Ökten, Giray Number sequences for simulation. (English) Zbl 07969991 Kreso, Dijana (ed.) et al., Diophantine problems: determinism, randomness and applications. Paris: Société Mathématique de France (SMF). Panor. Synth. 62, 161-189 (2024). MSC: 11K45 65D30 97M30 × Cite Format Result Cite Review PDF
Madritsch, M. G.; Rivat, J.; Tichy, R. F. On finite pseudorandom binary sequences: functions from a Hardy field. (English) Zbl 07966621 Acta Math. Hung. 174, No. 1, 121-137 (2024). MSC: 11K45 11K06 11K36 11J71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zidarič, N.; Mandal, K.; Gong, G.; Aagaard, M. The Welch-Gong stream cipher – evolutionary path. (English) Zbl 1547.94300 Cryptogr. Commun. 16, No. 1, 129-165 (2024). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Gong, G.; Wang, Z. L. Status of three classes of sequences. (English) Zbl 1516.94018 Cryptogr. Commun. 15, No. 2, 257-308 (2023). MSC: 94A55 05B10 05B20 11L05 11L07 × Cite Format Result Cite Review PDF Full Text: DOI
Kovalchuk, L. V.; Koriakov, I. V.; Alekseychuk, A. N. Krip: high-speed hardware-oriented stream cipher based on a non-autonomous nonlinear shift register. (English. Ukrainian original) Zbl 1512.94093 Cybern. Syst. Anal. 59, No. 1, 16-26 (2023); translation from Kibern. Sist. Anal. 59, No. 1, 21-32 (2023). MSC: 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhixiong; Niu, Zhihua; Winterhof, Arne Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods. (English) Zbl 1534.94071 IEEE Trans. Inf. Theory 68, No. 11, 7538-7544 (2022). MSC: 94A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandal, Kalikinkar; Gong, Guang On ideal \(t\)-tuple distribution of orthogonal functions in filtering de Bruijn generators. (English) Zbl 1493.94021 Adv. Math. Commun. 16, No. 3, 597-619 (2022). MSC: 94A55 94A60 94A15 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Gutierrez, Jaime Attacking the linear congruential generator on elliptic curves via lattice techniques. (English) Zbl 1491.94053 Cryptogr. Commun. 14, No. 3, 505-525 (2022). MSC: 94A60 11T71 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Kundu, Satyabrota; Mazumder, Supriyo Number theory and its applications. (English) Zbl 1507.11001 Boca Raton, FL: CRC Press (ISBN 978-1-032-23143-3/hbk; 978-1-003-27594-7/ebook). x, 355 p. (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11-01 11Axx 11Bxx 11Dxx × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Zhixiong; Gómez, Ana I.; Gómez-Pérez, Domingo; Tirkel, Andrew Correlation measure, linear complexity and maximum order complexity for families of binary sequences. (English) Zbl 1481.94092 Finite Fields Appl. 78, Article ID 101977, 11 p. (2022). MSC: 94A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Huaning; Winterhof, Arne Balance and pattern distribution of sequences derived from pseudorandom subsets of \(\mathbb{Z}_q\). (English) Zbl 1490.11075 Unif. Distrib. Theory 16, No. 2, 89-108 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K45 94A55 11T71 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haneche, M.; Djaballah, K.; Khaldi, K. An algorithm for probabilistic solution of parabolic PDEs. (English) Zbl 07483534 Sequential Anal. 40, No. 4, 441-465 (2021). MSC: 62Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Blackman, David; Vigna, Sebastiano Scrambled linear pseudorandom number generators. (English) Zbl 1486.65003 ACM Trans. Math. Softw. 47, No. 4, Article No. 36, 32 p. (2021). MSC: 65C10 94A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez, Ana I.; Gómez-Pérez, Domingo; Pillichshammer, Friedrich Secure pseudorandom bit generators and point sets with low star-discrepancy. (English) Zbl 1469.11244 J. Comput. Appl. Math. 396, Article ID 113601, 8 p. (2021). MSC: 11K31 11K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiaolin Constructions of pseudorandom binary lattices using cyclotomic classes in finite fields. (English) Zbl 1475.11139 Open Math. 18, 1606-1614 (2020). MSC: 11K45 11B50 94A55 94A60 11T24 × Cite Format Result Cite Review PDF Full Text: DOI
Goldfeld, Dorian; Micheli, Giacomo The algebraic theory of fractional jumps. (English) Zbl 1472.37092 Davis, James A. (ed.), Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3–7, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 133-147 (2020). MSC: 37P05 11K45 11T06 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Lianhua; Du, Xiaoni Linear complexity of binary threshold sequences derived from generalized polynomial quotient with prime-power modulus. (English) Zbl 1465.11233 Int. J. Found. Comput. Sci. 31, No. 5, 569-581 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11T71 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez-Pérez, Domingo; Mérai, László Algebraic dependence in generating functions and expansion complexity. (English) Zbl 1453.94052 Adv. Math. Commun. 14, No. 2, 307-318 (2020). Reviewer: Arne Winterhof (Linz) MSC: 94A55 11T71 11Y16 94A60 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zubkov, A. M.; Serov, A. A. Testing the NIST statistical test suite on artificial pseudorandom sequences. (English) Zbl 1473.62072 Mat. Vopr. Kriptografii 10, No. 2, 89-96 (2019). MSC: 62F03 62A01 62-08 68P25 94A60 11K45 65C10 × Cite Format Result Cite Review PDF Full Text: DOI MNR Link
Deon, Aleksei F.; Menyaev, Yulian A. Poisson twister generator by cumulative frequency technology. (English) Zbl 1461.60003 Algorithms (Basel) 12, No. 6, Paper No. 114, 18 p. (2019). MSC: 60-08 60-04 60G51 65C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lerner, Emil The uniform distribution of sequences generated by iterated polynomials. (English) Zbl 07177467 \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 4, 280-298 (2019). MSC: 65Cxx 11Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofer, Richard; Winterhof, Arne \(r\)-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. (English) Zbl 1419.94056 Cryptogr. Commun. 11, No. 5, 993-997 (2019). MSC: 94A62 11T71 06E30 11K45 94C10 × Cite Format Result Cite Review PDF Full Text: DOI
Guidi, Federico Amadio; Lindqvist, Sofia; Micheli, Giacomo Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation. (English) Zbl 1460.37085 Math. Comput. 88, No. 318, 2005-2025 (2019). MSC: 37P25 11K45 65C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Chenhuang; Xu, Chunxiang; Chen, Zhixiong; Ke, Pinhui On error linear complexity of new generalized cyclotomic binary sequences of period \(p^2\). (English) Zbl 1481.94127 Inf. Process. Lett. 144, 9-15 (2019). MSC: 94A60 94A55 11T71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ermilov, D. M. The number of maximal period polynomial mappings over the Galois fields of odd characteristics. (Russian. English summary) Zbl 1471.11287 Mat. Vopr. Kriptografii 9, No. 4, 85-100 (2018). MSC: 11T06 11T30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Liang, Bei; Mitrokotsa, Aikaterini Distributed pseudorandom functions for general access structures in NP. (English) Zbl 1452.94058 Qing, Sihan (ed.) et al., Information and communications security. 19th international conference, ICICS 2017, Beijing, China, December 6–8, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10631, 81-87 (2018). MSC: 94A55 94A62 × Cite Format Result Cite Review PDF Full Text: DOI
Roy, Suman; Krishnaswamy, Srinivasan; Kumar, P. Vinod On leaf node edge switchings in spanning trees of de Bruijn graphs. (English) Zbl 1459.05152 Ghosh, Debdas (ed.) et al., Mathematics and computing. 4th international conference, ICMC 2018, Varanasi, India, January 9–11, 2018. Revised selected papers. Singapore: Springer. Commun. Comput. Inf. Sci. 834, 110-117 (2018). MSC: 05C45 05C20 05A05 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhixiong; Edemskiy, Vladimir; Ke, Pinhui; Wu, Chenhuang On \(k\)-error linear complexity of pseudorandom binary sequences derived from Euler quotients. (English) Zbl 1402.94047 Adv. Math. Commun. 12, No. 4, 805-816 (2018). MSC: 94A55 94A60 65C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Qi; Ke, Pinhui; Shen, Jian Linear complexity of a class of pseudorandom sequences over a general finite field. (English) Zbl 1398.94088 Soft Comput. 22, No. 13, 4335-4346 (2018). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Mérai, László; Winterhof, Arne On the pseudorandomness of automatic sequences. (English) Zbl 1419.11101 Cryptogr. Commun. 10, No. 6, 1013-1022 (2018). MSC: 11K45 68R15 68Q25 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gyarmati, Katalin On the cross-combined measure of families of binary lattices and sequences. (English) Zbl 1423.11132 Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 217-238 (2018). MSC: 11K45 94A60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mérai, László; Rivat, Joël; Sárközy, András The measures of pseudorandomness and the NIST tests. (English) Zbl 1423.11133 Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 197-216 (2018). MSC: 11K45 62F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kneusel, Ronald T. Random numbers and computers. (English) Zbl 1497.65002 Cham: Springer (ISBN 978-3-319-77696-5/hbk; 978-3-319-77697-2/ebook). xv, 259 p. (2018). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65-02 65C10 60C05 62F03 68-02 68W40 11K45 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Mandal, Kalikinkar; Yang, Bo; Gong, Guang; Aagaard, Mark On ideal \(t\)-tuple distribution of filtering de Bruijn sequence generators. (English) Zbl 1391.94778 Cryptogr. Commun. 10, No. 4, 629-641 (2018). MSC: 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Varbanets, Pavel; Varbanets, Sergey Inversive generator of the second order with a variable shift for the sequence of PRN’s. (English) Zbl 1399.11132 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 255-273 (2017). MSC: 11K45 11T23 11T71 × Cite Format Result Cite Review PDF
Liu, Huaning; Gao, Bo Large family of pseudorandom sequence of \(k\) symbols with length \(pq\). (Chinese. English summary) Zbl 1389.94089 Acta Math. Sin., Chin. Ser. 60, No. 3, 401-414 (2017). MSC: 94A55 94A60 11K45 × Cite Format Result Cite Review PDF
Liu, Huaning; Gao, Bo A large family of pseudorandom sequences of \(k\) symbols with length \(pq\). (English) Zbl 1429.11137 Acta Arith. 181, No. 1, 1-26 (2017). MSC: 11K45 11B50 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dodson, C. T. J. On some information geometric approaches to cyber security. (English) Zbl 1375.94082 Daras, Nicholas J. (ed.) et al., Operations research, engineering, and cyber security. Trends in applied mathematics and technology. Based on the presentations at the conference, Nea Peramos, Greece, May 2015. Cham: Springer (ISBN 978-3-319-51498-7/hbk; 978-3-319-51500-7/ebook). Springer Optimization and Its Applications 113, 167-197 (2017). MSC: 94A15 94A60 53B20 62B10 68M11 68M10 × Cite Format Result Cite Review PDF Full Text: DOI
Cayrel, Pierre-Louis; Meziani, Mohammed; Ndiaye, Ousmane; Lindner, Richard; Silva, Rosemberg A pseudorandom number generator based on worst-case lattice problems. (English) Zbl 1375.94091 Appl. Algebra Eng. Commun. Comput. 28, No. 4, 283-294 (2017). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Edemskiy, Vladimir; Du, Xiaoni Design sequences with high linear complexity over finite fields using generalized cyclotomy. (English) Zbl 1369.94510 Cryptogr. Commun. 9, No. 6, 683-691 (2017). MSC: 94A55 94A60 11T71 11B50 × Cite Format Result Cite Review PDF Full Text: DOI
Mérai, László Predicting the elliptic curve congruential generator. (English) Zbl 1369.11099 Appl. Algebra Eng. Commun. Comput. 28, No. 3, 193-203 (2017). MSC: 11T71 11K45 11Y50 11Y55 14H52 94A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mérai, László; Niederreiter, Harald; Winterhof, Arne Expansion complexity and linear complexity of sequences over finite fields. (English) Zbl 1409.94855 Cryptogr. Commun. 9, No. 4, 501-509 (2017). MSC: 94A55 11T71 11Y16 94A60 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sárközy, András On pseudorandomness of families of binary sequences. (English) Zbl 1372.11083 Discrete Appl. Math. 216, Part 3, 670-676 (2017). MSC: 11K45 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Hofer, Richard; Winterhof, Arne On the arithmetic autocorrelation of the Legendre sequence. (English) Zbl 1357.94055 Adv. Math. Commun. 11, No. 1, 237-244 (2017). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Xiaoni; Wu, Chenhuang; Wei, Wanyin An extension of binary threshold sequences from Fermat quotients. (English) Zbl 1353.94027 Adv. Math. Commun. 10, No. 4, 743-752 (2016). MSC: 94A55 94A60 65C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mérai, László The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values. (English) Zbl 1371.11122 Discrete Appl. Math. 214, 153-168 (2016). Reviewer: Štefan Porubský (Praha) MSC: 11K45 11K36 11K38 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mak, Kit-Ho; Zaharescu, Alexandru On the correlation of families of pseudorandom sequences of \(k\) symbols. (English) Zbl 1356.11046 Acta Arith. 174, No. 3, 199-215 (2016). Reviewer: Arne Winterhof (Linz) MSC: 11K45 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Meidl, Wilfried; Niederreiter, Harald Multisequences with high joint nonlinear complexity. (English) Zbl 1405.94037 Des. Codes Cryptography 81, No. 2, 337-346 (2016). MSC: 94A55 65C10 11K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mérai, László; Winterhof, Arne On the linear complexity profile of some sequences derived from elliptic curves. (English) Zbl 1383.94010 Des. Codes Cryptography 81, No. 2, 259-267 (2016). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A55 94A60 65C10 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Niederreiter, Harald A survey of some applications of finite fields. (English) Zbl 1333.11074 Des. Codes Cryptography 78, No. 1, 129-139 (2016). Reviewer: Wilfried Meidl (Linz) MSC: 11K38 11K45 11T71 65C05 65C10 94A55 94A60 12-02 × Cite Format Result Cite Review PDF Full Text: DOI
Minaud, Brice; Seurin, Yannick The iterated random permutation problem with applications to cascade encryption. (English) Zbl 1375.94151 Gennaro, Rosario (ed.) et al., Advances in cryptology – CRYPTO 2015. 35th annual cryptology conference, Santa Barbara, CA, USA, August 16–20, 2015. Proceedings. Part I. Berlin: Springer (ISBN 978-3-662-47988-9/pbk; 978-3-662-47989-6/ebook). Lecture Notes in Computer Science 9215, 351-367 (2015). MSC: 94A60 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Döttling, Nico; Schröder, Dominique Efficient pseudorandom functions via on-the-fly adaptation. (English) Zbl 1375.94092 Gennaro, Rosario (ed.) et al., Advances in cryptology – CRYPTO 2015. 35th annual cryptology conference, Santa Barbara, CA, USA, August 16–20, 2015. Proceedings. Part I. Berlin: Springer (ISBN 978-3-662-47988-9/pbk; 978-3-662-47989-6/ebook). Lecture Notes in Computer Science 9215, 329-350 (2015). MSC: 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhixiong; Du, Xiaoni; Marzouk, Radwa Trace representation of pseudorandom binary sequences derived from Euler quotients. (English) Zbl 1343.94032 Appl. Algebra Eng. Commun. Comput. 26, No. 6, 555-570 (2015). MSC: 94A55 94A60 65C10 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sebők, Richárd On a connection between pseudorandom measures. (English) Zbl 1394.11061 Unif. Distrib. Theory 10, No. 1, 107-113 (2015). MSC: 11K45 × Cite Format Result Cite Review PDF
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András Generation of further pseudorandom binary sequences. I. (English) Zbl 1392.11053 Unif. Distrib. Theory 10, No. 1, 35-61 (2015). MSC: 11K45 × Cite Format Result Cite Review PDF
Romańczuk-Polubiec, Urszula; Ustimenko, Vasyl On two windows multivariate cryptosystem depending on random parameters. (English) Zbl 1316.94085 Algebra Discrete Math. 19, No. 1, 101-129 (2015). MSC: 94A60 05C85 × Cite Format Result Cite Review PDF
Mikhalev, A. V.; Nechaev, A. A. Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers. (Russian. English summary) Zbl 1476.11030 Mat. Vopr. Kriptografii 5, No. 1, 95-125 (2014). MSC: 11B37 11B83 11T71 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Pincus, Steve; Singer, Burton H. Higher-order dangers and precisely constructed taxa in models of randomness. (English) Zbl 1355.11079 Proc. Natl. Acad. Sci. USA 111, No. 15, 5485-5490 (2014). MSC: 11K36 03D32 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Drissi, Ahmed; Asimi, Ahmed Design and validation of a regenerator of binary sequences cryptographically safe based on Goppa codes. (English) Zbl 1339.94041 Int. J. Appl. Math. Stat. 52, No. 5, 29-40 (2014). MSC: 94A60 94B05 × Cite Format Result Cite Review PDF Full Text: Link
Gómez-Pérez, Domingo; Gutierrez, Jaime On the linear complexity and lattice test of nonlinear pseudorandom number generators. (English) Zbl 1368.11081 Larcher, Gerhard (ed.) et al., Applied algebra and number theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press (ISBN 978-1-107-07400-2/hbk; 978-1-139-69645-6/ebook). 91-101 (2014). MSC: 11K45 11K38 65C10 11J71 × Cite Format Result Cite Review PDF
Hellekalek, Peter The hybrid spectral test: a unifying concept. (English) Zbl 1362.11072 Kritzer, Peter (ed.) et al., Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Berlin: De Gruyter (ISBN 978-3-11-031789-3/hbk; 978-3-11-031793-0/ebook). Radon Series on Computational and Applied Mathematics 15, 127-145 (2014). MSC: 11K06 11K38 11K45 11K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez-Pérez, Domingo; Gómez, Ana On the lattice structure of inversive PRNG via the additive order. (English) Zbl 1355.94032 Schmidt, Kai-Uwe (ed.) et al., Sequences and their applications – SETA 2014. 8th international conference, Melbourne, VIC, Australia, November 24–28, 2014. Proceedings. Cham: Springer (ISBN 978-3-319-12324-0/pbk; 978-3-319-12325-7/ebook). Lecture Notes in Computer Science 8865, 212-219 (2014). MSC: 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Ben Jemaa, Zouhair; Fournier-Prunaret, Daniele; Belghith, Safya Independence test of chaotic sequences. (English) Zbl 1352.37154 Grácio, Clara (ed.) et al., Nonlinear maps and their applications. Selected contributions from the 3rd international workshop on nonlinear maps and their applications, NOMA 2011, Évora, Portugal, September 15–16, 2011. New York, NY: Springer (ISBN 978-1-4614-9160-6/hbk; 978-1-4614-9161-3/ebook). Springer Proceedings in Mathematics & Statistics 57, 95-108 (2014). MSC: 37H10 37D45 62M10 62F03 × Cite Format Result Cite Review PDF Full Text: DOI
Yong, Ya; Liu, Huaning Large family of pseudorandom sequences of \(k\) symbols constructed by using multiplicative character. (English) Zbl 1318.11098 J. Concr. Appl. Math. 12, No. 1-2, 137-145 (2014). MSC: 11K45 94A55 11B50 94A60 × Cite Format Result Cite Review PDF Full Text: Link
Wu, Chenhuang; Chen, Zhixiong Linear complexity of pseudorandom sequences based on summation of polynomial quotients. (Chinese. English summary) Zbl 1313.68052 J. Wuhan Univ., Nat. Sci. Ed. 60, No. 2, 167-172 (2014). MSC: 68P25 11K45 11T71 94A60 × Cite Format Result Cite Review PDF
Du, Xiaoni; Lin, Zhixing On pseudorandom sequences of \(k\) symbols constructed using finite fields. (English) Zbl 1342.11068 Appl. Algebra Eng. Commun. Comput. 25, No. 4, 265-285 (2014). MSC: 11K45 11T23 11T24 × Cite Format Result Cite Review PDF Full Text: DOI
Pirsic, Gottlieb Isabel; Winterhof, Arne On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. (English) Zbl 1335.94024 Des. Codes Cryptography 73, No. 2, 319-328 (2014). MSC: 94A55 94A60 11T71 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI
Topuzoğlu, Alev The Carlitz rank of permutations of finite fields: a survey. (English) Zbl 1332.11106 J. Symb. Comput. 64, 53-66 (2014). MSC: 11T06 65C10 × Cite Format Result Cite Review PDF Full Text: DOI
Cardell, Sara D.; Gomez-Perez, Domingo; Gutierrez, Jaime Generalized explicit inversive generators of small \(p\)-weight degree. (English) Zbl 1284.11109 Finite Fields Appl. 25, 316-325 (2014). MSC: 11K45 11K31 11K38 × Cite Format Result Cite Review PDF Full Text: DOI
Mak, Kit-Ho More constructions of pseudorandom sequences of \(k\) symbols. (English) Zbl 1284.11111 Finite Fields Appl. 25, 222-233 (2014). Reviewer: Robert F. Tichy (Graz) MSC: 11K45 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Mandal, Kalikinkar; Gong, Guang Cryptographically strong de Bruijn sequences with large periods. (English) Zbl 1327.94022 Knudsen, Lars R. (ed.) et al., Selected areas in cryptography. 19th international conference, SAC 2012, Windsor, Canada, August 15–16, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-35998-9/pbk; 978-3-642-35999-6/ebook). Lecture Notes in Computer Science 7707, 104-118 (2013). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Xiaoni; Chen, Zhixiong A generalization of the Hall’s sextic residue sequences. (English) Zbl 1293.11087 Inf. Sci. 222, 784-794 (2013). MSC: 11K45 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Chenhuang; Chen, Zhixiong; Du, Xiaoni The linear complexity of \(q\)-ary generalized cyclotomic sequences of period \(p^m\). (Chinese. English summary) Zbl 1299.94094 J. Wuhan Univ., Nat. Sci. Ed. 59, No. 2, 129-136 (2013). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF
Wang, Lin; Hu, Zhi New sequences of period \(p^n\) and \(p^n+1\) via projective linear groups. (English) Zbl 1311.94063 Kutyłowski, Mirosław (ed.) et al., Information security and cryptology. 8th international conference, Inscrypt 2012, Beijing, China, November 28–30, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-38518-6/pbk). Lecture Notes in Computer Science 7763, 311-330 (2013). MSC: 94A55 65C10 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Gutierrez, Jaime; Ibeas, Álvar; Gómez-Pérez, Domingo; Shparlinski, Igor E. Predicting masked linear pseudorandom number generators over finite fields. (English) Zbl 1279.94082 Des. Codes Cryptography 67, No. 3, 395-402 (2013). MSC: 94A60 11T71 11K45 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jie; Zeng, Xiangyong; Tang, Xiaohu; Li, Chunlei A family of quadriphase sequences of period \(4(2^n-1)\) with low correlation and large linear span. (English) Zbl 1259.94040 Des. Codes Cryptography 67, No. 1, 19-35 (2013). MSC: 94A55 11B83 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Huiling A new pseudorandom number generator AST. (English) Zbl 1296.11095 Kim, Jin Yong (ed.) et al., Contemporary ring theory 2011. Proceedings of the 6th China-Japan-Korea international conference, Kyung Hee University, Suwon, Korea, June 27–July 2, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4397-67-4/hbk; 978-981-4397-69-8/ebook). 110-122 (2012). MSC: 11K45 11T30 11Y16 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Gomez, Domingo; Winterhof, Arne Multiplicative character sums of Fermat quotients and pseudorandom sequences. (English) Zbl 1263.11110 Period. Math. Hung. 64, No. 2, 161-168 (2012). Reviewer: Florian Luca (Morelia) MSC: 11T24 11K45 11K36 11T71 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhixiong; Gómez-Pérez, Domingo Linear complexity of binary sequences derived from polynomial quotients. (English) Zbl 1304.94024 Helleseth, Tor (ed.) et al., Sequences and their applications – SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4–8, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-30614-3/pbk). Lecture Notes in Computer Science 7280, 181-189 (2012). MSC: 94A55 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Xiaoni; Chen, Zhixiong; Hu, Lei Linear complexity of binary sequences derived from Euler quotients with prime-power modulus. (English) Zbl 1243.94026 Inf. Process. Lett. 112, No. 14-15, 604-609 (2012). MSC: 94A60 11B68 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Bauer, Aurélie; Vergnaud, Damien; Zapalowicz, Jean-Christophe Inferring sequences produced by nonlinear pseudorandom number generators using Coppersmith’s methods. (English) Zbl 1291.11137 Fischlin, Marc (ed.) et al., Public key cryptography – PKC 2012. 15th international conference on practice and theory in public key cryptography, Darmstadt, Germany, May 21–23, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-30056-1/pbk). Lecture Notes in Computer Science 7293, 609-626 (2012). MSC: 11T71 94A55 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Xiaoni; Klapper, Andrew; Chen, Zhixiong Linear complexity of pseudorandom sequences generated by Fermat quotients and their generalizations. (English) Zbl 1242.94023 Inf. Process. Lett. 112, No. 6, 233-237 (2012). MSC: 94A60 11K45 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Gyarmati, Katalin; Mauduit, Christian On the correlation of binary sequences. II. (English) Zbl 1333.11076 Discrete Math. 312, No. 5, 811-818 (2012). MSC: 11K45 11K38 × Cite Format Result Cite Review PDF Full Text: DOI
Ostafe, Alina Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems. (English) Zbl 1246.65006 Des. Codes Cryptography 63, No. 1, 59-72 (2012). Reviewer: C. L. Parihar (Indore) MSC: 65C10 94A60 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Bin Assessment and improvement of autocorrelation performance of chaotic sequences using a phase space method. (English) Zbl 1271.62201 Sci. China, Inf. Sci. 54, No. 12, 2647-2659 (2011). MSC: 62M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Chenhuang; Weng, Xin; Chen, Zhixiong Construction of \(k\)-ary pseudorandom elliptic curve sequences. (English) Zbl 1249.94041 Wuhan Univ. J. Nat. Sci. 16, No. 5, 452-456 (2011). MSC: 94A60 11T71 11G20 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Xiaoyan A pseudorandom binary sequence constructed by D. H. Lehmer problem. (Chinese. English summary) Zbl 1249.11079 J. Jilin Univ., Sci. 49, No. 1, 47-50 (2011). MSC: 11K45 11L05 11L03 × Cite Format Result Cite Review PDF
Song, Huiling; Ito, Hiroyuki; Kitadai, Yukinori A pseudorandom number generator using an Artin-Schreier tower. (English) Zbl 1264.11070 SUT J. Math. 47, No. 1, 73-90 (2011). Reviewer: Peter Kritzer (Linz) MSC: 11K45 11T30 11Y16 94A55 × Cite Format Result Cite Review PDF
Chen, Zhixiong; Cheng, Xiangguo; Wu, Chenhuang A family of binary threshold sequences constructed by using the multiplicative inverse. (English) Zbl 1295.94004 Lai, Xuejia (ed.) et al., Information security and cryptology. 6th international conference, Inscrypt 2010, Shanghai, China, October 20–24, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-21517-9/pbk). Lecture Notes in Computer Science 6584, 95-104 (2011). MSC: 94A55 11K45 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András Measures of pseudorandomness of finite binary lattices. II: The symmetry measures. (English) Zbl 1227.11092 Ramanujan J. 25, No. 2, 155-178 (2011). Reviewer: Arne Winterhof (Linz) MSC: 11K45 65C05 65C10 11K36 11K31 × Cite Format Result Cite Review PDF Full Text: DOI
Mérai, László Construction of pseudorandom binary lattices using elliptic curves. (English) Zbl 1241.11092 Proc. Am. Math. Soc. 139, No. 2, 407-420 (2011). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 11K45 11K36 65C05 65C10 11K31 × Cite Format Result Cite Review PDF Full Text: DOI
Sukhinin, B. M. High-speed pseudorandom sequence generators based on cellular automata. (Russian. English summary) Zbl 1472.68104 Prikl. Diskretn. Mat. 2010, No. 2(8), 34-41 (2010). MSC: 68Q80 68W20 68W35 × Cite Format Result Cite Review PDF Full Text: MNR
Bylkov, D. N. A class of injective compressing maps on linear recurring sequences over a Galois ring. (English. Russian original) Zbl 1241.94021 Probl. Inf. Transm. 46, No. 3, 245-252 (2010); translation from Probl. Peredachi Inf. 46, No. 3, 51-59 (2010). MSC: 94A45 11B37 11K45 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Folláth, János Construction of pseudorandom binary sequences using additive characters over \(GF(2^k)\). II. (English) Zbl 1224.68030 Period. Math. Hung. 60, No. 2, 127-135 (2010). Reviewer: Richard A. Mollin (Calgary) MSC: 68P25 11T23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mérai, László On finite pseudorandom lattices of \(k\) symbols. (English) Zbl 1281.11079 Monatsh. Math. 161, No. 2, 173-191 (2010). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 11K45 11K31 65C05 65C10 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Pirsic, Gottlieb; Winterhof, Arne On the structure of digital explicit nonlinear and inversive pseudorandom number generators. (English) Zbl 1186.65008 J. Complexity 26, No. 1, 43-50 (2010). Reviewer: Serghey G. Suvorov (Donetsk) MSC: 65C10 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Songjiang; Qiu, Shuisheng; Luo, Kaiqing Research on the stability of complexity of chaos-based pseudorandom sequence. (Chinese. English summary) Zbl 1201.94061 Acta Phys. Sin. 58, No. 9, 6045-6049 (2009). MSC: 94A17 94A60 94A55 37D45 × Cite Format Result Cite Review PDF
Liu, Huaning; Gao, Jing Quasirandom subsets of \(\mathbb{Z}_p\) from elliptic curves. (Chinese. English summary) Zbl 1199.11102 Acta Math. Sin., Chin. Ser. 52, No. 2, 209-216 (2009). MSC: 11K36 11K45 11G07 × Cite Format Result Cite Review PDF
Mérai, László Construction of large families of pseudorandom binary sequences. (English) Zbl 1225.11097 Ramanujan J. 18, No. 3, 341-349 (2009). MSC: 11K45 11L40 11K36 × Cite Format Result Cite Review PDF Full Text: DOI
Mérai, László A construction of pseudorandom binary sequences using rational functions. (English) Zbl 1208.11094 Unif. Distrib. Theory 4, No. 1, 35-49 (2009). Reviewer: Friedrich Pillichshammer (Linz) MSC: 11K45 11K36 × Cite Format Result Cite Review PDF Full Text: Link