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Register a new userBCH codes over $gf(q)$ with length $q^m+1$
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Added by
Xiaoqiang Wang
Publication date
2021
fields
Informatics Engineering
and research's language is
English
Authors
Xiaoqiang Wang
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BCH codes are an interesting class of cyclic codes due to their efficient encoding and decoding algorithms. In many cases, BCH codes are the best linear codes. However, the dimension and minimum distance of BCH codes have been seldom solved. Until now, there have been few results on BCH codes over $gf(q)$ with length $q^m+1$, especially when $q$ is a prime power and $m$ is even. The objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters. The BCH codes presented in this paper have good parameters in general, and contain many optimal linear codes.
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