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On the Distance Distributions of BCH Codes and Their Duals
Designs, Codes and Cryptography, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilia Krasikov, Simon Litsyn
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IEEE Transactions on Information Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuxing Li +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuxing Li +3 more
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1992
Abstract The polynomial corresponding to a word w will be denoted by w(x), using the same letter, indeed we shall eventually identify words and polynomials. The set of all binary polynomials of degree less than n will be denoted by Pn (P for polynomial, but note that the maximum degree is n -1).
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Abstract The polynomial corresponding to a word w will be denoted by w(x), using the same letter, indeed we shall eventually identify words and polynomials. The set of all binary polynomials of degree less than n will be denoted by Pn (P for polynomial, but note that the maximum degree is n -1).
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On subgroup subcodes of BCH codes
J. Inf. Process. Cybern., 1991Summary: An approach to multiple errors correcting \(q\)-ary codes, viewed as subgroup subcodes of BCH codes, is presented. It has been shown that in the case of \(d\leqq q=p^ l\) for an infinite sequence of lengths the cardinality of obtained codes exceeds the cardinality of the corresponding BCH codes not less than \((q/p)^{d-2}\) times, i.e.
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Two families of negacyclic BCH codes
Designs, Codes, and Cryptography, 2023Xiaoqiang Wang +2 more
exaly
Dimensions of three types of BCH codes over
Discrete Mathematics, 2017Cunsheng Ding, Chengju Li
exaly