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Titlebook: Algebraic Coding; First French-Soviet Gérard Cohen,Antoine Lobstein,Simon Litsyn Conference proceedings 1992 Springer-Verlag Berlin Heidel

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Blockchain-Plattformen und AbleitungenConstructions of nonbinary linear codes with covering radius . = 2 are considered. Infinite families of linear .-ary codes with . 2, . ≥ 4, and a table of quaternary linear codes with . = 2, redundancy . ≤ 20, are given.
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https://doi.org/10.1007/978-3-031-29559-1We present some new lower and upper bounds for the covering radius of codes dual to the product of parity check codes.
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https://doi.org/10.1007/978-3-658-39056-3We consider nonbinary codes with growing length and fixed distance. Linear double-error correcting codes over an arbitrary field . with length . = q. and . ⩽ 2(. + 1) + [./3] check symbols are constructed. Codes with greater distances are also studied.
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Our Approach for Cooperative Reasoning,Bounds for the minimum distance and the error probability of decoding for tail biting convolutional codes are presented. We propose a decoding algorithm for these codes and obtain a bound for the asymptotical complexity of almost maximum likelihood decoding.
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