New cyclic difference sets with Singer parameters constructed from \(d\)-homogeneous functions

DOI10.1023/B:DESI.0000036246.52472.81zbMath1059.05021MaRDI QIDQ702181

Jong-Seon No

Publication date: 17 January 2005

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

zbMATH Keywords

finite fielddifference setdesignsautocorrelationsequence

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (9)

AUTHENTICATION CODES FROM DIFFERENCE BALANCED FUNCTIONS ⋮ Optimal and perfect difference systems of sets from \(q\)-ary sequences with difference-balanced property ⋮ Two-tuple balance of non-binary sequences with ideal two-level autocorrelation ⋮ Three classes of partitioned difference families and their optimal constant composition codes ⋮ The exact autocorrelation distribution and 2-adic complexity of a class of binary sequences with almost optimal autocorrelation ⋮ Difference balanced functions and their generalized difference sets ⋮ New almost perfect, odd perfect, and perfect sequences from difference balanced functions with \(d\)-form property ⋮ Three-weight ternary linear codes from a family of cyclic difference sets ⋮ Recent progress in algebraic design theory

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