Title :
Hadamard transforms of three-term sequences
Author :
Gong, Guang ; Golomb, Solomon W.
Author_Institution :
Dept. of Combinatorics & Optimization, Waterloo Univ., Ont., Canada
fDate :
9/1/1999 12:00:00 AM
Abstract :
Certain three-term sequences of period 2n-l are conjectured to have the two-level autocorrelation property. In this note, a formula involving Hadamard transforms of three-term sequences is presented. Its validity has been verified by computer on the range of 5⩽n⩽23
Keywords :
Galois fields; Hadamard transforms; binary sequences; correlation theory; m-sequences; Hadamard transforms; three-term sequences; two-level autocorrelation property; Block codes; Conferences; Feedback; Information theory; Memoryless systems; Notice of Violation; Publishing; Random processes; Upper bound; Welding;
Journal_Title :
Information Theory, IEEE Transactions on