Autocorrelations of Maximum Period FCSR Sequences

DOI10.1137/050633974zbMath1128.94006OpenAlexW1969691916MaRDI QIDQ5757373

Hong Xu, Wen-Feng Qi

Publication date: 6 September 2007

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050633974

zbMATH Keywords

exponential sum2-adic numbers\(l\)-sequencesfeedback with carry shift registers

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Estimates on exponential sums (11L07) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60) Exponential sums (11T23) Congruences; primitive roots; residue systems (11A07) Sequences (mod (m)) (11B50)

Related Items (8)

Statistical properties of half-\(\ell\)-sequences ⋮ On the \(k\)-error linear complexity of \(\ell\)-sequences ⋮ Linearity properties of binary FCSR sequences ⋮ On the distinctness of maximal length sequences over \(\mathbb Z/(pq)\) modulo 2 ⋮ A note on the crosscorrelation of maximal length FCSR sequences ⋮ Periods of termwise exclusive ors of maximal length FCSR sequences ⋮ Some remarks on FCSRs and implications for stream ciphers ⋮ Autocorrelations of \(l\)-sequences with prime connection integer

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