Inversive pseudorandom numbers over Galois rings

DOI10.1016/J.EJC.2008.04.004zbMath1159.94004OpenAlexW2032419881MaRDI QIDQ1003598

Patrick Solé, Dmitrii Zinoviev

Publication date: 4 March 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2008.04.004

zbMATH Keywords

Galois ringspseudorandom number generatorinversive sequence

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (5)

Piecewise polynomial sequences over the Galois ring ⋮ Codes over rings and Hermitian lattices ⋮ Inversive congruential generator over a Galois ring of dimension \(p^\ell\) ⋮ Bounds on the discrepancy of linear recurring sequences over Galois rings ⋮ Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings

Cites Work

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• The period lengths of inversive pseudorandom vector generations
• On the average distribution of inversive pseudorandom numbers
• On the distribution of pseudorandom numbers and vectors generated by inversive methods
• On the distribution of inversive congruential pseudorandom numbers in parts of the period
• EXPONENTIAL SUMS AND THE DISTRIBUTION OF INVERSIVE CONGRUENTIAL PSEUDORANDOM NUMBERS WITH POWER OF TWO MODULUS
• Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus
• A new inversive congruential pseudorandom number generator with power of two modulus
• Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences

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