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- W2412425389 abstract "In this note, we investigate the performance of optimal double circulant even codes which are not self-dual, as measured by the decoding error probability in bounded distance decoding. To do this, we classify the optimal double circulant even codes that are not self-dual which have the smallest weight distribution for lengths up to $72$. We also give some restrictions on the weight enumerators of (extremal) self-dual $[54,27,10]$ codes with shadows of minimum weight $3$. Finally, we consider the performance of extremal self-dual codes of lengths $88$ and $112$." @default.
- W2412425389 created "2016-06-24" @default.
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- W2412425389 date "2016-04-23" @default.
- W2412425389 modified "2023-09-24" @default.
- W2412425389 title "On the performance of optimal double circulant even codes" @default.
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- W2412425389 doi "https://doi.org/10.48550/arxiv.1604.06878" @default.
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