Mérai, László; Shparlinski, Igor E. Distribution of recursive matrix pseudorandom number generator modulo prime powers. (English) Zbl 07810336 Math. Comput. 93, No. 347, 1355-1370 (2024). MSC: 11K38 11K45 11L07 PDFBibTeX XMLCite \textit{L. Mérai} and \textit{I. E. Shparlinski}, Math. Comput. 93, No. 347, 1355--1370 (2024; Zbl 07810336) Full Text: DOI arXiv
Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel Functional graphs of families of quadratic polynomials. (English) Zbl 07689732 Math. Comput. 92, No. 343, 2307-2331 (2023). MSC: 11T06 11T24 11G20 05C25 05C69 PDFBibTeX XMLCite \textit{B. Mans} et al., Math. Comput. 92, No. 343, 2307--2331 (2023; Zbl 07689732) Full Text: DOI arXiv
Mérai, László; Shparlinski, Igor E. Distribution of short subsequences of inversive congruential pseudorandom numbers modulo \(2^t\). (English) Zbl 1439.11186 Math. Comput. 89, No. 322, 911-922 (2020). Reviewer: Arne Winterhof (Linz) MSC: 11K38 11K45 11L07 PDFBibTeX XMLCite \textit{L. Mérai} and \textit{I. E. Shparlinski}, Math. Comput. 89, No. 322, 911--922 (2020; Zbl 1439.11186) Full Text: DOI arXiv
Banks, William D.; Shparlinski, Igor E. On Gauss sums and the evaluation of Stechkin’s constant. (English) Zbl 1339.11078 Math. Comput. 85, No. 301, 2569-2581 (2016). Reviewer: Huaning Liu (Shaanxi) MSC: 11L05 PDFBibTeX XMLCite \textit{W. D. Banks} and \textit{I. E. Shparlinski}, Math. Comput. 85, No. 301, 2569--2581 (2016; Zbl 1339.11078) Full Text: DOI arXiv
Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. Character sums and deterministic polynomial root finding in finite fields. (English) Zbl 1400.11153 Math. Comput. 84, No. 296, 2969-2977 (2015). MSC: 11T06 11Y16 11T23 68Q25 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Math. Comput. 84, No. 296, 2969--2977 (2015; Zbl 1400.11153) Full Text: DOI arXiv
Ling, San; Shparlinski, Igor; Wang, Huaxiong On the multidimensional distribution of the Naor-Reingold pseudo-random function. (English) Zbl 1315.11067 Math. Comput. 83, No. 289, 2429-2434 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11K45 11T23 65C10 94A60 PDFBibTeX XMLCite \textit{S. Ling} et al., Math. Comput. 83, No. 289, 2429--2434 (2014; Zbl 1315.11067) Full Text: DOI
Gómez-Pérez, Domingo; Ostafe, Alina; Shparlinski, Igor Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators. (English) Zbl 1294.11131 Math. Comput. 83, No. 287, 1535-1550 (2014). Reviewer: Huaning Liu (Shaanxi) MSC: 11K45 37A45 11T71 65C10 94A60 PDFBibTeX XMLCite \textit{D. Gómez-Pérez} et al., Math. Comput. 83, No. 287, 1535--1550 (2014; Zbl 1294.11131) Full Text: DOI
Farashahi, Reza R.; Fouque, Pierre-Alain; Shparlinski, Igor E.; Tibouchi, Mehdi; Voloch, J. Felipe Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. (English) Zbl 1312.94048 Math. Comput. 82, No. 281, 491-512 (2013). MSC: 94A60 14G50 11T23 11T71 PDFBibTeX XMLCite \textit{R. R. Farashahi} et al., Math. Comput. 82, No. 281, 491--512 (2013; Zbl 1312.94048) Full Text: DOI
Jiménez-Urroz, Jorge; Luca, Florian; Shparlinski, Igor E. On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves. (English) Zbl 1329.11063 Math. Comput. 81, No. 278, 1093-1110 (2012). MSC: 11G07 14G50 94A60 PDFBibTeX XMLCite \textit{J. Jiménez-Urroz} et al., Math. Comput. 81, No. 278, 1093--1110 (2012; Zbl 1329.11063) Full Text: DOI
Shparlinski, Igor E. On the average distribution of pseudorandom numbers generated by nonlinear permutations. (English) Zbl 1219.11181 Math. Comput. 80, No. 274, 1053-1061 (2011). Reviewer: Arne Winterhof (Linz) MSC: 11T23 11K45 65C10 PDFBibTeX XMLCite \textit{I. E. Shparlinski}, Math. Comput. 80, No. 274, 1053--1061 (2011; Zbl 1219.11181) Full Text: DOI
Ostafe, Alina; Shparlinski, Igor E. On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators. (English) Zbl 1227.11093 Math. Comput. 79, No. 269, 501-511 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11K45 11T23 37A45 37F10 PDFBibTeX XMLCite \textit{A. Ostafe} and \textit{I. E. Shparlinski}, Math. Comput. 79, No. 269, 501--511 (2010; Zbl 1227.11093) Full Text: DOI arXiv
Contini, Scott; Croot, Ernie; Shparlinski, Igor E. Complexity of inverting the Euler function. (English) Zbl 1158.11003 Math. Comput. 75, No. 254, 983-996 (2006). MSC: 11A51 11Y11 11Y16 68Q17 68Q25 PDFBibTeX XMLCite \textit{S. Contini} et al., Math. Comput. 75, No. 254, 983--996 (2006; Zbl 1158.11003) Full Text: DOI arXiv
Shparlinski, Igor; Winterhof, Arne A hidden number problem in small subgroups. (English) Zbl 1072.11092 Math. Comput. 74, No. 252, 2073-2080 (2005). MSC: 11T23 11T71 11Y16 94A60 PDFBibTeX XMLCite \textit{I. Shparlinski} and \textit{A. Winterhof}, Math. Comput. 74, No. 252, 2073--2080 (2005; Zbl 1072.11092) Full Text: DOI
Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E. Predicting nonlinear pseudorandom number generators. (English) Zbl 1136.11316 Math. Comput. 74, No. 251, 1471-1494 (2005). MSC: 11K45 94A60 PDFBibTeX XMLCite \textit{S. R. Blackburn} et al., Math. Comput. 74, No. 251, 1471--1494 (2005; Zbl 1136.11316) Full Text: DOI
Conflitti, Alessandro; Shparlinski, Igor E. On the multidimensional distribution of the subset sum generator of pseudorandom numbers. (English) Zbl 1045.11055 Math. Comput. 73, No. 246, 1005-1011 (2004). Reviewer: Zhu Yaochen (Beijing) MSC: 11K45 11T71 11T23 94A60 PDFBibTeX XMLCite \textit{A. Conflitti} and \textit{I. E. Shparlinski}, Math. Comput. 73, No. 246, 1005--1011 (2004; Zbl 1045.11055) Full Text: DOI
Howgrave-Graham, Nick A.; Nguyen, Phong Q.; Shparlinski, Igor E. Hidden number problem with hidden multipliers, timed-release crypto, and noisy exponentiation. (English) Zbl 1026.11093 Math. Comput. 72, No. 243, 1473-1485 (2003). Reviewer: Arne Winterhof (Linz) MSC: 11Y16 94A60 11T71 11T23 PDFBibTeX XMLCite \textit{N. A. Howgrave-Graham} et al., Math. Comput. 72, No. 243, 1473--1485 (2003; Zbl 1026.11093) Full Text: DOI
González Vasco, Maria Isabel; Shparlinski, Igor E. Security of the most significant bits of the Shamir message passing scheme. (English) Zbl 1021.11032 Math. Comput. 71, No. 237, 333-342 (2002). Reviewer: Enric Nart Viñals (Bellaterra) MSC: 11T71 94A60 11T23 94A62 PDFBibTeX XMLCite \textit{M. I. González Vasco} and \textit{I. E. Shparlinski}, Math. Comput. 71, No. 237, 333--342 (2002; Zbl 1021.11032) Full Text: DOI
Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E. Period of the power generator and small values of Carmichael’s function. (English) Zbl 1029.11043 Math. Comput. 70, No. 236, 1591-1605 (2001); Corrigendum ibid. 71, No. 240, 1803-1806 (2002). Reviewer: T.Helleseth (Bergen) MSC: 11K45 11B50 11N56 11T71 94A60 PDFBibTeX XMLCite \textit{J. B. Friedlander} et al., Math. Comput. 70, No. 236, 1591--1605 (2002; Zbl 1029.11043) Full Text: DOI
Friedlander, John B.; Shparlinski, Igor E. On the distribution of the power generator. (English) Zbl 1029.11042 Math. Comput. 70, No. 236, 1575-1589 (2001). Reviewer: T.Helleseth (Bergen) MSC: 11K45 11L07 94A60 11T23 11T71 PDFBibTeX XMLCite \textit{J. B. Friedlander} and \textit{I. E. Shparlinski}, Math. Comput. 70, No. 236, 1575--1589 (2001; Zbl 1029.11042) Full Text: DOI
Niederreiter, Harald; Shparlinski, Igor E. On the distribution of inversive congruential pseudorandom numbers in parts of the period. (English) Zbl 0983.11048 Math. Comput. 70, No. 236, 1569-1574 (2001). Reviewer: Robert F. Tichy (Graz) MSC: 11K45 65C10 11L07 11T23 11K38 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{I. E. Shparlinski}, Math. Comput. 70, No. 236, 1569--1574 (2001; Zbl 0983.11048) Full Text: DOI
Shparlinski, Igor E. On the uniformity of distribution of the RSA pairs. (English) Zbl 0991.11066 Math. Comput. 70, No. 234, 801-808 (2001). Reviewer: Arne Winterhof (Wien) MSC: 11T71 11T23 11K38 94A60 11L07 PDFBibTeX XMLCite \textit{I. E. Shparlinski}, Math. Comput. 70, No. 234, 801--808 (2001; Zbl 0991.11066) Full Text: DOI
Shparlinski, Igor E. On bivariate polynomial factorization over finite fields. (English) Zbl 0777.11055 Math. Comput. 60, No. 202, 787-791 (1993). Reviewer: I.F.Blake (Waterloo / Ontario) MSC: 11T06 12E05 11Y40 12Y05 PDFBibTeX XMLCite \textit{I. E. Shparlinski}, Math. Comput. 60, No. 202, 787--791 (1993; Zbl 0777.11055) Full Text: DOI