Symmetric Block Designs and Optimal Equidistant Codes
Autor: | Vladimir S. Lebedev, L. A. Bassalygo, Victor Zinoviev |
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Rok vydání: | 2020 |
Předmět: |
Computer Networks and Communications
020206 networking & telecommunications 02 engineering and technology Construct (python library) Computer Science Applications Block design Combinatorics 020303 mechanical engineering & transports 0203 mechanical engineering Block (telecommunications) 0202 electrical engineering electronic engineering information engineering Equidistant Special case Ternary operation Information Systems Mathematics |
Zdroj: | Problems of Information Transmission. 56:245-252 |
ISSN: | 1608-3253 0032-9460 |
DOI: | 10.1134/s0032946020030023 |
Popis: | We prove that any symmetric block design (v, k, λ) generates optimal ternary and quaternary constant-weight equidistant codes, whose parameters n, N, w, d, q are uniquely determined by the parameters of the block design. For one rather special case, we construct symbolwise uniform equidistant codes of the minimum length. |
Databáze: | OpenAIRE |
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