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Winterhof, Arne

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 Author ID: winterhof.arne Published as: Winterhof, Arne; Winterhof, A. Homepage: https://www.ricam.oeaw.ac.at/people/page.cgi?firstn=Arne;lastn=Winterhof External Links: MGP · ResearchGate · dblp
 Documents Indexed: 157 Publications since 1995, including 2 Books 7 Contributions as Editor 1 Further Contribution Reviewing Activity: 122 Reviews
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Co-Authors

 23 single-authored 24 Shparlinski, Igor E. 19 Niederreiter, Harald 13 Meidl, Wilfried 9 Lange, Tanja 8 Brandstätter, Nina 8 Chen, Zhixiong 7 Mérai, László 6 Aly, Hassan Y. 6 Ostafe, Alina 6 Pillichshammer, Friedrich 5 Gómez, Domingo 5 Höfer, Richard M. 4 Pirsic, Isabel 3 Dorfer, Gerhard 3 El-Mahassni, Edwin D. 3 Panario, Daniel 3 Pott, Alexander 3 Schmidt, Kai-Uwe 3 Su, Ming 3 Topuzoǧlu, Alev 2 Charpin, Pascale 2 Garaev, Moubariz Z. 2 Gomez-Perez, Domingo 2 Gutierrez, Jaime 2 Ibeas, Álvar 2 Işık, Leyla 2 Kiltz, Eike 2 Kritzer, Peter 2 Larcher, Gerhard 2 Leobacher, Gunther 2 Roche-Newton, Oliver 2 Rötteler, Martin 2 Wang, Qiang (Steven) 2 Warren, Audie 2 Xing, Chaoping 2 Yayla, Oğuz 1 Adelmann, Clemens 1 Ahmadi, Omran 1 Balasuriya, Sanka 1 Ball, L. Simeon 1 Bernstein, Daniel Julius 1 Blache, Régis 1 Blake, Ian F. 1 Blokhuis, Aart 1 Buckwar, Evelyn 1 Carlet, Claude 1 Castro, Francis Noel 1 Çeşmelioğlu, Ayça 1 Chand Gupta, Kishan 1 Cioabă, Sebastian M. 1 Codenotti, Bruno 1 Cohen, Stephen D. 1 Colbourn, Charles J. 1 Coulter, Robert S. 1 Dartyge, Cécile 1 de Smit, Bart 1 Dick, Josef 1 Ding, Jintai 1 Dinitz, Jeffrey H. 1 Doche, Christophe 1 Drmota, Michael 1 Dumas, Jean-Guillaume 1 Ebert, Gary Lee 1 Effinger, Gove W. 1 Enge, Andreas 1 Evans, Ronald J. 1 Fan, Haining 1 Fitzgerald, Robert W. 1 Fried, Michael David 1 Fu, Lei 1 Gao, Shuhong 1 Garcia, Arnaldo 1 Giesbrecht, Mark W. 1 Golomb, Solomon Wolf 1 Gong, Guang 1 Goss, David 1 Gow, Roderick 1 Grabner, Peter J. 1 Hachenberger, Dirk 1 Hasan, M. Anwar 1 He, Jing Jane 1 Hellekalek, Peter 1 Helleseth, Tor 1 Hinkelmann, Franziska 1 Hirschfeld, James William Peter 1 Hofer, Roswitha 1 Hou, Xiang-Dong 1 Huffman, W. Cary 1 Jacobson, Michael John jun. 1 Jedwab, Jonathan 1 Jungnickel, Dieter 1 Kaltofen, Erich L. 1 Khan, Mizan R. 1 Kholosha, Alexander 1 Klappenecker, Andreas 1 Krizer, Peter 1 Kyuregyan, Melsik K. 1 Larchner, Gerhard 1 Laubenbacher, Reinhard C. 1 Lecerf, Grégoire ...and 45 more Co-Authors
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Serials

 11 Designs, Codes and Cryptography 11 Finite Fields and their Applications 10 IEEE Transactions on Information Theory 8 Acta Arithmetica 6 Applicable Algebra in Engineering, Communication and Computing 5 Periodica Mathematica Hungarica 5 Internationale Mathematische Nachrichten 5 Cryptography and Communications 4 Information Processing Letters 4 Journal of Number Theory 4 International Journal of Number Theory 4 Uniform Distribution Theory 4 Radon Series on Computational and Applied Mathematics 3 Monatshefte für Mathematik 3 Journal of Complexity 3 Advances in Mathematics of Communications 2 Bulletin of the Australian Mathematical Society 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Integers 2 Lecture Notes in Computer Science 2 Journal of Mathematical Cryptology 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Ars Combinatoria 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Results in Mathematics 1 Theoretical Computer Science 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Computational Complexity 1 The Ramanujan Journal 1 Annals of Combinatorics 1 JP Journal of Algebra, Number Theory and Applications 1 Mathematics in Computer Science 1 Discrete Mathematics and its Applications
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Fields

 140 Number theory (11-XX) 76 Information and communication theory, circuits (94-XX) 29 Numerical analysis (65-XX) 18 Computer science (68-XX) 11 General and overarching topics; collections (00-XX) 8 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 4 Quantum theory (81-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

130 Publications have been cited 856 times in 321 Documents Cited by Year
Handbook of finite fields. Zbl 1319.11001
2013
Pseudorandom sequences. Zbl 1134.11030
Topuzoğlu, Alev; Winterhof, Arne
2007
Linear complexity and related complexity measures. Zbl 1213.94139
Winterhof, Arne
2010
Some estimates for character sums and applications. Zbl 0995.11067
Winterhof, Arne
2001
Multiplicative character sums of Fermat quotients and pseudorandom sequences. Zbl 1263.11110
Gomez, Domingo; Winterhof, Arne
2012
Linear complexity profile of binary sequences with small correlation measure. Zbl 1127.11050
Brandstätter, N.; Winterhof, A.
2006
Structure of pseudorandom numbers derived from Fermat quotients. Zbl 1230.11092
Chen, Zhixiong; Ostafe, Alina; Winterhof, Arne
2010
Cyclotomic $$\mathcal R$$-orthomorphisms of finite fields. Zbl 1078.11068
Niederreiter, Harald; Winterhof, Arne
2005
Some notes on the two-prime generator of order 2. Zbl 1282.94026
Brandstätter, Nina; Winterhof, Arne
2005
Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators. Zbl 0969.11040
Niederreiter, Harald; Winterhof, Arne
2000
On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators. Zbl 1063.65005
Gutierrez, Jaime; Shparlinski, Igor E.; Winterhof, Arne
2003
Lattice structure and linear complexity of nonlinear pseudorandom numbers. Zbl 1033.11038
Niederreiter, Harald; Winterhof, Arne
2002
Lattice structure and linear complexity profile of nonlinear pseudorandom number generators. Zbl 1026.11064
Dorfer, Gerhard; Winterhof, Arne
2003
Exponential sums for nonlinear recurring sequences. Zbl 1231.11096
Niederreiter, Harald; Winterhof, Arne
2008
On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states. Zbl 1110.81028
Klappenecker, Andreas; Rötteler, Martin; Shparlinski, Igor E.; Winterhof, Arne
2005
On the $$k$$-error linear complexity over $${\mathbb F}_p$$ of Legendre and Sidelnikov sequences. Zbl 1205.94069
Aly, Hassan; Winterhof, Arne
2006
On the joint linear complexity profile of explicit inversive multisequences. Zbl 1094.94023
Meidl, Wilfried; Winterhof, Arne
2005
Counting functions and expected values for the lattice profile at $$n$$. Zbl 1077.11056
Dorfer, Gerhard; Meidl, Wilfried; Winterhof, Arne
2004
On the distribution of powers in finite fields. Zbl 0910.11055
Winterhof, Arne
1998
On the non-existence of generalized Hadamard matrices. Zbl 0958.05014
Winterhof, Arne
2000
On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients. Zbl 1315.11070
Chen, Zhixiong; Winterhof, Arne
2012
On the lower bound of the linear complexity over $$\mathbb F_p$$ of Sidelnikov sequences. Zbl 1296.94073
Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor; Winterhof, Arne
2006
Polynomial interpolation of the discrete logarithm. Zbl 1008.94015
Winterhof, Arne
2002
Lattice structure of nonlinear pseudorandom number generators in parts of the period. Zbl 1043.65007
Dorfer, Gerhard; Winterhof, Arne
2004
Permutations of finite fields for check digit systems. Zbl 1248.11100
Shaheen, Rasha; Winterhof, Arne
2010
On the linear complexity profile of some new explicit inversive pseudorandom numbers. Zbl 1045.94011
Meidl, Wilfried; Winterhof, Arne
2004
Multiplicative character sums for nonlinear recurring sequences. Zbl 1046.11088
Niederreiter, Harald; Winterhof, Arne
2004
Additive character sums of polynomial quotients. Zbl 1306.11096
Chen, Zhixiong; Winterhof, Arne
2012
On the linear complexity profile of explicit nonlinear pseudorandom numbers. Zbl 1042.68053
Meidl, Wilfried; Winterhof, Arne
2003
Interpolation of the discrete logarithm in $$\mathbb{F}_{q}$$ by Boolean functions and by polynomials in several variables modulo a divisor of $$q-1$$. Zbl 1039.94007
Lange, Tanja; Winterhof, Arne
2003
Generalizations of complete mappings of finite fields and some applications. Zbl 1332.11107
Winterhof, Arne
2014
Applied number theory. Zbl 1328.11001
Niederreiter, Harald; Winterhof, Arne
2015
Linear complexity profile of $$m$$-ary pseudorandom sequences with small correlation measure. Zbl 1237.11034
Chen, Zhixiong; Winterhof, Arne
2009
On the autocorrelation of cyclotomic generators. Zbl 1089.11067
Meidl, Wilfried; Winterhof, Arne
2004
A note on the linear complexity profile of the discrete logarithm in finite fields. Zbl 1063.11052
Winterhof, Arne
2004
Recent results on recursive nonlinear pseudorandom number generators (invited paper). Zbl 1256.11043
Winterhof, Arne
2010
On the $$k$$-error linear complexity of cyclotomic sequences. Zbl 1147.11065
Aly, Hassan; Meidl, Wilfried; Winterhof, Arne
2007
Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem. Zbl 1092.94024
Kiltz, Eike; Winterhof, Arne
2006
Some notes on the linear complexity of Sidel’nikov-Lempel-Cohn-Eastman sequences. Zbl 1146.94005
Meidl, Wilfried; Winterhof, Arne
2006
Exponential sums and the distribution of inversive congruential pseudorandom numbers with power of two modulus. Zbl 1084.11042
Niederreiter, Harald; Winterhof, Arne
2005
Boolean functions derived from Fermat quotients. Zbl 1235.06014
Aly, Hassan; Winterhof, Arne
2011
Incomplete additive character sums and applications. Zbl 1019.11034
Winterhof, Arne
2001
Interpolation of Fermat quotients. Zbl 1305.11002
Chen, Zhixiong; Winterhof, Arne
2014
On the distribution of compound inversive congruential pseudorandom numbers. Zbl 0983.11047
Niederreiter, Harald; Winterhof, Arne
2001
Lower bounds on the linear complexity of the discrete logarithm in finite fields. Zbl 1032.94004
Meidl, Wilfried; Winterhof, Arne
2001
Expansion complexity and linear complexity of sequences over finite fields. Zbl 1409.94855
Mérai, László; Niederreiter, Harald; Winterhof, Arne
2017
On Waring’s problem in finite fields. Zbl 0924.11083
Winterhof, Arne
1998
Distribution of values of polynomial Fermat quotients. Zbl 1305.11104
Shparlinski, Igor E.; Winterhof, Arne
2013
Complete mappings and Carlitz rank. Zbl 1408.11115
Işık, Leyla; Topuzoğlu, Alev; Winterhof, Arne
2017
A hidden number problem in small subgroups. Zbl 1072.11092
Shparlinski, Igor; Winterhof, Arne
2005
On the interpolation of bivariate polynomials related to the Diffie-Hellman mapping. Zbl 1070.11055
Kiltz, Eike; Winterhof, Arne
2004
Measures of pseudorandomness for binary sequences constructed using finite fields. Zbl 1178.11054
Sárközy, András; Winterhof, Arne
2009
On the lattice structure of pseudorandom numbers generated over arbitrary finite fields. Zbl 0992.11047
Niederreiter, Harald; Winterhof, Arne
2001
Incomplete character sums over finite fields and their application to the interpolation of the discrete logarithm by Boolean functions. Zbl 0998.11070
Lange, Tanja; Winterhof, Arne
2002
A note on the interpolation of the Diffie-Hellman mapping. Zbl 0997.11108
Winterhof, Arne
2001
A polynomial representation of the Diffie-Hellman mapping. Zbl 1013.94012
Meidl, Wilfried; Winterhof, Arne
2002
Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions. Zbl 1136.11075
Gutierrez, Jaime; Winterhof, Arne
2008
Incomplete character sums and polynomial interpolation of the discrete logarithm. Zbl 1017.11065
Niederreiter, Harald; Winterhof, Arne
2002
Polynomial interpolation of the elliptic curve and XTR discrete logarithm. Zbl 1077.94518
Lange, Tanja; Winterhof, Arne
2002
Exact solutions to Waring’s problem for finite fields. Zbl 1206.11121
Winterhof, Arne; van de Woestijne, Christiaan
2010
Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1338.11074
Niederreiter, Harald; Winterhof, Arne
2011
Constructions of approximately mutually unbiased bases. Zbl 1145.11315
Shparlinski, Igor E.; Winterhof, Arne
2006
Visible points on multidimensional modular hyperbolas. Zbl 1204.11006
Shparlinski, Igor E.; Winterhof, Arne
2008
A note on Waring’s problem in finite fields. Zbl 1115.11315
Winterhof, Arne
2001
On the structure of digital explicit nonlinear and inversive pseudorandom number generators. Zbl 1186.65008
Pirsic, Gottlieb; Winterhof, Arne
2010
On a new class of inversive pseudorandom numbers for parallelized simulation methods. Zbl 0980.11033
Niederreiter, Harald; Winterhof, Arne
2001
Interpolation of the elliptic curve Diffie-Hellman mapping. Zbl 1030.11071
Lange, Tanja; Winterhof, Arne
2003
Waring’s problem in finite fields with Dickson polynomials. Zbl 1217.11087
Gomez, Domingo; Winterhof, Arne
2010
On the number of distances between the coordinates of points on modular hyperbolas. Zbl 1137.11063
Shparlinski, Igor E.; Winterhof, Arne
2008
On the structure of inversive pseudorandom number generators. Zbl 1143.11340
Niederreiter, Harald; Winterhof, Arne
2007
Noisy interpolation of sparse polynomials in finite fields. Zbl 1131.11077
Shparlinski, Igor; Winterhof, Arne
2005
On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. Zbl 1215.65009
Ostafe, Alina; Shparlinski, Igor E.; Winterhof, Arne
2010
On the pseudorandomness of binary and quaternary sequences linked by the Gray mapping. Zbl 1218.11073
Marzouk, Radwa; Winterhof, Arne
2010
A nonuniform algorithm for the hidden number problem in subgroups. Zbl 1198.11087
Shparlinski, Igor E.; Winterhof, Arne
2004
Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Zbl 1291.11003
2014
On the distribution of nonlinear congruential pseudorandom numbers in residue rings. Zbl 1125.11044
El-Mahassni, Edwin D.; Winterhof, Arne
2006
Subsequences of Sidelnikov sequences. Zbl 1172.94006
Brandstätter, Nina; Winterhof, Arne
2008
Interpolation of the double discrete logarithm. Zbl 1202.94192
Meletiou, Gerasimos C.; Winterhof, Arne
2008
On the distribution of some new explicit nonlinear congruential pseudorandom numbers. Zbl 1145.11319
Niederreiter, Harald; Winterhof, Arne
2005
On the distribution of some new explicit inverse pseudorandom numbers and vectors. Zbl 1099.65009
Winterhof, Arne
2006
Distribution of nonlinear congruential pseudorandom numbers modulo almost squarefree integers. Zbl 1105.11023
El-Mahassni, Edwin D.; Shparlinski, Igor E.; Winterhof, Arne
2006
On the non-linearity and sparsity of Boolean functions related to the discrete logarithm in finite fields of characteristic two. Zbl 1151.94487
Brandstätter, Nina; Lange, Tanja; Winterhof, Arne
2006
$$k$$-error linear complexity over $$\mathbb F_p$$ of subsequences of Sidelnikov sequences of period $$(p^{r} - 1)/3$$. Zbl 1185.94041
Brandstätter, Nina; Winterhof, Arne
2009
Distribution of digital explicit inversive pseudorandom numbers and their binary threshold sequence. Zbl 1228.11120
Chen, Zhixiong; Gomez, Domingo; Winterhof, Arne
2009
On the nonlinearity of linear recurrence sequences. Zbl 1139.11054
Shparlinski, Igor E.; Winterhof, Arne
2006
On the arithmetic autocorrelation of the Legendre sequence. Zbl 1357.94055
Hofer, Richard; Winterhof, Arne
2017
On the average distribution of power residues and primitive elements in inversive and nonlinear recurring sequences. Zbl 1206.11147
Çeşmelioğlu, Ayça; Winterhof, Arne
2008
Autocorrelation of Legendre-Sidelnikov sequences. Zbl 1366.94455
Su, Ming; Winterhof, Arne
2010
On the linear complexity profile of some sequences derived from elliptic curves. Zbl 1383.94010
Mérai, László; Winterhof, Arne
2016
Linear complexity and polynomial degree of a function over a finite field. Zbl 1053.11089
Meidl, Wilfried; Winterhof, Arne
2002
Correlation of the two-prime Sidel’nikov sequence. Zbl 1221.11167
Brandstätter, Nina; Pirsic, Gottlieb; Winterhof, Arne
2011
On the 2-adic complexity of the two-prime generator. Zbl 1401.94129
Hofer, Richard; Winterhof, Arne
2018
On the hardness of approximating the permanent of structured matrices. Zbl 1048.15006
Codenotti, Bruno; Shparlinski, Igor E.; Winterhof, Arne
2002
Character sums, primitive elements, and powers in finite fields. Zbl 1008.11069
Winterhof, Arne
2001
Polynomial representations of the Lucas logarithm. Zbl 1111.11054
Aly, Hassan; Winterhof, Arne
2006
On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders. Zbl 1114.11066
Topuzoğlu, Alev; Winterhof, Arne
2005
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions. Zbl 1124.11038
Meidl, Wilfried; Winterhof, Arne
2007
On the distribution and linear complexity of counter-dependent nonlinear congruential pseudorandom number generators. Zbl 1120.11033
El-Mahassni, Edwin D.; Winterhof, Arne
2006
On the linear complexity of bounded integer sequences over different moduli. Zbl 1191.68287
Shparlinski, Igor E.; Winterhof, Arne
2005
On the pseudorandomness of quaternary sequences derived from sequences over $$\mathbb{F}_4$$. Zbl 1399.11057
Su, M.; Winterhof, A.
2017
Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions. Zbl 07066612
Roche-Newton, Oliver; Shparlinski, Igor E.; Winterhof, Arne
2019
Conical Kakeya and Nikodym sets in finite fields. Zbl 1434.52019
Warren, Audie; Winterhof, Arne
2019
On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence. Zbl 1472.11089
Sun, Zhimin; Winterhof, Arne
2019
On the 2-adic complexity of the two-prime generator. Zbl 1401.94129
Hofer, Richard; Winterhof, Arne
2018
On the $$N$$th linear complexity of automatic sequences. Zbl 1416.11042
Mérai, László; Winterhof, Arne
2018
Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices. Zbl 1419.94029
Winterhof, Arne; Yayla, Oğuz; Ziegler, Volker
2018
Carlitz rank and index of permutation polynomials. Zbl 1430.11157
Işık, Leyla; Winterhof, Arne
2018
Packing sets over finite abelian groups. Zbl 1446.11022
Roche-Newton, Oliver; Shkredov, Ilya D.; Winterhof, Arne
2018
Expansion complexity and linear complexity of sequences over finite fields. Zbl 1409.94855
Mérai, László; Niederreiter, Harald; Winterhof, Arne
2017
Complete mappings and Carlitz rank. Zbl 1408.11115
Işık, Leyla; Topuzoğlu, Alev; Winterhof, Arne
2017
On the arithmetic autocorrelation of the Legendre sequence. Zbl 1357.94055
Hofer, Richard; Winterhof, Arne
2017
On the pseudorandomness of quaternary sequences derived from sequences over $$\mathbb{F}_4$$. Zbl 1399.11057
Su, M.; Winterhof, A.
2017
Digital inversive vectors can achieve polynomial tractability for the weighted star discrepancy and for multivariate integration. Zbl 1428.11136
Dick, Josef; Gomez-Perez, Domingo; Pillichshammer, Friedrich; Winterhof, Arne
2017
On the linear complexity profile of some sequences derived from elliptic curves. Zbl 1383.94010
Mérai, László; Winterhof, Arne
2016
Family complexity and cross-correlation measure for families of binary sequences. Zbl 1414.11089
Winterhof, Arne; Yayla, Oğuz
2016
Linear complexity and expansion complexity of some number theoretic sequences. Zbl 1409.11138
Hofer, Richard; Winterhof, Arne
2016
Applied number theory. Zbl 1328.11001
Niederreiter, Harald; Winterhof, Arne
2015
Linear complexity profile and correlation measure of interleaved sequences. Zbl 1343.94033
He, Jing Jane; Panario, Daniel; Wang, Qiang; Winterhof, Arne
2015
Generalizations of complete mappings of finite fields and some applications. Zbl 1332.11107
Winterhof, Arne
2014
Interpolation of Fermat quotients. Zbl 1305.11002
Chen, Zhixiong; Winterhof, Arne
2014
Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Zbl 1291.11003
2014
Covering sets for limited-magnitude errors. Zbl 1360.11026
Chen, Zhixiong; Shparlinski, Igor E.; Winterhof, Arne
2014
On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. Zbl 1335.94024
Pirsic, Gottlieb Isabel; Winterhof, Arne
2014
Handbook of finite fields. Zbl 1319.11001
2013
Distribution of values of polynomial Fermat quotients. Zbl 1305.11104
Shparlinski, Igor E.; Winterhof, Arne
2013
Finite fields and their applications. Character sums and polynomials. Based on the invited talks of the RICAM-workshop, Strobl, Austria, September 2–7, 2012. Zbl 1270.11001
2013
Addendum to Sidel’nikov sequences over nonprime fields. Zbl 1287.11139
Brandstätter, Nina; Meidl, Wilfried; Winterhof, Arne
2013
Multiplicative character sums of Fermat quotients and pseudorandom sequences. Zbl 1263.11110
Gomez, Domingo; Winterhof, Arne
2012
On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients. Zbl 1315.11070
Chen, Zhixiong; Winterhof, Arne
2012
Additive character sums of polynomial quotients. Zbl 1306.11096
Chen, Zhixiong; Winterhof, Arne
2012
On the Waring problem with multivariate Dickson polynomials. Zbl 1294.11171
Ostafe, Alina; Thomson, David; Winterhof, Arne
2012
Topics related to character sums. Zbl 1280.11080
Winterhof, Arne
2012
Boolean functions derived from Fermat quotients. Zbl 1235.06014
Aly, Hassan; Winterhof, Arne
2011
Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1338.11074
Niederreiter, Harald; Winterhof, Arne
2011
Correlation of the two-prime Sidel’nikov sequence. Zbl 1221.11167
Brandstätter, Nina; Pirsic, Gottlieb; Winterhof, Arne
2011
Multiplicative character sums of a class of nonlinear recurrence vector sequences. Zbl 1247.11107
Ostafe, Alina; Shparlinski, Igor E.; Winterhof, Arne
2011
Linear complexity and related complexity measures. Zbl 1213.94139
Winterhof, Arne
2010
Structure of pseudorandom numbers derived from Fermat quotients. Zbl 1230.11092
Chen, Zhixiong; Ostafe, Alina; Winterhof, Arne
2010
Permutations of finite fields for check digit systems. Zbl 1248.11100
Shaheen, Rasha; Winterhof, Arne
2010
Recent results on recursive nonlinear pseudorandom number generators (invited paper). Zbl 1256.11043
Winterhof, Arne
2010
Exact solutions to Waring’s problem for finite fields. Zbl 1206.11121
Winterhof, Arne; van de Woestijne, Christiaan
2010
On the structure of digital explicit nonlinear and inversive pseudorandom number generators. Zbl 1186.65008
Pirsic, Gottlieb; Winterhof, Arne
2010
Waring’s problem in finite fields with Dickson polynomials. Zbl 1217.11087
Gomez, Domingo; Winterhof, Arne
2010
On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. Zbl 1215.65009
Ostafe, Alina; Shparlinski, Igor E.; Winterhof, Arne
2010
On the pseudorandomness of binary and quaternary sequences linked by the Gray mapping. Zbl 1218.11073
Marzouk, Radwa; Winterhof, Arne
2010
Autocorrelation of Legendre-Sidelnikov sequences. Zbl 1366.94455
Su, Ming; Winterhof, Arne
2010
Partitions into two Lehmer numbers. Zbl 1223.11119
Shparlinski, Igor E.; Winterhof, Arne
2010
Exponential sums and linear complexity of nonlinear pseudorandom number generators with polynomials of small $$p$$-weight degree. Zbl 1249.11081
Ibeas, Álvar; Winterhof, Arne
2010
Linear complexity profile of $$m$$-ary pseudorandom sequences with small correlation measure. Zbl 1237.11034
Chen, Zhixiong; Winterhof, Arne
2009
Measures of pseudorandomness for binary sequences constructed using finite fields. Zbl 1178.11054
Sárközy, András; Winterhof, Arne
2009
$$k$$-error linear complexity over $$\mathbb F_p$$ of subsequences of Sidelnikov sequences of period $$(p^{r} - 1)/3$$. Zbl 1185.94041
Brandstätter, Nina; Winterhof, Arne
2009
Distribution of digital explicit inversive pseudorandom numbers and their binary threshold sequence. Zbl 1228.11120
Chen, Zhixiong; Gomez, Domingo; Winterhof, Arne
2009
Noisy interpolation of multivariate sparse polynomials in finite fields. Zbl 1273.11170
Ibeas, Álvar; Winterhof, Arne
2009
An average bound for character sums with some counter-dependent recurrence sequences. Zbl 1181.11052
Balasuriya, Sanka; Shparlinski, Igor E.; Winterhof, Arne
2009
Exponential sums for nonlinear recurring sequences. Zbl 1231.11096
Niederreiter, Harald; Winterhof, Arne
2008
Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions. Zbl 1136.11075
Gutierrez, Jaime; Winterhof, Arne
2008
Visible points on multidimensional modular hyperbolas. Zbl 1204.11006
Shparlinski, Igor E.; Winterhof, Arne
2008
On the number of distances between the coordinates of points on modular hyperbolas. Zbl 1137.11063
Shparlinski, Igor E.; Winterhof, Arne
2008
Subsequences of Sidelnikov sequences. Zbl 1172.94006
Brandstätter, Nina; Winterhof, Arne
2008
Interpolation of the double discrete logarithm. Zbl 1202.94192
Meletiou, Gerasimos C.; Winterhof, Arne
2008
On the average distribution of power residues and primitive elements in inversive and nonlinear recurring sequences. Zbl 1206.11147
Çeşmelioğlu, Ayça; Winterhof, Arne
2008
Multiplicative character sums of recurring sequences with Rédei functions. Zbl 1206.11148
Gomez, Domingo; Winterhof, Arne
2008
Pseudorandom sequences. Zbl 1134.11030
Topuzoğlu, Alev; Winterhof, Arne
2007
On the $$k$$-error linear complexity of cyclotomic sequences. Zbl 1147.11065
Aly, Hassan; Meidl, Wilfried; Winterhof, Arne
2007
On the structure of inversive pseudorandom number generators. Zbl 1143.11340
Niederreiter, Harald; Winterhof, Arne
2007
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions. Zbl 1124.11038
Meidl, Wilfried; Winterhof, Arne
2007
Linear complexity profile of binary sequences with small correlation measure. Zbl 1127.11050
Brandstätter, N.; Winterhof, A.
2006
On the $$k$$-error linear complexity over $${\mathbb F}_p$$ of Legendre and Sidelnikov sequences. Zbl 1205.94069
Aly, Hassan; Winterhof, Arne
2006
On the lower bound of the linear complexity over $$\mathbb F_p$$ of Sidelnikov sequences. Zbl 1296.94073
Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor; Winterhof, Arne
2006
Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem. Zbl 1092.94024
Kiltz, Eike; Winterhof, Arne
2006
Some notes on the linear complexity of Sidel’nikov-Lempel-Cohn-Eastman sequences. Zbl 1146.94005
Meidl, Wilfried; Winterhof, Arne
2006
Constructions of approximately mutually unbiased bases. Zbl 1145.11315
Shparlinski, Igor E.; Winterhof, Arne
2006
On the distribution of nonlinear congruential pseudorandom numbers in residue rings. Zbl 1125.11044
El-Mahassni, Edwin D.; Winterhof, Arne
2006
On the distribution of some new explicit inverse pseudorandom numbers and vectors. Zbl 1099.65009
Winterhof, Arne
2006
Distribution of nonlinear congruential pseudorandom numbers modulo almost squarefree integers. Zbl 1105.11023
El-Mahassni, Edwin D.; Shparlinski, Igor E.; Winterhof, Arne
2006
On the non-linearity and sparsity of Boolean functions related to the discrete logarithm in finite fields of characteristic two. Zbl 1151.94487
Brandstätter, Nina; Lange, Tanja; Winterhof, Arne
2006
On the nonlinearity of linear recurrence sequences. Zbl 1139.11054
Shparlinski, Igor E.; Winterhof, Arne
2006
Polynomial representations of the Lucas logarithm. Zbl 1111.11054
Aly, Hassan; Winterhof, Arne
2006
On the distribution and linear complexity of counter-dependent nonlinear congruential pseudorandom number generators. Zbl 1120.11033
El-Mahassni, Edwin D.; Winterhof, Arne
2006
On the discrepancy and linear complexity of some counter-dependent recurrence sequences. Zbl 1152.94394
Shparlinski, Igor E.; Winterhof, Arne
2006
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Dickson polynomials. Zbl 1172.11305
Aly, Hassan; Winterhof, Arne
2006
Quantum period reconstruction of binary sequences. Zbl 1125.94010
Piroi, Florina; Winterhof, Arne
2006
Interpolation of functions related to the integer factoring problem. Zbl 1151.94471
Adelmann, Clemens; Winterhof, Arne
2006
Cyclotomic $$\mathcal R$$-orthomorphisms of finite fields. Zbl 1078.11068
Niederreiter, Harald; Winterhof, Arne
2005
Some notes on the two-prime generator of order 2. Zbl 1282.94026
Brandstätter, Nina; Winterhof, Arne
2005
On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states. Zbl 1110.81028
Klappenecker, Andreas; Rötteler, Martin; Shparlinski, Igor E.; Winterhof, Arne
2005
On the joint linear complexity profile of explicit inversive multisequences. Zbl 1094.94023
Meidl, Wilfried; Winterhof, Arne
2005
Exponential sums and the distribution of inversive congruential pseudorandom numbers with power of two modulus. Zbl 1084.11042
Niederreiter, Harald; Winterhof, Arne
2005
A hidden number problem in small subgroups. Zbl 1072.11092
Shparlinski, Igor; Winterhof, Arne
2005
Noisy interpolation of sparse polynomials in finite fields. Zbl 1131.11077
Shparlinski, Igor; Winterhof, Arne
2005
On the distribution of some new explicit nonlinear congruential pseudorandom numbers. Zbl 1145.11319
Niederreiter, Harald; Winterhof, Arne
2005
On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders. Zbl 1114.11066
Topuzoğlu, Alev; Winterhof, Arne
2005
On the linear complexity of bounded integer sequences over different moduli. Zbl 1191.68287
Shparlinski, Igor E.; Winterhof, Arne
2005
Counting functions and expected values for the lattice profile at $$n$$. Zbl 1077.11056
Dorfer, Gerhard; Meidl, Wilfried; Winterhof, Arne
2004
Lattice structure of nonlinear pseudorandom number generators in parts of the period. Zbl 1043.65007
Dorfer, Gerhard; Winterhof, Arne
2004
On the linear complexity profile of some new explicit inversive pseudorandom numbers. Zbl 1045.94011
Meidl, Wilfried; Winterhof, Arne
2004
Multiplicative character sums for nonlinear recurring sequences. Zbl 1046.11088
Niederreiter, Harald; Winterhof, Arne
2004
On the autocorrelation of cyclotomic generators. Zbl 1089.11067
Meidl, Wilfried; Winterhof, Arne
2004
A note on the linear complexity profile of the discrete logarithm in finite fields. Zbl 1063.11052
Winterhof, Arne
2004
On the interpolation of bivariate polynomials related to the Diffie-Hellman mapping. Zbl 1070.11055
Kiltz, Eike; Winterhof, Arne
2004
...and 30 more Documents
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Cited by 319 Authors

 65 Winterhof, Arne 35 Shparlinski, Igor E. 22 Chen, Zhixiong 17 Mérai, László 17 Niederreiter, Harald 14 Meidl, Wilfried 11 Du, Xiaoni 11 Ostafe, Alina 9 Wang, Qiang (Steven) 8 Sárközy, András 8 Wu, Chenhuang 7 Gomez-Perez, Domingo 7 Topuzoǧlu, Alev 7 Yan, Tongjiang 6 Gyarmati, Katalin 5 Aly, Hassan Y. 5 Ke, Pinhui 5 Mak, Kit-Ho 5 Panario, Daniel 5 Pillichshammer, Friedrich 5 Wang, Qiuyan 5 Yayla, Oğuz 4 Brandstätter, Nina 4 Edemskiĭ, Vladimir Anatol’evich 4 Kamlovskiĭ, Oleg Vital’evich 4 Liu, Huaning 4 Mauduit, Christian 4 Meletiou, Gerasimos C. 4 Pirsic, Isabel 4 Vrahatis, Michael N. 4 Xiao, Guozhen 4 Zaharescu, Alexandru 4 Zeng, Xiangyong 3 Cao, Xiwang 3 Dick, Josef 3 El-Mahassni, Edwin D. 3 Fu, Fangwei 3 Gómez, Domingo 3 Gutierrez, Jaime 3 Laskari, E. C. 3 Lin, Dongdai 3 Mefenza, Thierry 3 Su, Ming 3 Sun, Yuhua 3 Vergnaud, Damien 3 Wang, Liping 2 Banica, Teodor 2 Blackburn, Simon R. 2 Blake, Ian F. 2 Bors, Alexander 2 Chen, Xiaolin 2 Chou, Wunseng 2 Craigen, Robert 2 Dartyge, Cécile 2 Egan, Ronan 2 Feng, Xiutao 2 Folláth, János 2 Gabdullin, Mikhail R. 2 Garefalakis, Theo 2 Höfer, Richard M. 2 Hofer, Roswitha 2 Hu, Lei 2 Işık, Leyla 2 Kiltz, Eike 2 Kritzer, Peter 2 Lange, Tanja 2 Li, Lisha 2 Lin, Zhixing 2 Macourt, Simon 2 Marzouk, Radwa 2 Muratović-Ribić, Amela 2 Ó Catháin, Padraig 2 Pei, Dingyi 2 Qiu, Lu 2 Qureshi, Claudio M. 2 Roche-Newton, Oliver 2 Satoh, Takakazu 2 Schlenker, Jean-Marc 2 Scott, Andrew James 2 Sebők, Richárd 2 Shen, Jian 2 Sun, Zhimin 2 Swaenepoel, Cathy 2 Szöllősi, Ferenc 2 Tasoulis, Dimitris K. 2 Vasin, Anton R. 2 Wan, Daqing 2 Wanless, Ian M. 2 Wu, Dianhua 2 Xu, Chunxiang 2 Yan, Yang 2 Yang, Minghui 2 Yuan, Pingzhi 2 Zheng, Yanbin 1 Ahmadi, Omran 1 Akhtar, Reza 1 Alaca, Şaban 1 Alexandropoulos, Stamatios-Aggelos N. 1 Allouche, Jean-Paul Simon 1 Allsop, Jack ...and 219 more Authors
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Cited in 88 Serials

 43 Finite Fields and their Applications 28 Designs, Codes and Cryptography 16 Cryptography and Communications 15 Journal of Complexity 12 Information Processing Letters 12 Monatshefte für Mathematik 11 Discrete Mathematics 9 Periodica Mathematica Hungarica 9 Mathematics of Computation 9 Applicable Algebra in Engineering, Communication and Computing 9 Advances in Mathematics of Communications 8 Journal of Number Theory 7 Proceedings of the American Mathematical Society 6 Discrete Applied Mathematics 5 Bulletin of the Australian Mathematical Society 5 Journal of Mathematical Physics 5 International Journal of Number Theory 4 Acta Arithmetica 4 Information Sciences 4 Matematicheskie Voprosy Kriptografii 3 Journal of Symbolic Computation 3 International Journal of Foundations of Computer Science 3 Complexity 3 The Ramanujan Journal 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Journal of Mathematical Cryptology 3 Science China. Information Sciences 2 Mathematical Notes 2 Journal of Statistical Planning and Inference 2 European Journal of Combinatorics 2 SIAM Journal on Discrete Mathematics 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics and Computing 1 Communications in Algebra 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Theoretical Computer Science 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Computer Science and Technology 1 Mathematical and Computer Modelling 1 Discrete Mathematics and Applications 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Applied Mathematics. Series B (English Edition) 1 Applicationes Mathematicae 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Open Systems & Information Dynamics 1 Soft Computing 1 Chicago Journal of Theoretical Computer Science 1 Annals of Combinatorics 1 LMS Journal of Computation and Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Integers 1 Nonlinear Analysis. Real World Applications 1 JP Journal of Algebra, Number Theory and Applications 1 Quantum Information Processing 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Sarajevo Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Mathematics in Computer Science 1 Frontiers of Mathematics in China 1 European Journal of Pure and Applied Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Acta Crystallographica. Section A 1 Frontiers of Computer Science in China 1 Research in the Mathematical Sciences 1 Open Mathematics
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Cited in 25 Fields

 238 Number theory (11-XX) 131 Information and communication theory, circuits (94-XX) 50 Numerical analysis (65-XX) 39 Combinatorics (05-XX) 25 Computer science (68-XX) 13 Quantum theory (81-XX) 12 Algebraic geometry (14-XX) 10 Group theory and generalizations (20-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Field theory and polynomials (12-XX) 4 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)