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Symmetric Block Designs and Optimal Equidistant Codes
Problems of Information Transmission ( IF 0.5 ) Pub Date : 2020-10-19 , DOI: 10.1134/s0032946020030023 L. A. Bassalygo , V. A. Zinoviev , V. S. Lebedev
中文翻译:
对称块设计和最佳等距代码
更新日期:2020-10-19
Problems of Information Transmission ( IF 0.5 ) Pub Date : 2020-10-19 , DOI: 10.1134/s0032946020030023 L. A. Bassalygo , V. A. Zinoviev , V. S. Lebedev
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.
中文翻译:
对称块设计和最佳等距代码
我们证明,任何对称块设计(v, k,λ)都会生成最优的三元和四元等权重等距代码,其参数n, N, w, d, q由块设计的参数唯一地确定。对于一种相当特殊的情况,我们构造了最小长度的符号均匀等距代码。