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Twisted BCH-codes

✍ Scribed by Yves Edel; Jürgen Bierbauer


Book ID
101295319
Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
176 KB
Volume
5
Category
Article
ISSN
1063-8539

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✦ Synopsis


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.


📜 SIMILAR VOLUMES


BCH convolutional codes
✍ Rosenthal, J.; York, F.V. 📂 Article 📅 1999 🏛 IEEE 🌐 English ⚖ 292 KB
Generalized BCH codes
✍ Robert L. Miller 📂 Article 📅 1979 🏛 Elsevier Science ⚖ 523 KB
BCH codes and Designs
✍ M.L. Agarwal; Seema Gupta 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 201 KB
Ternary Covering Codes Derived from BCH
✍ John C Cock; Patric R.J Östergård 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 250 KB

It is shown how ternary BCH codes can be lengthened to get linear codes with covering radius 2. The family obtained has the ternary Golay code as its first code, contains codes with record-breaking parameters, and has a good asymptotic behavior. The ternary Golay code is further used to obtain short