Balance and pattern distribution of sequences derived from pseudorandom subsets of \(\mathbb{Z}_q\)

DOI10.2478/udt-2021-0009zbMath1490.11075arXiv2111.05662OpenAlexW4210328168MaRDI QIDQ2129367

Huaning Liu, Arne Winterhof

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.05662

zbMATH Keywords

sequencecorrelation measurebalancepattern distributionpseudorandom subset

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Miscellaneous applications of number theory (11Z05) Pseudo-random numbers; Monte Carlo methods (11K45)

Cites Work

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• Binary Sequences Derived From Differences of Consecutive Primitive Roots
• A note on pseudorandom subsets formed by generalized cyclotomic classes
• Pseudo-random subsets constructed by using Fermat quotients
• Large families of pseudo-random subsets formed by generalized cyclotomic classes

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