A new family of ternary sequences with ideal two-level autocorrelation function

DOI10.1023/A:1011208514883zbMath1007.94013OpenAlexW3010088832MaRDI QIDQ5937083

P. Vijay Kumar, Halvard Martinsen, Tor Helleseth

Publication date: 7 March 2003

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011208514883

zbMATH Keywords

sequencesideal autocorrelationtwo-level autocorrelation

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)

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Partial direct product difference sets and almost quaternary sequences ⋮ Generalized nonbinary sequences with perfect autocorrelation, flexible alphabets and new periods ⋮ Difference balanced functions and their generalized difference sets ⋮ On the linear complexity of some new \(q\)-ary sequences ⋮ Sequences with good correlation property based on depth and interleaving techniques ⋮ Results on the Crosscorrelation and Autocorrelation of Sequences ⋮ Three-weight ternary linear codes from a family of cyclic difference sets ⋮ Optimal and perfect difference systems of sets ⋮ Zero-difference balanced functions with applications ⋮ Recent progress in algebraic design theory ⋮ The invariant factors of some cyclic difference sets

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