Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences

Authors:
A. G. Shanbhag;P. V. Kumar;T. Helleseth
Affiliations:
Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

Citing 0
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Abstract

An upper bound for a hybrid exponential sum over Galois rings is derived. This bound is then used to obtain an upper bound for the maximum aperiodic correlation of some sequence families over Galois rings. The bound is of the order of √qlnq where q-1 is the period of the sequences