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The q -Ary Antiprimitive BCH Codes.
- Source :
-
IEEE Transactions on Information Theory . Mar2022, Vol. 68 Issue 3, p1683-1695. 13p. - Publication Year :
- 2022
-
Abstract
- It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters. Some lower bounds on the minimum distance of antiprimitive BCH codes are given. The BCH codes presented in this paper have good parameters in general, containing many optimal linear codes. In particular, two open problems about the minimum distance of BCH codes of this type are partially solved in this paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*LINEAR codes
*DECODING algorithms
*LIQUID crystal displays
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 68
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 155458614
- Full Text :
- https://doi.org/10.1109/TIT.2021.3131810