Almaraz Luengo, Elena A brief and understandable guide to pseudo-random number generators and specific models for security. (English) Zbl 1485.65007 Stat. Surv. 16, 137-181 (2022). MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{E. Almaraz Luengo}, Stat. Surv. 16, 137--181 (2022; Zbl 1485.65007) Full Text: DOI Link
Wang, Chuanfu; Ding, Qun Theoretical design of controlled digitized chaotic systems with periodic orbit of upper limit length in digital circuit. (English) Zbl 1430.94111 Nonlinear Dyn. 98, No. 1, 257-268 (2019). MSC: 94C05 37D45 37C27 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Q. Ding}, Nonlinear Dyn. 98, No. 1, 257--268 (2019; Zbl 1430.94111) Full Text: DOI
Viktorenkov, Vladimir E. On the structure of digraphs of polynomial transformations over finite commutative rings with unity. (English. Russian original) Zbl 1396.13023 Discrete Math. Appl. 28, No. 4, 259-274 (2018); translation from Diskretn. Mat. 29, No. 3, 3-23 (2017). MSC: 13M10 05C25 05C20 PDFBibTeX XMLCite \textit{V. E. Viktorenkov}, Discrete Math. Appl. 28, No. 4, 259--274 (2018; Zbl 1396.13023); translation from Diskretn. Mat. 29, No. 3, 3--23 (2017) Full Text: DOI
Niederreiter, Harald; Winterhof, Arne Exponential sums and the distribution of inversive congruential pseudorandom numbers with power of two modulus. (English) Zbl 1084.11042 Int. J. Number Theory 1, No. 3, 431-438 (2005). Reviewer: Benjamin Doerr (Saarbrücken) MSC: 11K38 11K45 11L07 11L40 65C10 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{A. Winterhof}, Int. J. Number Theory 1, No. 3, 431--438 (2005; Zbl 1084.11042) Full Text: DOI
Topuzoğlu, Alev; Winterhof, Arne On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders. (English) Zbl 1114.11066 Appl. Algebra Eng. Commun. Comput. 16, No. 4, 219-228 (2005). MSC: 11K45 94A60 65C10 PDFBibTeX XMLCite \textit{A. Topuzoğlu} and \textit{A. Winterhof}, Appl. Algebra Eng. Commun. Comput. 16, No. 4, 219--228 (2005; Zbl 1114.11066) Full Text: DOI
Huber, Klaus On the period length of generalized inversive pseudorandom number generators. (English) Zbl 0796.11030 Appl. Algebra Eng. Commun. Comput. 5, No. 5, 255-260 (1994). MSC: 11K45 65C10 PDFBibTeX XMLCite \textit{K. Huber}, Appl. Algebra Eng. Commun. Comput. 5, No. 5, 255--260 (1994; Zbl 0796.11030) Full Text: DOI
Eichenauer-Herrmann, Jürgen Statistical independence of a new class of inversive congruential pseudorandom numbers. (English) Zbl 0795.65002 Math. Comput. 60, No. 201, 375-384 (1993). MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, Math. Comput. 60, No. 201, 375--384 (1993; Zbl 0795.65002) Full Text: DOI
Eichenauer-Herrmann, Jürgen On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. II. (English) Zbl 0810.11043 Manuscr. Math. 79, No. 3-4, 239-246 (1993). MSC: 11K45 65C10 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, Manuscr. Math. 79, No. 3--4, 239--246 (1993; Zbl 0810.11043) Full Text: DOI EuDML
Eichenauer-Herrmann, Jürgen The lattice structure of nonlinear congruential pseudorandom numbers. (English) Zbl 0773.65001 Metrika 40, No. 2, 115-120 (1993). Reviewer: B.Mathiszik (Halle) MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, Metrika 40, No. 2, 115--120 (1993; Zbl 0773.65001) Full Text: DOI EuDML
Eichenauer-Herrmann, Jürgen On the autocorrelation structure of inversive congruential pseudorandom number sequences. (English) Zbl 0766.65001 Stat. Hefte 33, No. 3, 261-268 (1992). Reviewer: K.G.Brokate (Leonberg) MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, Stat. Hefte 33, No. 3, 261--268 (1992; Zbl 0766.65001) Full Text: DOI
Eichenauer-Herrmann, Jürgen Construction of inversive congruential pseudorandom number generators with maximal period length. (English) Zbl 0761.65001 J. Comput. Appl. Math. 40, No. 3, 345-349 (1992). Reviewer: K.G.Brokate (Leonberg) MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, J. Comput. Appl. Math. 40, No. 3, 345--349 (1992; Zbl 0761.65001) Full Text: DOI
Eichenauer-Herrmann, Jürgen A remark on the discrepancy of quadratic congruential pseudorandom numbers. (English) Zbl 0784.65005 J. Comput. Appl. Math. 43, No. 3, 383-387 (1992). MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, J. Comput. Appl. Math. 43, No. 3, 383--387 (1992; Zbl 0784.65005) Full Text: DOI
Eichenauer-Herrmann, Jürgen; Niederreiter, Harald On the discrepancy of quadratic congruential pseudorandom numbers. (English) Zbl 0731.11046 J. Comput. Appl. Math. 34, No. 2, 243-249 (1991). Reviewer: B.W.Conolly (Cambridge) MSC: 11K45 65C10 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann} and \textit{H. Niederreiter}, J. Comput. Appl. Math. 34, No. 2, 243--249 (1991; Zbl 0731.11046) Full Text: DOI
Eichenauer-Herrmann, Jürgen On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. (English) Zbl 0727.11027 Manuscr. Math. 71, No. 2, 153-161 (1991). MSC: 11K45 65C10 PDFBibTeX XMLCite \textit{J. Eichenauer-Herrmann}, Manuscr. Math. 71, No. 2, 153--161 (1991; Zbl 0727.11027) Full Text: DOI EuDML