A duality theorem for the weight distribution of some cyclic codes
- 1 September 1988
- journal article
- letter
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 34 (5) , 1348-1351
- https://doi.org/10.1109/18.21268
Abstract
A close relationship between the weight enumerators of two cyclic codes is presented. The weights of the codewords are expressed in terms of Kloosterman sums. The Weil-Carlitz-Uchiyama estimate for Kloosterman sums is used to obtain bounds for the minimum distance of the codes. A relation with negacyclic codes is discussedKeywords
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