On the correlation distribution of the Coulter-Matthews decimation

Authors:
G. J. Ness;T. Helleseth;A. Kholosha
Affiliations:
Dept. of Informatics, Univ. of Bergen, Norway;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

Citing 0
Cited 3

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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).