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

Shanbhag, A. G. ; Kumar, P. V. ; Helleseth, T. (1996) Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences IEEE Transactions on Information Theory, 42 (1). pp. 250-254. ISSN 0018-9448

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Official URL: http://ieeexplore.ieee.org/document/481796/

Related URL: http://dx.doi.org/10.1109/18.481796

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 /spl radic/qlnq where q-1 is the period of the sequences.

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