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arXiv · 1704.03311

$b$-symbol distance distribution of repeated-root cyclic codes

Hojjat Mostafanasab·Esra Sengelen Sevim
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Abstract

Symbol-pair codes, introduced by Cassuto and Blaum [1], have been raised for symbol-pair read channels. This new idea is motivated by the limitation of the reading process in high-density data storage technologies. Yaakobi et al. [8] introduced codes for $b$-symbol read channels, where the read operation is performed as a consecutive sequence of $b>2$ symbols. In this paper, we come up with a method to compute the $b$-symbol-pair distance of two $n$-tuples, where $n$ is a positive integer. Also, we deal with the $b$-symbol-pair distances of some kind of cyclic codes of length $p^e$ over $\mathbb{F}_{p^m}$.

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Hojjat Mostafanasab, Esra Sengelen Sevim. 2017-04-11. $b$-symbol distance distribution of repeated-root cyclic codes. https://arxiv.org/abs/1704.03311

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