Optimal constant weight codes over \(Z_k\) and generalized designs

DOI10.1016/0012-365X(95)00333-RzbMath0974.05016MaRDI QIDQ1357723

Tuvi Etzion

Publication date: 27 February 2001

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Steiner systemsconstant weight codesMDS codesgeneralized \(t\)-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other types of codes (94B60) Triple systems (05B07)

Related Items (27)

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 ⋮ Optimal FHSs and DSSs via near zero-difference balanced functions ⋮ Group divisible designs with large block sizes ⋮ A family of diameter perfect constant-weight codes from Steiner systems ⋮ Completely reducible super-simple designs with block size four and related super-simple packings ⋮ Divisible designs, Laguerre geometry, and beyond ⋮ Generalized steiner triple systems with group size five ⋮ Construction of optimal ternary constant weight codes via Bhaskar Rao designs ⋮ A new combinatorial approach to the construction of constant composition codes ⋮ Maximum distance holey packings and related codes ⋮ Completely reducible super-simple designs with block size five and index two ⋮ 4‐*GDD(6ⁿ)s and Related Optimal Quaternary Constant‐Weight Codes ⋮ Existence of generalized Steiner systems \(\text{GS}(2,4,v,2)\) ⋮ Clique matchings in the \(k\)-ary \(n\)-dimensional cube ⋮ Generalized Steiner systems GS4 (2, 4, v, g) for g = 2, 3, 6 ⋮ Undetected error probability of \(q\)-ary constant weight codes ⋮ Constructions for generalized Steiner systems \(\mathrm{GS}(3,4,v,2)\) ⋮ A New Construction of Group Divisible Designs with Nonuniform Group Type ⋮ Generalized Steiner triple systems with group size \(g\equiv 0,3 \pmod 6\) ⋮ Starters and related codes ⋮ Two-weight codes: upper bounds and new optimal constructions ⋮ 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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• Optical orthogonal codes: design, analysis and applications
• Generalized Hadamard Matrices
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• On Some Tactical Configurations

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