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Optimal Cyclic Codes With Generalized Niho-Type Zeros and the Weight Distribution.
- Source :
- IEEE Transactions on Information Theory; Sep2015, Vol. 61 Issue 9, p4914-4922, 9p
- Publication Year :
- 2015
-
Abstract
- In this paper, we extend two earlier works further in two directions and compute the weight distribution of these cyclic codes under more relaxed conditions. It is interesting to note that many cyclic codes in the family are optimal and have only a few non-zero weights. Besides using similar ideas, we carry out some subtle manipulation of certain exponential sums. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 61
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 108970793
- Full Text :
- https://doi.org/10.1109/TIT.2015.2451657