Optimal and perfect difference systems of sets from \(q\)-ary sequences with difference-balanced property

DOI10.1007/s10623-009-9362-3zbMath1205.94071OpenAlexW2019888865MaRDI QIDQ2638428

Xiaohu Tang, Zhengchun Zhou

Publication date: 16 September 2010

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

Full work available at URL: https://doi.org/10.1007/s10623-009-9362-3

zbMATH Keywords

sequencesDifference systems of setscodes for synchronizationdifference-balanced property

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (3)

Disjoint difference families from Galois rings ⋮ Difference systems of sets based on cosets partitions ⋮ Optimal difference systems of sets and difference sets

Cites Work

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• New Cyclic Relative Difference Sets Constructed From<tex>$d$</tex>-Homogeneous Functions With Difference-Balanced Property
• Constructions of Difference Systems of Sets and Disjoint Difference Families
• New nonbinary sequences with ideal two-level autocorrelation
• Combinatorial problems motivated by comma‐free codes

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