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2020 – today
- 2024
[j85]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: 102416 (2024)- [j84]Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof:
Maximum-Order Complexity and 2-Adic Complexity. IEEE Trans. Inf. Theory 70(8): 6060-6067 (2024) - [j83]Huaning Liu, Arne Winterhof:
On the Cross-Correlation of Golomb Costas Permutations. IEEE Trans. Inf. Theory 70(11): 7848-7852 (2024) - [i9]Johannes Grünberger, Arne Winterhof:
Some notes on the pseudorandomness of Legendre symbol and Liouville function. CoRR abs/2411.05471 (2024) - 2023
- [j82]Arne Winterhof:
Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 106(12): 1452-1460 (2023) - [i8]Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof:
Maximum-order complexity and 2-adic complexity. CoRR abs/2309.12769 (2023) - 2022
- [j81]Leyla Isik, Arne Winterhof:
On the index of the Diffie-Hellman mapping. Appl. Algebra Eng. Commun. Comput. 33(5): 587-595 (2022) - [j80]Arne Winterhof, Zibi Xiao:
Binary sequences derived from differences of consecutive quadratic residues. Adv. Math. Commun. 16(1): 83-93 (2022) - [j79]László Mérai, Arne Winterhof:
Pseudorandom sequences derived from automatic sequences. Cryptogr. Commun. 14(4): 783-815 (2022) - [j78]Zhixiong Chen, Zhihua Niu, Arne Winterhof:
Arithmetic Crosscorrelation of Pseudorandom Binary Sequences of Coprime Periods. IEEE Trans. Inf. Theory 68(11): 7538-7544 (2022) - [i7]Zhixiong Chen, Zhihua Niu, Arne Winterhof:
Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods. CoRR abs/2203.11427 (2022) - 2021
- [j77]Arne Winterhof, Zibi Xiao:
Binary Sequences Derived From Differences of Consecutive Primitive Roots. IEEE Trans. Inf. Theory 67(8): 5334-5338 (2021) - [i6]László Mérai, Arne Winterhof:
Pseudorandom sequences derived from automatic sequences. CoRR abs/2105.03086 (2021) - 2020
- [j76]Mehdi Makhul, Audie Warren, Arne Winterhof:
The Spherical Kakeya Problem in Finite Fields. SIAM J. Discret. Math. 34(4): 2502-2509 (2020) - [j75]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): 1944-1947 (2020) - [j74]Domingo Gómez-Pérez, Arne Winterhof:
A Note on the Cross-Correlation of Costas Permutations. IEEE Trans. Inf. Theory 66(12): 7724-7727 (2020) - [i5]Arne Winterhof, Zibi Xiao:
Binary sequences derived from differences of consecutive quadratic residues. CoRR abs/2005.08651 (2020) - [i4]Domingo Gómez-Pérez, Arne Winterhof:
A Note on the Cross-Correlation of Costas Permutations. CoRR abs/2006.12820 (2020)
2010 – 2019
- 2019
- [j73]Richard Hofer, Arne Winterhof:
r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. Cryptogr. Commun. 11(5): 993-997 (2019) - [j72]Igor E. Shparlinski, Arne Winterhof:
Codes correcting restricted errors. Des. Codes Cryptogr. 87(4): 855-863 (2019) - [j71]Audie Warren, Arne Winterhof:
Conical Kakeya and Nikodym sets in finite fields. Finite Fields Their Appl. 59: 185-198 (2019) - [j70]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): 30-36 (2019) - 2018
- [j69]Ming Su, Arne Winterhof:
Hamming correlation of higher order. Adv. Math. Commun. 12(3): 505-513 (2018) - [j68]László Mérai, Arne Winterhof:
On the pseudorandomness of automatic sequences. Cryptogr. Commun. 10(6): 1013-1022 (2018) - [j67]Leyla Isik, Arne Winterhof:
Carlitz rank and index of permutation polynomials. Finite Fields Their Appl. 49: 156-165 (2018) - [j66]Oliver Roche-Newton, Ilya D. Shkredov, Arne Winterhof:
Packing Sets over Finite Abelian Groups. Integers 18: A38 (2018) - [j65]Evelyn Buckwar, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer, Arne Winterhof:
Editorial. Math. Comput. Simul. 143: 1-2 (2018) - [j64]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): 465-471 (2018) - [j63]Richard Hofer, Arne Winterhof:
On the 2-Adic Complexity of the Two-Prime Generator. IEEE Trans. Inf. Theory 64(8): 5957-5960 (2018) - [i3]Igor E. Shparlinski, Arne Winterhof:
Codes correcting restricted errors. CoRR abs/1811.03375 (2018) - 2017
- [j62]Richard Hofer, Arne Winterhof:
On the arithmetic autocorrelation of the Legendre sequence. Adv. Math. Commun. 11(1): 237-244 (2017) - [j61]László Mérai, Harald Niederreiter, Arne Winterhof:
Expansion complexity and linear complexity of sequences over finite fields. Cryptogr. Commun. 9(4): 501-509 (2017) - [j60]Leyla Isik, Arne Winterhof:
Maximum-Order Complexity and Correlation Measures. Cryptogr. 1(1): 7 (2017) - [j59]Leyla Isik, Alev Topuzoglu, Arne Winterhof:
Complete mappings and Carlitz rank. Des. Codes Cryptogr. 85(1): 121-128 (2017) - [j58]Ming Su, Arne Winterhof:
On the pseudorandomness of quaternary sequences derived from sequences over \(\mathbb F_4\). Period. Math. Hung. 74(1): 79-87 (2017) - 2016
- [j57]László Mérai, Arne Winterhof:
On the linear complexity profile of some sequences derived from elliptic curves. Des. Codes Cryptogr. 81(2): 259-267 (2016) - [c20]Richard Hofer, Arne Winterhof:
Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences. WAIFI 2016: 67-74 - 2015
- [j56]Jing Jane He, Daniel Panario, Qiang Wang, Arne Winterhof:
Linear complexity profile and correlation measure of interleaved sequences. Cryptogr. Commun. 7(4): 497-508 (2015) - 2014
- [j55]Gottlieb Isabel Pirsic, Arne Winterhof:
On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. Des. Codes Cryptogr. 73(2): 319-328 (2014) - [j54]Mizan R. Khan, Richard Magner, Steven Senger, Arne Winterhof:
Two Combinatorial Geometric Problems involving Modular Hyperbolas. Integers 14: A33 (2014) - [j53]Arne Winterhof:
Generalizations of complete mappings of finite fields and some applications. J. Symb. Comput. 64: 42-52 (2014) - [j52]Zhixiong Chen, Arne Winterhof:
Interpolation of Fermat Quotients. SIAM J. Discret. Math. 28(1): 1-7 (2014) - [j51]Zhixiong Chen, Igor E. Shparlinski, Arne Winterhof:
Covering Sets for Limited-Magnitude Errors. IEEE Trans. Inf. Theory 60(9): 5315-5321 (2014) - [p4]Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing:
Some highlights of Harald Niederreiter's work. Applied Algebra and Number Theory 2014: 1-21 - [e5]Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing:
Applied Algebra and Number Theory. Cambridge University Press 2014, ISBN 9781139696456 [contents] - [e4]Peter Kritzer, Harald Niederreiter, Friedrich Pillichshammer, Arne Winterhof:
Uniform Distribution and Quasi-Monte Carlo Methods - Discrepancy, Integration and Applications. Radon Series on Computational and Applied Mathematics 15, De Gruyter 2014, ISBN 978-3-11-031793-0 [contents] - [e3]Kai-Uwe Schmidt, Arne Winterhof:
Sequences and Their Applications - SETA 2014 - 8th International Conference, Melbourne, VIC, Australia, November 24-28, 2014, Proceedings. Lecture Notes in Computer Science 8865, Springer 2014, ISBN 978-3-319-12324-0 [contents] - 2013
- [j50]Igor E. Shparlinski, Arne Winterhof:
Distribution of values of polynomial Fermat quotients. Finite Fields Their Appl. 19(1): 93-104 (2013) - [j49]Nina Brandstätter, Wilfried Meidl, Arne Winterhof:
Addendum to Sidel'nikov sequences over nonprime fields. Inf. Process. Lett. 113(9): 332-336 (2013) - [p3]Alina Ostafe, Arne Winterhof:
Some applications of character sums. Handbook of Finite Fields 2013: 170-184 - [p2]Wilfried Meidl, Arne Winterhof:
Linear complexity of sequences and multisequences. Handbook of Finite Fields 2013: 324-336 - [p1]Martin Roetteler, Arne Winterhof:
Finite fields in quantum information theory. Handbook of Finite Fields 2013: 834-840 - [e2]Pascale Charpin, Alexander Pott, Arne Winterhof:
Finite Fields and Their Applications - Character Sums and Polynomials. Radon Series on Computational and Applied Mathematics 11, De Gruyter 2013, ISBN 978-3-11-028240-5 [contents] - [i2]Zhixiong Chen, Igor E. Shparlinski, Arne Winterhof:
Covering sets for limited-magnitude errors. CoRR abs/1310.0120 (2013) - 2012
- [j48]Ming Su, Arne Winterhof:
Correlation Measure of Order k and Linear Complexity Profile of Legendre-Sidelnikov Sequences. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 95-A(11): 1851-1854 (2012) - [j47]Domingo Gómez, Arne Winterhof:
Multiplicative character sums of Fermat quotients and pseudorandom sequences. Period. Math. Hung. 64(2): 161-168 (2012) - [c19]Gottlieb Pirsic, Arne Winterhof:
Boolean Functions Derived from Pseudorandom Binary Sequences. SETA 2012: 101-109 - 2011
- [j46]Hassan Aly, Arne Winterhof:
Boolean functions derived from Fermat quotients. Cryptogr. Commun. 3(3): 165-174 (2011) - [j45]Nina Brandstätter, Gottlieb Pirsic, Arne Winterhof:
Correlation of the two-prime Sidel'nikov sequence. Des. Codes Cryptogr. 59(1-3): 59-68 (2011) - [c18]Ming Su, Arne Winterhof:
Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences. IWSDA 2011: 6-8 - 2010
- [j44]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): 369-379 (2010) - [j43]Rasha Shaheen, Arne Winterhof:
Permutations of finite fields for check digit systems. Des. Codes Cryptogr. 57(3): 361-371 (2010) - [j42]Gottlieb Pirsic, Arne Winterhof:
On the structure of digital explicit nonlinear and inversive pseudorandom number generators. J. Complex. 26(1): 43-50 (2010) - [j41]Radwa Marzouk, Arne Winterhof:
On the pseudorandomness of binary and quaternary sequences linked by the gray mapping. Period. Math. Hung. 60(1): 13-23 (2010) - [j40]Ming Su, Arne Winterhof:
Autocorrelation of Legendre-Sidelnikov sequences. IEEE Trans. Inf. Theory 56(4): 1714-1718 (2010) - [c17]Arne Winterhof:
Recent Results on Recursive Nonlinear Pseudorandom Number Generators - (Invited Paper). SETA 2010: 113-124 - [c16]Zhixiong Chen, Alina Ostafe, Arne Winterhof:
Structure of Pseudorandom Numbers Derived from Fermat Quotients. WAIFI 2010: 73-85
2000 – 2009
- 2009
- [j39]András Sárközy, Arne Winterhof:
Measures of pseudorandomness for binary sequences constructed using finite fields. Discret. Math. 309(6): 1327-1333 (2009) - [j38]Nina Brandstätter, Arne Winterhof:
-error linear complexity over p of subsequences of Sidelnikov sequences of period (pr - 1)/3. J. Math. Cryptol. 3(3): 215-225 (2009) - [c15]Álvar Ibeas, Arne Winterhof:
Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields. AAECC 2009: 169-178 - 2008
- [j37]Harald Niederreiter, Arne Winterhof:
Exponential sums for nonlinear recurring sequences. Finite Fields Their Appl. 14(1): 59-64 (2008) - [j36]Jaime Gutierrez, Arne Winterhof:
Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions. Finite Fields Their Appl. 14(2): 410-416 (2008) - [c14]Ayça Çesmelioglu, Arne Winterhof:
On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences. SETA 2008: 60-70 - [c13]Domingo Gómez, Arne Winterhof:
Multiplicative Character Sums of Recurring Sequences with Rédei Functions. SETA 2008: 175-181 - [c12]Gerasimos C. Meletiou, Arne Winterhof:
Interpolation of the Double Discrete Logarithm. WAIFI 2008: 1-10 - [e1]Solomon W. Golomb, Matthew Geoffrey Parker, Alexander Pott, Arne Winterhof:
Sequences and Their Applications - SETA 2008, 5th International Conference, Lexington, KY, USA, September 14-18, 2008, Proceedings. Lecture Notes in Computer Science 5203, Springer 2008, ISBN 978-3-540-85911-6 [contents] - 2007
- [j35]Wilfried Meidl, Arne Winterhof:
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions. Finite Fields Their Appl. 13(3): 628-634 (2007) - [j34]Igor E. Shparlinski, Arne Winterhof:
Quantum period reconstruction of approximate sequences. Inf. Process. Lett. 103(6): 211-215 (2007) - [j33]Hassan Aly, Wilfried Meidl, Arne Winterhof:
On the k-error linear complexity of cyclotomic sequences. J. Math. Cryptol. 1(3): 283-296 (2007) - [c11]Harald Niederreiter, Arne Winterhof:
On the Structure of Inversive Pseudorandom Number Generators. AAECC 2007: 208-216 - 2006
- [j32]Igor E. Shparlinski, Arne Winterhof:
On the nonlinearity of linear recurrence sequences. Appl. Math. Lett. 19(4): 340-344 (2006) - [j31]Eike Kiltz, Arne Winterhof:
Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem. Discret. Appl. Math. 154(2): 326-336 (2006) - [j30]Wilfried Meidl, Arne Winterhof:
Some Notes on the Linear Complexity of Sidel'nikov-Lempel-Cohn-Eastman Sequences. Des. Codes Cryptogr. 38(2): 159-178 (2006) - [j29]Hassan Aly, Arne Winterhof:
On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials. Des. Codes Cryptogr. 39(2): 155-162 (2006) - [j28]Hassan Aly, Arne Winterhof:
On the k-error linear complexity over \mathbbFp of Legendre and Sidelnikov sequences. Des. Codes Cryptogr. 40(3): 369-374 (2006) - [j27]Hassan Aly, Arne Winterhof:
Polynomial representations of the Lucas logarithm. Finite Fields Their Appl. 12(3): 413-424 (2006) - [j26]Nina Brandstätter, Arne Winterhof:
Linear complexity profile of binary sequences with small correlation measure. Period. Math. Hung. 52(2): 1-8 (2006) - [j25]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): 3299-3304 (2006) - [c10]Florina Piroi, Arne Winterhof:
Quantum Period Reconstruction of Binary Sequences. AAECC 2006: 60-67 - [c9]Igor E. Shparlinski, Arne Winterhof:
Constructions of Approximately Mutually Unbiased Bases. LATIN 2006: 793-799 - [c8]Igor E. Shparlinski, Arne Winterhof:
On the Discrepancy and Linear Complexity of Some Counter-Dependent Recurrence Sequences. SETA 2006: 295-303 - 2005
- [j24]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): 219-228 (2005) - [j23]Igor E. Shparlinski, Arne Winterhof:
Noisy interpolation of sparse polynomials in finite fields. Appl. Algebra Eng. Commun. Comput. 16(5): 307-317 (2005) - [j22]Harald Niederreiter, Arne Winterhof:
Cyclotomic R-orthomorphisms of finite fields. Discret. Math. 295(1-3): 161-171 (2005) - [j21]Igor E. Shparlinski, Arne Winterhof:
On the linear complexity of bounded integer sequences over different moduli. Inf. Process. Lett. 96(5): 175-177 (2005) - [j20]Wilfried Meidl, Arne Winterhof:
On the joint linear complexity profile of explicit inversive multisequences. J. Complex. 21(3): 324-336 (2005) - [j19]Igor E. Shparlinski, Arne Winterhof:
A hidden number problem in small subgroups. Math. Comput. 74(252): 2073-2080 (2005) - [j18]Nina Brandstätter, Arne Winterhof:
Some notes on the two-prime generator of order 2. IEEE Trans. Inf. Theory 51(10): 3654-3657 (2005) - [c7]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: 135-143 - [c6]Clemens Adelmann, Arne Winterhof:
Interpolation of Functions Related to the Integer Factoring Problem. WCC 2005: 144-154 - 2004
- [j17]Gerhard Dorfer, Wilfried Meidl, Arne Winterhof:
Counting functions and expected values for the lattice profile at n. Finite Fields Their Appl. 10(4): 636-652 (2004) - [j16]Wilfried Meidl, Arne Winterhof:
On the linear complexity profile of some new explicit inversive pseudorandom numbers. J. Complex. 20(2-3): 350-355 (2004) - [c5]Igor E. Shparlinski, Arne Winterhof:
A Nonuniform Algorithm for the Hidden Number Problem in Subgroups. Public Key Cryptography 2004: 416-424 - [c4]Harald Niederreiter, Arne Winterhof:
On the Distribution of Some New Explicit Nonlinear Congruential Pseudorandom Numbers. SETA 2004: 266-274 - 2003
- [j15]Gerhard Dorfer, Arne Winterhof:
Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators. Appl. Algebra Eng. Commun. Comput. 13(6): 499-508 (2003) - [j14]Tanja Lange, Arne Winterhof:
Interpolation of the Discrete Logarithm in Fq by Boolean Functions and by Polynomials in Several Variables Modulo a Divisor of Q-1. Discret. Appl. Math. 128(1): 193-206 (2003) - [j13]Wilfried Meidl, Arne Winterhof:
On the linear complexity profile of explicit nonlinear pseudorandom numbers. Inf. Process. Lett. 85(1): 13-18 (2003) - [j12]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): 60-64 (2003) - [c3]Tanja Lange, Arne Winterhof:
Interpolation of the Elliptic Curve Diffie-Hellman Mapping. AAECC 2003: 51-60 - [c2]Wilfried Meidl, Arne Winterhof:
On the Autocorrelation of Cyclotomic Generators. International Conference on Finite Fields and Applications 2003: 1-11 - [i1]Igor E. Shparlinski, Arne Winterhof:
Hidden Number Problem in Small Subgroups. IACR Cryptol. ePrint Arch. 2003: 49 (2003) - 2002
- [j11]Wilfried Meidl, Arne Winterhof:
A Polynomial Representation of the Diffie-Hellman Mapping. Appl. Algebra Eng. Commun. Comput. 13(4): 313-318 (2002) - [j10]Harald Niederreiter, Arne Winterhof:
Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers. Appl. Algebra Eng. Commun. Comput. 13(4): 319-326 (2002) - [j9]Arne Winterhof:
On the Non-Existence of (g, g\lambda-1;lambda)-Difference matrices. Ars Comb. 64: 265- (2002) - [j8]Bruno Codenotti, Igor E. Shparlinski, Arne Winterhof:
On the hardness of approximating the permanent of structured matrices. Comput. Complex. 11(3-4): 158-170 (2002) - [j7]Arne Winterhof:
Polynomial Interpolation of the Discrete Logarithm. Des. Codes Cryptogr. 25(1): 63-72 (2002) - [c1]Tanja Lange, Arne Winterhof:
Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm. COCOON 2002: 137-143 - 2001
- [j6]Harald Niederreiter, Arne Winterhof:
On the Lattice Structure of Pseudorandom Numbers Generated over Arbitrary Finite Fields. Appl. Algebra Eng. Commun. Comput. 12(3): 265-272 (2001) - [j5]Arne Winterhof:
Some Estimates for Character Sums and Applications. Des. Codes Cryptogr. 22(2): 123-131 (2001) - [j4]Tanja Lange, Arne Winterhof:
Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions. Electron. Notes Discret. Math. 6: 498-506 (2001) - [j3]Harald Niederreiter, Arne Winterhof:
On a new class of inversive pseudorandom numbers for parallelized simulation methods. Period. Math. Hung. 42(1-2): 77-87 (2001) - [j2]Wilfried Meidl, Arne Winterhof:
Lower bounds on the linear complexity of the discrete logarithm in finite fields. IEEE Trans. Inf. Theory 47(7): 2807-2811 (2001) - 2000
- [j1]Tanja Lange, Arne Winterhof:
Factoring polynomials over arbitrary finite fields. Theor. Comput. Sci. 234(1-2): 301-308 (2000)
Coauthor Index
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