Constant weight codes and group divisible designs

DOI10.1023/A:1008318207622zbMath0945.05011OpenAlexW1500003238MaRDI QIDQ1283216

Simon Blake-Wilson, Kevin T. Phelps

Publication date: 8 October 2000

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

Full work available at URL: https://doi.org/10.1023/a:1008318207622

zbMATH Keywords

generalized Steiner systemsoptimal constant weight codes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Other types of codes (94B60) Triple systems (05B07) Combinatorial codes (94B25)

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The completion of optimal cyclic quaternary codes of weight 3 and distance 3 ⋮ A survey on maximum distance holey packings ⋮ On large set plus of disjoint incomplete Latin squares ⋮ Completely reducible super-simple designs with block size four and related super-simple packings ⋮ Generalized steiner triple systems with group size five ⋮ Completely reducible super-simple designs with block size five and index two ⋮ Existence of generalized Steiner systems \(\text{GS}(2,4,v,2)\) ⋮ Generalized Steiner systems GS4 (2, 4, v, g) for g = 2, 3, 6 ⋮ Constructions for generalized Steiner systems \(\mathrm{GS}(3,4,v,2)\) ⋮ Starters and related codes ⋮ Constructions of optimal quaternary constant weight codes via group divisible designs ⋮ Optimal three-dimensional optical orthogonal codes of weight three ⋮ Hanani triple packings and optimal \(q\)-ary codes of constant weight three ⋮ Combinatorial designs and perfect codes

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