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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 .
Acknowledgements
The authors would like to thank the anonymous referees for their helpful comments, which have significantly improved the presentation of the paper. The work of Y. Xia and X. Zeng was supported in part by the National Science Foundation of China (NSFC) under Grant 60603012 and Chenguang plan of Wuhan City (200850731340). L. Hu's work was supported in part by the NSFC under Grant 60573053.