Maximum weight spectrum codes
Web5 mei 2024 · Metrics. We study the combinatorial function L ( k , q ), the maximum number of nonzero weights a linear code of dimension k over {\mathbb {F}}_q can have. We … Webconjecture was proved correct in [1]. Codes meeting this bound are called maximum weight spectrum (MWS) codes. A further re nement was also investigated in [10] by …
Maximum weight spectrum codes
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Web11 mrt. 2024 · Maximum Weight Spectrum Codes. We prove a conjecture recently proposed by Shi, Zhu, Solé and Cohen on linear codes over a finite field F_q. In that work the … Web17 apr. 2024 · Maximum Weight Spectrum Codes Papers With Code Maximum Weight Spectrum Codes 17 Apr 2024 · Alderson Tim L. , Neri Alessandro · Edit social preview …
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Web8 jun. 2024 · We introduce the concept of spread of a code, and we specialize it to the case of maximum weight spectrum (MWS) codes. We classify two newly-defined sub … Web11 mrt. 2024 · In the recent work [ 9 ], a combinatorial problem concerning linear codes over a finite field \begin{document}$\mathbb{F}_q$\end{document} was introduced. In that …
WebA q-ary linear code of dimension k is called a maximum weight spectrum (MWS) code if it has the maximum possible number (viz. (q^k-1)/(q-1)) of different non-zero weights. We …
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