Sequences related to Legendre/Jacobi sequences

DOI10.1016/j.ins.2007.02.012zbMath1142.11343OpenAlexW1964549574MaRDI QIDQ2384834

Yanyan Li

Publication date: 10 October 2007

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2007.02.012

zbMATH Keywords

Exponential sumsLinear complexity profileCorrelation measure of order \(k\)Generalized cyclotomic sequencesLegendre and Jacobi sequencesWell-distribution measure

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) Well-distributed sequences and other variations (11K36) Cyclotomy (11T22)

Related Items (7)

Linear complexity and autocorrelation values of a polyphase generalized cyclotomic sequence of length \(pq\) ⋮ Pseudo-randomness of certain sequences of \(k\) symbols with length \(pq\) ⋮ Elliptic curve analogue of Legendre sequences ⋮ A lower bound on the 2-adic complexity of the modified Jacobi sequence ⋮ On the linear complexity of some new \(q\)-ary sequences ⋮ Trace representation of some generalized cyclotomic sequences of length \(pq\) ⋮ Large families of pseudo-random subsets formed by generalized cyclotomic classes

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