Arne Winterhof

ORCID

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 35

Top Venues

IEEE Trans. Inf. Theory

CoRR

Cryptogr. Commun.

Des. Codes Cryptogr.

Publications

Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof
Maximum-Order Complexity and 2-Adic Complexity. IEEE Trans. Inf. Theory 70 (8) (2024)
Philipp A. Grzywaczyk, Arne Winterhof
Primitive elements of finite fields Fqr avoiding affine hyperplanes for q = 4 and q = 5. Finite Fields Their Appl. 96 (2024)
Arne Winterhof
Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 106 (12) (2023)
Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof
Maximum-order complexity and 2-adic complexity. CoRR (2023)
Zhixiong Chen, Zhihua Niu, Arne Winterhof
Arithmetic Crosscorrelation of Pseudorandom Binary Sequences of Coprime Periods. IEEE Trans. Inf. Theory 68 (11) (2022)
Zhixiong Chen, Zhihua Niu, Arne Winterhof
Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods. CoRR (2022)
Leyla Isik, Arne Winterhof
On the index of the Diffie-Hellman mapping. Appl. Algebra Eng. Commun. Comput. 33 (5) (2022)
László Mérai, Arne Winterhof
Pseudorandom sequences derived from automatic sequences. Cryptogr. Commun. 14 (4) (2022)
Arne Winterhof, Zibi Xiao
Binary sequences derived from differences of consecutive quadratic residues. Adv. Math. Commun. 16 (1) (2022)
László Mérai, Arne Winterhof
Pseudorandom sequences derived from automatic sequences. CoRR (2021)
Arne Winterhof, Zibi Xiao
Binary Sequences Derived From Differences of Consecutive Primitive Roots. IEEE Trans. Inf. Theory 67 (8) (2021)
Mehdi Makhul, Audie Warren, Arne Winterhof
The Spherical Kakeya Problem in Finite Fields. SIAM J. Discret. Math. 34 (4) (2020)
Arne Winterhof, Zibi Xiao
Binary sequences derived from differences of consecutive quadratic residues. CoRR (2020)
Domingo Gómez-Pérez, Arne Winterhof
A Note on the Cross-Correlation of Costas Permutations. CoRR (2020)
Hassan Aly, Arne Winterhof
A Note on Hall's Sextic Residue Sequence: Correlation Measure of Order $k$ and Related Measures of Pseudorandomness. IEEE Trans. Inf. Theory 66 (3) (2020)
Domingo Gómez-Pérez, Arne Winterhof
A Note on the Cross-Correlation of Costas Permutations. IEEE Trans. Inf. Theory 66 (12) (2020)
Richard Hofer, Arne Winterhof
r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. Cryptogr. Commun. 11 (5) (2019)
Audie Warren, Arne Winterhof
Conical Kakeya and Nikodym sets in finite fields. Finite Fields Their Appl. 59 (2019)
Zhimin Sun, Arne Winterhof
On the maximum order complexity of subsequences of the Thue-Morse and Rudin-Shapiro sequence along squares. Int. J. Comput. Math. Comput. Syst. Theory 4 (1) (2019)
Igor E. Shparlinski, Arne Winterhof
Codes correcting restricted errors. Des. Codes Cryptogr. 87 (4) (2019)
László Mérai, Arne Winterhof
On the pseudorandomness of automatic sequences. Cryptogr. Commun. 10 (6) (2018)
Oliver Roche-Newton, Ilya D. Shkredov, Arne Winterhof
Packing Sets over Finite Abelian Groups. Integers 18 (2018)
Evelyn Buckwar, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer, Arne Winterhof
Editorial. Math. Comput. Simul. 143 (2018)
Leyla Isik, Arne Winterhof
Carlitz rank and index of permutation polynomials. Finite Fields Their Appl. 49 (2018)
Ming Su, Arne Winterhof
Hamming correlation of higher order. Adv. Math. Commun. 12 (3) (2018)
Richard Hofer, Arne Winterhof
On the 2-Adic Complexity of the Two-Prime Generator. IEEE Trans. Inf. Theory 64 (8) (2018)
Arne Winterhof, Oguz Yayla, Volker Ziegler
Non-existence of Some Nearly Perfect Sequences, Near Butson-Hadamard Matrices, and Near Conference Matrices. Math. Comput. Sci. 12 (4) (2018)
Igor E. Shparlinski, Arne Winterhof
Codes correcting restricted errors. CoRR (2018)
Richard Hofer, Arne Winterhof
On the arithmetic autocorrelation of the Legendre sequence. Adv. Math. Commun. 11 (1) (2017)
László Mérai, Harald Niederreiter, Arne Winterhof
Expansion complexity and linear complexity of sequences over finite fields. Cryptogr. Commun. 9 (4) (2017)
Ming Su, Arne Winterhof
On the pseudorandomness of quaternary sequences derived from sequences over $\mathbb F_4$. Period. Math. Hung. 74 (1) (2017)
Leyla Isik, Arne Winterhof
Maximum-Order Complexity and Correlation Measures. Cryptogr. 1 (1) (2017)
Leyla Isik, Alev Topuzoglu, Arne Winterhof
Complete mappings and Carlitz rank. Des. Codes Cryptogr. 85 (1) (2017)
László Mérai, Arne Winterhof
On the linear complexity profile of some sequences derived from elliptic curves. Des. Codes Cryptogr. 81 (2) (2016)
Richard Hofer, Arne Winterhof
Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences. WAIFI (2016)
Jing Jane He, Daniel Panario, Qiang Wang, Arne Winterhof
Linear complexity profile and correlation measure of interleaved sequences. Cryptogr. Commun. 7 (4) (2015)
Arne Winterhof
Generalizations of complete mappings of finite fields and some applications. J. Symb. Comput. 64 (2014)
Zhixiong Chen, Igor E. Shparlinski, Arne Winterhof
Covering Sets for Limited-Magnitude Errors. IEEE Trans. Inf. Theory 60 (9) (2014)
Mizan R. Khan, Richard Magner, Steven Senger, Arne Winterhof
Two Combinatorial Geometric Problems involving Modular Hyperbolas. Integers 14 (2014)
Zhixiong Chen, Arne Winterhof
Interpolation of Fermat Quotients. SIAM J. Discret. Math. 28 (1) (2014)
Gottlieb Isabel Pirsic, Arne Winterhof
On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. Des. Codes Cryptogr. 73 (2) (2014)
Nina Brandstätter, Wilfried Meidl, Arne Winterhof
Addendum to Sidel'nikov sequences over nonprime fields. Inf. Process. Lett. 113 (9) (2013)
Igor E. Shparlinski, Arne Winterhof
Distribution of values of polynomial Fermat quotients. Finite Fields Their Appl. 19 (1) (2013)
Zhixiong Chen, Igor E. Shparlinski, Arne Winterhof
Covering sets for limited-magnitude errors. CoRR (2013)
Ming Su, Arne Winterhof
and Linear Complexity Profile of Legendre-Sidelnikov Sequences. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. (11) (2012)
Domingo Gómez, Arne Winterhof
Multiplicative character sums of Fermat quotients and pseudorandom sequences. Period. Math. Hung. 64 (2) (2012)
Gottlieb Pirsic, Arne Winterhof
Boolean Functions Derived from Pseudorandom Binary Sequences. SETA (2012)
Nina Brandstätter, Gottlieb Pirsic, Arne Winterhof
Correlation of the two-prime Sidel'nikov sequence. Des. Codes Cryptogr. 59 (1-3) (2011)
Hassan Aly, Arne Winterhof
Boolean functions derived from Fermat quotients. Cryptogr. Commun. 3 (3) (2011)
Ming Su, Arne Winterhof
Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences. IWSDA (2011)
Radwa Marzouk, Arne Winterhof
On the pseudorandomness of binary and quaternary sequences linked by the gray mapping. Period. Math. Hung. 60 (1) (2010)
Zhixiong Chen, Alina Ostafe, Arne Winterhof
Structure of Pseudorandom Numbers Derived from Fermat Quotients. WAIFI (2010)
Gottlieb Pirsic, Arne Winterhof
On the structure of digital explicit nonlinear and inversive pseudorandom number generators. J. Complex. 26 (1) (2010)
Rasha Shaheen, Arne Winterhof
Permutations of finite fields for check digit systems. Des. Codes Cryptogr. 57 (3) (2010)
Alina Ostafe, Igor E. Shparlinski, Arne Winterhof
On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. Adv. Math. Commun. 4 (3) (2010)
Arne Winterhof
Recent Results on Recursive Nonlinear Pseudorandom Number Generators - (Invited Paper). SETA (2010)
Ming Su, Arne Winterhof
Autocorrelation of Legendre-Sidelnikov sequences. IEEE Trans. Inf. Theory 56 (4) (2010)
Nina Brandstätter, Arne Winterhof
-error linear complexity over p of subsequences of Sidelnikov sequences of period (pr - 1)/3. J. Math. Cryptol. 3 (3) (2009)
András Sárközy, Arne Winterhof
Measures of pseudorandomness for binary sequences constructed using finite fields. Discret. Math. 309 (6) (2009)
Álvar Ibeas, Arne Winterhof
Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields. AAECC (2009)
Ayça Çesmelioglu, Arne Winterhof
On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences. SETA (2008)
Jaime Gutierrez, Arne Winterhof
Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions. Finite Fields Their Appl. 14 (2) (2008)
Harald Niederreiter, Arne Winterhof
Exponential sums for nonlinear recurring sequences. Finite Fields Their Appl. 14 (1) (2008)
Gerasimos C. Meletiou, Arne Winterhof
Interpolation of the Double Discrete Logarithm. WAIFI (2008)
Domingo Gómez, Arne Winterhof
Multiplicative Character Sums of Recurring Sequences with Rédei Functions. SETA (2008)
Hassan Aly, Wilfried Meidl, Arne Winterhof
On the k-error linear complexity of cyclotomic sequences. J. Math. Cryptol. 1 (3) (2007)
Igor E. Shparlinski, Arne Winterhof
Quantum period reconstruction of approximate sequences. Inf. Process. Lett. 103 (6) (2007)
Harald Niederreiter, Arne Winterhof
On the Structure of Inversive Pseudorandom Number Generators. AAECC (2007)
Wilfried Meidl, Arne Winterhof
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions. Finite Fields Their Appl. 13 (3) (2007)
Hassan Aly, Arne Winterhof
of Legendre and Sidelnikov sequences. Des. Codes Cryptogr. 40 (3) (2006)
Igor E. Shparlinski, Arne Winterhof
Constructions of Approximately Mutually Unbiased Bases. LATIN (2006)
Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski, Arne Winterhof
On the Lower Bound of the Linear Complexity Over BBF_p of Sidelnikov Sequences. IEEE Trans. Inf. Theory 52 (7) (2006)
Hassan Aly, Arne Winterhof
Polynomial representations of the Lucas logarithm. Finite Fields Their Appl. 12 (3) (2006)
Igor E. Shparlinski, Arne Winterhof
On the Discrepancy and Linear Complexity of Some Counter-Dependent Recurrence Sequences. SETA (2006)
Florina Piroi, Arne Winterhof
Quantum Period Reconstruction of Binary Sequences. AAECC (2006)
Igor E. Shparlinski, Arne Winterhof
On the nonlinearity of linear recurrence sequences. Appl. Math. Lett. 19 (4) (2006)
Nina Brandstätter, Arne Winterhof
Linear complexity profile of binary sequences with small correlation measure. Period. Math. Hung. 52 (2) (2006)
Wilfried Meidl, Arne Winterhof
Some Notes on the Linear Complexity of Sidel'nikov-Lempel-Cohn-Eastman Sequences. Des. Codes Cryptogr. 38 (2) (2006)
Eike Kiltz, Arne Winterhof
Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem. Discret. Appl. Math. 154 (2) (2006)
Hassan Aly, Arne Winterhof
On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials. Des. Codes Cryptogr. 39 (2) (2006)
Alev Topuzoglu, Arne Winterhof
On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders. Appl. Algebra Eng. Commun. Comput. 16 (4) (2005)
Nina Brandstätter, Tanja Lange, Arne Winterhof
On the Non-linearity and Sparsity of Boolean Functions Related to the Discrete Logarithm in Finite Fields of Characteristic Two. WCC (2005)
Igor E. Shparlinski, Arne Winterhof
On the linear complexity of bounded integer sequences over different moduli. Inf. Process. Lett. 96 (5) (2005)
Clemens Adelmann, Arne Winterhof
Interpolation of Functions Related to the Integer Factoring Problem. WCC (2005)
Nina Brandstätter, Arne Winterhof
Some notes on the two-prime generator of order 2. IEEE Trans. Inf. Theory 51 (10) (2005)
Igor E. Shparlinski, Arne Winterhof
A hidden number problem in small subgroups. Math. Comput. 74 (252) (2005)
Igor E. Shparlinski, Arne Winterhof
Noisy interpolation of sparse polynomials in finite fields. Appl. Algebra Eng. Commun. Comput. 16 (5) (2005)
Wilfried Meidl, Arne Winterhof
On the joint linear complexity profile of explicit inversive multisequences. J. Complex. 21 (3) (2005)
Harald Niederreiter, Arne Winterhof
Cyclotomic R-orthomorphisms of finite fields. Discret. Math. 295 (1-3) (2005)
Harald Niederreiter, Arne Winterhof
On the Distribution of Some New Explicit Nonlinear Congruential Pseudorandom Numbers. SETA (2004)
Wilfried Meidl, Arne Winterhof
On the linear complexity profile of some new explicit inversive pseudorandom numbers. J. Complex. 20 (2-3) (2004)
Igor E. Shparlinski, Arne Winterhof
A Nonuniform Algorithm for the Hidden Number Problem in Subgroups. Public Key Cryptography (2004)
Gerhard Dorfer, Wilfried Meidl, Arne Winterhof
Counting functions and expected values for the lattice profile at n. Finite Fields Their Appl. 10 (4) (2004)
Gerhard Dorfer, Arne Winterhof
Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators. Appl. Algebra Eng. Commun. Comput. 13 (6) (2003)
Wilfried Meidl, Arne Winterhof
On the linear complexity profile of explicit nonlinear pseudorandom numbers. Inf. Process. Lett. 85 (1) (2003)
Tanja Lange, Arne Winterhof
by Boolean Functions and by Polynomials in Several Variables Modulo a Divisor of Q-1. Discret. Appl. Math. 128 (1) (2003)
Jaime Gutierrez, Igor E. Shparlinski, Arne Winterhof
On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators. IEEE Trans. Inf. Theory 49 (1) (2003)
Tanja Lange, Arne Winterhof
Interpolation of the Elliptic Curve Diffie-Hellman Mapping. AAECC (2003)
Wilfried Meidl, Arne Winterhof
On the Autocorrelation of Cyclotomic Generators. International Conference on Finite Fields and Applications (2003)
Igor E. Shparlinski, Arne Winterhof
Hidden Number Problem in Small Subgroups. IACR Cryptol. ePrint Arch. 2003 (2003)

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Publication Activity (10 Years)

Top Topics

Top Venues

Arne Winterhof