Abstract
For an even integer n≥4 and an odd prime p, a new family of p-ary sequences with period p n −1 is constructed, and it generalizes the construction of binary Kasami sequences in the large set. The proposed family has maximum correlation p (n/2)+1+1 and family size p 3n/2. The correlation distribution is completely determined by the number of solutions to a system of equations over the finite field .
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