Results 111 to 120 of about 1,348 (148)

A class of constacyclic BCH codes

Cryptography and Communications, 2019
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Zhonghua Sun 0001, Shixin Zhu, Liqi Wang
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On the duals of binary BCH codes

IEEE Transactions on Information Theory, 2001
Summary: We give bounds for the minimal distance of duals of binary Bose-Chaudhuri-Hocquenghem (BCH) codes in a range where the Carlitz-Uchiyama bound is trivial. This is done by estimating the number of points on certain curves over finite fields.
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On Fuzzifying Ideals in BCH-algebras

2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
The aim of this paper is to extend fuzzifying BCHalgebra by introducing a unary predicate and by adopting the semantic method of continuous lattice valued logic. We define the concepts of fuzzifying sub algebras, fuzzifying ideals, fuzzifying closed ideals, fuzzifying q-ideals and fuzzifying implicative ideals in BCH-algebras, and discuss the relations
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BCH-koodeista

2021
Tämän tutkielman tarkoituksena on tutustuttaa lukija BCH-koodeihin. BCH-koodit ovat syklisiä koodeja ja ne pystyvät korjaamaan useita virheitä. Tutkielmassa esitetään erilaisia tapoja korjata koodisanoihin tulleita virheitä käyttäen hyväksi äärellisten kuntien teoriaa ja lineaari- sekä polynomialgebraa.
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Nonbinary BCH decoding (Abstr.)

IEEE Transactions on Information Theory, 1968
The decoding of BCH codes readily reduces to the solution of a certain key equation. An iterative algorithm is presented for solving this equation over any field. Following a heuristic derivation of the algorithm, a complete statement of the algorithm and proofs of its principal properties are given.
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Three classes of BCH codes and their duals

Discrete Mathematics, 2023
Yanhui Zhang
exaly  

BCH Codes

2021
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The q-Ary Antiprimitive BCH Codes

IEEE Transactions on Information Theory, 2022
Hongwei Zhu, Xiaoqiang Wang, Minjia Shi   +2 more
exaly  

On subgroup subcodes of BCH codes

J. Inf. Process. Cybern., 1991
Summary: 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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New Look at BCH

New England Journal of Medicine, 1969
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