New linear codes derived from binary cyclic codes of length 151
IEE Proceedings (2006)
- DOI: 10.1049/ip-com
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Mohammed Zaki Ahmed's profile on Mendeley.
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Abstract
The minimum distance of all binary cyclic codes of length 151 is determined. Almost all of these cyclic codes have the same parameters as the best linear codes given in Brouwers database. A nested chain of linear codes is derived from these cyclic codes and some new binary codes are obtained by applying ConstructionsXandXXto pairs of codes in this chain.Good candidates for nested codes can also be obtained by enlarging the cyclic codes of highminimum distance. In total, there are 39 new binary linear codes that have a minimum distance higher than codes previously considered to be the best linear codes.
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