On the correlation distribution of the Coulter-Matthews decimation
Geir Jarle Ness, Tor Helleseth, Alexander Kholosha · IEEE Transactions on Information Theory · 2006
The distribution of the cross correlation between the ternary m-sequence {s/sub t/} of period n=3/sup m/-1 and the decimated sequences {s/sub dt/} and {s/sub dt+1/} of period (3/sup m/-1)/2, where d=3/sup k/+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)=x/sup d/ is a planar function over GF(3/sup m/).