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Discrete Mathematics
BCH codes are a subclass of cyclic codes with many interesting properties. Over the last sixty years, a lot of progress has been made in the study of BCH codes. This survey paper presents the state-of-the-art of BCH cyclic codes and their applications.
Ding, Cunsheng
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BCH codes are a subclass of cyclic codes with many interesting properties. Over the last sixty years, a lot of progress has been made in the study of BCH codes. This survey paper presents the state-of-the-art of BCH cyclic codes and their applications.
Ding, Cunsheng
exaly +4 more sources
The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
SIAM Journal on Discrete Mathematics, 2017 Due to wide applications of BCH codes, the determination of their minimum distance is of great interest. However, this is a very challenging problem for which few theoretical results have been reported in the last four decades.
Shuxing Li
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On classical BCH codes and quantum BCH codes
Journal of Electronics (China), 2009It is a regular way of constructing quantum error-correcting codes via codes with self-orthogonal property, and whether a classical Bose-Chaudhuri-Hocquenghem (BCH) code is self-orthogonal can be determined by its designed distance. In this paper, we give the sufficient and necessary condition for arbitrary classical BCH codes with self-orthogonal ...
Yajie Xu, Zhi Ma, Chunyuan Zhang
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Journal of Combinatorial Designs, 1997
Summary: We develop the theory of a generalization of the notion of BCH-code to additive codes, which are not necessarily linear. The usefulness of this notion is demonstrated by constructing a large number of record-breaking linear codes via concatenation.
Edel, Yves, Bierbrauer, Jürgen
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Summary: We develop the theory of a generalization of the notion of BCH-code to additive codes, which are not necessarily linear. The usefulness of this notion is demonstrated by constructing a large number of record-breaking linear codes via concatenation.
Edel, Yves, Bierbrauer, Jürgen
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2009
The Code for the Construction and Equipment of Ships Carrying Dangerous Chemicals in Bulk (BCH Code) presents amendments to the Code to reflect the 2007 revision of MARPOL Annex II and other amendments related to:Survey and certificationMaterials of constructionFire protectionPersonnel protectionCertificate of fitness for the carriage of dangerous ...
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The Code for the Construction and Equipment of Ships Carrying Dangerous Chemicals in Bulk (BCH Code) presents amendments to the Code to reflect the 2007 revision of MARPOL Annex II and other amendments related to:Survey and certificationMaterials of constructionFire protectionPersonnel protectionCertificate of fitness for the carriage of dangerous ...
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Soft BCH-ideals and Idealistic Soft BCH-algebras
2010 International Conference on Artificial Intelligence and Computational Intelligence, 2010Applying soft sets to BCH-algebras, the concepts of soft BCH-ideals and idealistic soft BCH-algebras are introduced, and several examples are given. The intersection, union and “AND” operations of soft BCH-ideals and idealistic soft BCH-algebras are established.
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