 01.07.2007.
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On the linear complexity profile of nonlinear congruential pseudorandom number generators with Redei functions. / Meidl, W; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 13, Nr. 3, 01.07.2007, S. 628-634.
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Quantum period reconstruction of noisy sequences. / Shparlinski, I; Winterhof, A.
in: Information Processing Letters, Jahrgang 103, Nr. 6, 01.06.2007, S. 283-296.
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On the distribution and linear complexity of counter-dependent nonlinear congruential pseudorandom number generators. / Mahassni, E.D El; Winterhof, A.
in: JP Journal of Algebra, Number Theory and Applications, Jahrgang 2, 15.06.2006, S. 1-6.
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On the k-error linear complexity over F_p of Legendre and Sidelnikov sequences. / Aly, H; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 40, 15.06.2006, S. 369-374.
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Linear complexity profile of binary sequences with small correlation measure. / Brandstätter, N; Winterhof, A.
in: Periodica Mathematica Hungarica, Jahrgang 52(2), 15.06.2006, S. 1-8.
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Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials. / Brandstätter, N; Winterhof, A.
in: Archivum Mathematicum, Jahrgang 42(1), 15.06.2006, S. 43-50.
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On the distribution of nonlinear congruential pseudorandom numbers in residue rings. / El-Mahassni, E.D; Winterhof, A.
in: Journal of Number Theory, Jahrgang 2, 15.06.2006, S. 163-168.
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On the lower bound of the linear complexity over F_p of Sidelnikov sequences. / Garaev, M; Luca, F; Shparlinski, I et al.
in: IEEE Transactions on Information Theory, Jahrgang 52, 15.06.2006, S. 3299-3304.
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Distribution of nonlinear congruential pseudorandom numbers for almost squarefree integers. / El-Mahassni, E.D; Shparlinski, I; Winterhof, A.
in: Monatshefte fur Mathematik, Jahrgang 148, 15.06.2006, S. 297-307.
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On the linear complexity profile of nonlinear congruential pseudorandom number generators with Dickson polynomials. / Aly, H; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 39, 15.06.2006, S. 155-162.
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On the nonlinearity of linear recurrence sequences. / Shparlinski, I; Winterhof, A.
in: Applied Mathematics Letters, Jahrgang 19, 15.06.2006, S. 340-344.
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Polynomial representations of the Lucas logarithm. / Aly, H; Winterhof, A.
in: Finite Fields and their Applications, Jahrgang 12(413-424), 15.06.2006.
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Some notes on the linear complexity of Sidelnikov-Lempel-Cohn-Eastman sequences. / Meidl, W; Winterhof, A.
in: Designs, Codes, and Cryptography, Jahrgang 38, 15.06.2006, S. 159-178.
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Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem. / Kiltz, E; Winterhof, A.
in: Discrete Applied Mathematics, Jahrgang 154, 15.06.2006, S. 326-336.
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Some notes on the two-prime generator. / Brandstätter, N; Winterhof, A.
in: IEEE Transactions on Information Theory, Jahrgang 51, 15.06.2005, S. 3654-3657.
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On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states. / Klappenecker, A; Rötteler, M; Shparlinski, I et al.
in: Journal of Mathematical Physics, Jahrgang 46(8 082104), 15.06.2005, S. 17.
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On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders. / Topuzoglu, A; Winterhof, A.
in: Applicable Algebra in Engineering, Communication and Computing, Jahrgang 16, 15.06.2005, S. 219-228.
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A hidden number problem in small subgroups. / Shparlinski, I; Winterhof, A.
in: Mathematics of Computation, Jahrgang 74, 15.06.2005, S. 2073-2080.
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Cyclotomic R-orthomorphisms of finite fields. / Niederreiter, H; Winterhof, A.
in: Discrete Mathematics, Jahrgang 295, 15.06.2005, S. 161-171.
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Exponential sums and the distribution of inversive congruential pseudorandom numbers with power of two modulus. / Niederreiter, H; Winterhof, A.
in: International Journal of Number Theory, Jahrgang 1(431-438), 15.06.2005.
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On the linear complexity of bounded integer sequences over different moduli. / Shparlinski, I; Winterhof, A.
in: Information Processing Letters, 15.06.2005.
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Noisy interpolation of sparse polynomials in finite fields. / Shparlinski, I; Winterhof, A.
in: Applicable Algebra in Engineering, Communication and Computing, 15.06.2005.
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On the joint linear complexity profile of explicit inversive multisequences. / Meidl, W; Winterhof, A.
in: Journal of Complexity, Jahrgang 21, 15.06.2005, S. 324-336.
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Boolean functions derived from pseudorandom binary sequences. / Pirsic, G; Winterhof, A; Helleseth, T (Herausgeber:in) et al.
Sequences and Their Applications - SETA 2012. Springer, 2012. S. 101-109 (Lecture Notes Computer Science 7280).
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Additive character sums of polynomial quotients. / Chen, Z; Winterhof, A.
Finite Fields and Applications. 2012. S. 67-73.
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On the Waring problem with multivariate Dickson polynomials. / Ostafe, A; Thomson, D; Winterhof, A.
Finite fields and applications. 2012. S. 153-161.
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Correlation of order k and linear complexity profile of Legendre-Sidelnikov sequences. / Su, M; Winterhof, A.
IWSDA 2011. 2011. S. 1-4.
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Recent results on recursive nonlinear pseudorandom number generators (invited paper). / Winterhof, A; Carlet, Claude et al (Herausgeber:in).
Sequences and their Applications. Berlin: Springer, 2010. S. 113-124 (Lecture Notes in Computer Science 6338).
RIS ENW BIB
Waring's problem with Dickson polynomials in finite fields. / Gomez, D; Winterhof, A; McGuire, Gary et al (Herausgeber:in).
Finite fields: Theory and applications. Providence (RI): American Mathematical Society, 2010. S. 185-192 (Contemporary Mathematics 518).
RIS ENW BIB
Structure of pseudorandom numbers derived from Fermat quotients. / Chen, Z; Ostafe, A; Winterhof, A et al.
Arithmetic of finite fields.. Berlin: Springer, 2010. S. 73-85 (Lecture Notes in Computer Science 6087).
RIS ENW BIB
Two-prime Sidelnikov sequences. / Brandstätter, N; Pirsic, G; Winterhof, A.
Workshop on Coding and Cryptography. 2009. S. 389-398.
RIS ENW BIB
Distribution of digital explicit inversive pseudorandom numbers and their binary threshold sequence. / Chen, Z; Gomez, D; Winterhof, A et al.
Monte Carlo and quasi-Monte Carlo methods 2008. Berlin: Springer, 2009. S. 249-258.
RIS ENW BIB
Multiplicative character sums of recurring sequences with Redei functions. / Gomez, D; Winterhof, A; Golomb, S.W (Herausgeber:in) et al.
Sequences and Their Applications (SETA08). 2008. S. 175--181 (Lecture Notes Computer Science).
RIS ENW BIB
Interpolation of the double discrete logarithm. / Meletiou, G; Winterhof, A; Gathen, J von zur (Herausgeber:in).
Arithmetic in Finite Fields (WAIFI 2008). 2008. S. 1-10 (Lecture Notes Computer Science).
RIS ENW BIB
On the average distribution of power residues and primitive elements in inversive and nonlinear recurring sequences. / Cesmelioglu, A; Winterhof, A; Golomb, S.W (Herausgeber:in) et al.
Sequences and Their Applications (SETA08). 2008. S. 60--70 (Lecture Notes Computer Science).
RIS ENW BIB
Subsequences of Sidelnikov sequences. / Brandstätter, N; Winterhof, A; Mullen, G (Herausgeber:in) et al.
Finite Fields and Applications. 2008. S. 33-46 (Contemporary Mathematics 461).
RIS ENW BIB
Character sums for sequences of iterations of Dickson polynomials. / Gomez, D; Winterhof, A; Panario, D (Herausgeber:in) et al.
Finite Fields and Applications. 2008. S. 147-152 (Contemporary Mathematics 461).
RIS ENW BIB
On the structure of inversive pseudorandom number generators. / Niederreiter, H; Winterhof, A; al, S Boztas et (Herausgeber:in).
AAECC 17. Bangalore, 2007. S. 208-216.
RIS ENW BIB
Subsequences of Sidelnikov sequences. / Brandstätter, N; Winterhof, A.
Finite Fields and Applications. Melbourne, 2007. S. 33-45 (Contemporary Mathematics).
RIS ENW BIB
k-Error Linear Complexity of Generalisations of Sidelnikov Sequences. / Brandstätter, Nina; Winterhof, Arne.
N/A. 2007.
RIS ENW BIB
On the non-linearity and sparsity of Boolean functions related to the discrete logarithm in finite fields of characteristic two. / Brandstätter, N; Lange, T; Winterhof, A.
Workshop on Coding and Cryptography WCC 2005. Band 3969 2006. S. 135-143 (Lecture Notes Computer Science).
RIS ENW BIB
On the discrepancy and linear complexity of some counter-dependent recurrence sequences. / Shparlinski, I; Winterhof, A.
Sequences and Their Applications 2006. Band 4086 Springer, 2006. S. 295-303 (Lecture Notes Computer Science).
RIS ENW BIB
Constructions of approximately mutually unbiased bases. / Shparlinski, I; Winterhof, A.
Latin 2006. Band Lecture Notes in Computer Sciences 3887 2006. S. 793-799.
RIS ENW BIB
Quantum period reconstruction of binary sequences. / Piroi, F; Winterhof, A.
AAECC. Band 3857 2006. S. 60-67 (Lecture Notes Computer Science).
RIS ENW BIB
On the distribution of some new explicit inversive pseudorandom numbers and vectors. / Winterhof, A; Niederreiter, H (Herausgeber:in); Talay, D (Herausgeber:in).
MC2QMC 2004. Springer, 2006. S. 487-499.
RIS ENW BIB
Interpolation of functions related to the integer factoring problem. / Adelmann, C; Winterhof, A.
Workshop on Coding and Cryptography WCC 2005. Band 3969 2006. S. 144-154 (Lecture Notes Computer Science).
RIS ENW BIB
Nonlinearity of binary sequences with small autocorrelation. / Brandstätter, N; Winterhof, A.
Proceedings of the Second International Workshop on Sequence Design and its Applications in Communications (IWSDA 05). 2005. S. 44-47.
RIS ENW BIB
Quantum period reconstruction of noisy sequences. / Shparlinski, I; Winterhof, A.
EQIS 2005. 2005. S. 7-8.
RIS ENW BIB
Interpolation of the discrete logarithm in a finite field of characteristic two. / Brandstätter, N; Lange, T; Winterhof, A.
International Workshop on Coding and Cryptography. Band 47-54 2005.
RIS ENW BIB
Interpolation of functions related to the integer factoring problem. / Adelmann, C; Winterhof, A.
International Workshop on Coding and Cryptography. Band 62-70 2005.
RIS ENW BIB
On the distribution of some new explicit nonlinear congruential pseudorandom numbers. / Niederreiter, H; Winterhof, A; al, T Helleseth et (Herausgeber:in).
Sequences and Their Applications 2004. Band 3486 2005. S. 266-274 (Lecture Notes in Computer Sciences).
RIS ENW BIB

Quaternary Legendre pairs. / Kotsireas, I; Winterhof, A.
Stinson 66 - New Advances in Designs, Codes and Cryptography. 2024. S. 279--294 (Fields Institute Communications).
DOI RIS ENW BIB
Measures of pseudorandomness: Arithmetic autocorrelation and correlation measure. / Hofer, R; Merai, L; Winterhof, A et al.
Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday.. Springer, 2017. S. 303-312.
RIS ENW BIB
Some highlights of Harald Niederreiter's work. / Larcher, G; Pillichshammer, F; Winterhof, A et al.
Applied Algebra and Number Theory: Essays in Honour of Harald Niederreiter (on the occasion of his 70th birthday). Cambridge: Cambridge University Press, 2014. S. 1-18 (Cambridge University Press).
RIS ENW BIB
Some applications of character sums. / Ostafe, A; Winterhof, A; Mullen, G (Herausgeber:in) et al.
Handbook of Finite Fields. Chapman & Hall, 2013. S. 170-184.
RIS ENW BIB
Linear complexity of sequences and multisequences. / Meidl, W; Winterhof, A; Mullen, G (Herausgeber:in) et al.
Handbook of Finite Fields. Chapman & Hall, 2013. S. 324-336.
RIS ENW BIB
Finite fields in quantum information theory. / Rötteler, M; Winterhof, A; Mullen, G (Herausgeber:in) et al.
Handbook of Finite Fields. Chapman & Hall, 2013. S. 834-840.
RIS ENW BIB
Pseudorandom numbers: Uniform distribution and exponential sums. / Topuzoglu, A; Winterhof, A; Boztas, S (Herausgeber:in).
CRC Handbook of Sequences, Codes and Applications. Chapman and Hall/CRC Press, 2011. S. to appear.
RIS ENW BIB
Measures of pseudorandomness. / Winterhof, A; Boztas, S (Herausgeber:in).
CRC Handbook of Sequences, Codes and Applications. Chapman and Hall/CRC Press, 2011. S. to appear.
RIS ENW BIB
Linear complexity and related complexity measures. / Winterhof, A; Woungang, I (Herausgeber:in); S, Ling and H (Serienherausgeber:in).
Selected Topics in Information and Coding Theory. Singapore: World Scientific, 2010. S. 3-40 (Series on Coding Theory and Crpytology).
RIS ENW BIB
Pseudorandom sequences. / Topuzoglu, A; Winterhof, A.
Topics in Geometry, Cryptography and Coding Theory. Springer, 2005.
RIS ENW BIB

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Arne Winterhof

Arne Winterhof

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