Title :
Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences
Author :
Shanbhag, Abhijit G. ; Kumar, P.V. ; Helleseth, Tor
Author_Institution :
Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
1/1/1996 12:00:00 AM
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
Keywords :
Galois fields; code division multiple access; correlation theory; sequences; Galois rings; hybrid exponential sum; maximum aperiodic correlation; q-ary sequences; sequence families; upper bound; Additives; Binary sequences; Councils; Galois fields; Informatics; Information theory; Multiaccess communication; Polynomials; Terrorism; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
