Title :
On balanced binary sequences with two-level autocorrelation functions
Author_Institution :
Dept. of Math. Sci., Delaware Univ., Newark, DE, USA
fDate :
11/1/1998 12:00:00 AM
Abstract :
Recently, Maschietti (Des., Codes Cryptogr., vol.14, p.89, 1998) constructed several families of (2m-1,2m-1-1,2m-2-1) cyclic difference sets from monomial hyperovals. In this correspondence, we consider the binary sequences associated to the difference sets constructed by Maschietti. We give algebraic proof of the fact that these sequences have two-level autocorrelation functions, also we discuss the linear spans of these sequences
Keywords :
Hadamard transforms; algebra; binary sequences; correlation theory; information theory; set theory; Hadamard transform; algebraic proof; balanced binary sequences; cyclic difference sets; linear spans; monomial hyperovals; two-level autocorrelation functions; Autocorrelation; Binary sequences; Galois fields; Information geometry; Spread spectrum communication;
Journal_Title :
Information Theory, IEEE Transactions on
