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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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Shortened BCH codes (Corresp.)
IEEE Transactions on Information Theory, 1973By shortening certain binary primitive BCH codes, we derive a number of linear error-correcting codes with minimum distances superior to any known previously. We also give the weight spectra of three nonprimitive BCH codes whose minimum distances likewise constitute a significant improvement over those of the best codes previously known.
H. Helgert, R. Stinaff
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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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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, Li, Chengju
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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, Li, Chengju
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2020
Bislang haben wir uns nur die Linearitat zunutze gemacht und noch keine fortgeschritteneren Methoden der Algebra verwendet. Rechnen mit Matrizen ist fur praktische Zwecke aber zu komplex. Wesentlich einfacher ist das Rechnen mit Polynomen, die auch in fruheren Kapiteln bereits eine wichtige Rolle gespielt haben.
Gisbert Wüstholz, Clemens Fuchs
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Bislang haben wir uns nur die Linearitat zunutze gemacht und noch keine fortgeschritteneren Methoden der Algebra verwendet. Rechnen mit Matrizen ist fur praktische Zwecke aber zu komplex. Wesentlich einfacher ist das Rechnen mit Polynomen, die auch in fruheren Kapiteln bereits eine wichtige Rolle gespielt haben.
Gisbert Wüstholz, Clemens Fuchs
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Proceedings IEEE Southeastcon '95. Visualize the Future, 2002
BCH codes are powerful error-correcting codes. Algorithms used for decoding must be able to find the error locations, and for nonbinary codes, the error magnitudes. One of the most efficient algorithms for decoding BCH codes is Berlekamp's algorithm. To find the error locations the algorithm must solve a set of t equations in t unknowns.
L.L. Joiner, J.J. Komo
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BCH codes are powerful error-correcting codes. Algorithms used for decoding must be able to find the error locations, and for nonbinary codes, the error magnitudes. One of the most efficient algorithms for decoding BCH codes is Berlekamp's algorithm. To find the error locations the algorithm must solve a set of t equations in t unknowns.
L.L. Joiner, J.J. Komo
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Some negacyclic BCH codes and quantum codes
Quantum Information Processing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junli Wang +3 more
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Cryptography and Communications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Entanglement-Assisted Quantum Negacyclic BCH Codes
International Journal of Theoretical Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xiaojing +2 more
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