Title :
An upper bound for some exponential sums over Galois rings and applications
Author :
Kumar, P. Vijay ; Helleseth, Tor ; Calderbank, A.R.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
27 Jun-1 Jul 1994
Abstract :
An upper bound for Weil-type exponential sums over Galois rings is presented together with some examples where the bound is tight. The bound may be regarded as the Galois-ring analogue of the well-known Weil-Carlitz-Uchiyama bound for exponential sums over finite fields. An application of the bound to the design of large families of eight-phase sequences having low correlation is also given
Keywords :
Galois fields; correlation methods; sequences; CDMA; Galois rings; Weil-type exponential sums; correlation; eight-phase sequences; finite fields; upper bound; Communication systems; Councils; Informatics; Multiaccess communication; Polynomials; Upper bound;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.394900
