Title :
Certain exponential sums over Galois rings and related constructions of families of sequences
Author_Institution :
Dept. of Math., Turku Univ., Finland
Abstract :
Upper bounds for certain exponential sums over Galois rings are presented. The bound may be regarded as the Galois ring analogue of the so called Kloosterman sums and related exponential sums with a Laurent polynomial argument. An application of the bounds to the design of large families of polyphase sequences with good correlation properties is also given. The character sums appear naturally as correlation values of certain families of sequences. To arrive at the families all one has to do is to select representatives of cyclically distinct classes of associated codewords
Keywords :
codes; correlation methods; polynomials; sequences; Galois rings; Kloosterman sums; Laurent polynomial argument; codewords; correlation properties; exponential sums; polyphase sequences design; sequences; upper bounds; Additives; Arithmetic; Filling; Jacobian matrices; Polynomials; Upper bound;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.531187