New pseudorandom sequences constructed by quadratic residues and Lehmer numbers

DOI10.1090/S0002-9939-06-08630-8zbMath1115.11004MaRDI QIDQ3425976

Huaning Liu

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inversebinary sequencepseudorandom

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (7)

GOWERS UNIFORMITY NORM AND PSEUDORANDOM MEASURES OF THE PSEUDORANDOM BINARY SEQUENCES ⋮ A note on certain modular constructions of pseudorandom binary sequences with composite moduli ⋮ On a problem analogues to Lehmer's and Hurwitz zeta-function ⋮ On a problem of D.H. Lehmer and pseudorandom binary sequences ⋮ A large family of pseudorandom binary lattices ⋮ Construction of pseudorandom binary lattices using elliptic curves ⋮ Modified constructions of binary sequences using multiplicative inverse

Cites Work

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• On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol
• On finite pseudorandom binary sequences IV: The Liouville function, II
• On finite pseudorandom binary sequences VII: The measures of pseudorandomness
• On the pseudorandomness of the signs of Kloosterman sums
• On Some Exponential Sums

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