Classification of optimal \((v, 4, 1)\) binary cyclically permutable constant-weight codes and cyclic \(2\)-\((v, 4, 1)\) designs with \(v \leq 76\).

DOI10.1134/S0032946011030021zbMath1241.05015OpenAlexW1968687807MaRDI QIDQ764400

Svetlana Topalova, Tsonka Stefanova Baicheva

Publication date: 13 March 2012

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946011030021

zbMATH Keywords

packing designdifference familyoptical orthogonal codecyclic design

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Cyclic codes (94B15) Combinatorial codes (94B25) Combinatorial aspects of packing and covering (05B40)

Related Items (3)

Optimal (v, 4, 2, 1) optical orthogonal codes with small parameters ⋮ Optimal \((v,5,2,1)\) optical orthogonal codes of small \(v\) ⋮ Classification of optimal \((v,k,1)\) binary cyclically permutable constant weight codes with \(k=5, 6\) and \(7\) and small lengths

Cites Work

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• New results on optimal \((v,4,2,1)\) optical orthogonal codes
• Classification algorithms for codes and designs
• Further results on \((v,4,1)\)-perfect difference families
• Further progress on difference families with block size 4 or 5
• Optimal \((n,4,2)\)-OOC of small orders.
• Cyclic designs with block size 4 and related optimal optical orthogonal codes
• Isomorphism problem for relational structures with a cyclic automorphism
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Steiner systems \(S(2,4,v)\) -- a survey
• Optical orthogonal codes: their bounds and new optimal constructions
• Optical orthogonal codes: design, analysis and applications
• On Cyclic Steiner 2-Designs
• Constructions of binary constant-weight cyclic codes and cyclically permutable codes
• A solution of the isomorphism problem for circulant graphs
• Combinatorial constructions of optimal optical orthogonal codes with weight 4
• New constructions of optimal cyclically permutable constant weight codes
• Constructions for optimal constant weight cyclically permutable codes and difference families

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