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On the Correlation Distribution of the Coulter-Matthews Decimation.
- Source :
-
IEEE Transactions on Information Theory . May2006, Vol. 52 Issue 5, p2241-2247. 7p. - Publication Year :
- 2006
-
Abstract
- The distribution of the cross correlation between the ternary m-sequence {st} of period n - 3m - 1 and the decimated sequences {sdt} and {sdt + 1} of period (3m - 1)/2, where d = 3k + 1/2 with k odd and gcd(k, m) = 1 is determined. The method to find this distribution is related to the result by Coulter and Matthews that f(x) = xd is a planar function over GF(3m). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 52
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 20906605
- Full Text :
- https://doi.org/10.1109/TIT.2006.872857