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Weight distribution of some cyclic codes
- Authors
- Choi, S.-T.; Kim, J.-Y.; No, J.-S.; Chung, H.
- Issue Date
- 2012
- Keywords
- Cross-correlation; cyclic code; exponential sum; weight distribution
- Citation
- IEEE International Symposium on Information Theory - Proceedings, pp.2901 - 2903
- Journal Title
- IEEE International Symposium on Information Theory - Proceedings
- Start Page
- 2901
- End Page
- 2903
- ISSN
- 0000-0000
- Abstract
- In this paper, for an odd prime p such that p ≡ 3 mod 4, odd n, and d = (p n + 1)/(p k + 1) + (p n - l)/2 with k|n, the value distribution of the exponential sum S(a, b) when a and b run through F p n is calculated. The weight distribution of the relevant cyclic code C over F p with the length L = p n - 1 and the dimension dim FpC = 2n In is also derived. Our result generalizes the case in [5]. © 2012 IEEE.
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