Title :
Periodic binary sequences with the "trinomial property"
Author :
Golomb, Solomon W. ; Gong, Guang
Author_Institution :
Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
Periodic binary sequences with the "trinomial property" are considered. Some necessary and sufficient conditions for "trinomial pairs" of a nonlinear sequence of period 2n-1 as well as classifications for trinomial pairs are derived. Complete searches for trinomial pairs of sequences have been completed for 3≤n≤17. We list them here for n≤12.
Keywords :
binary sequences; nonlinear codes; experimental results; intransitive trinomial pairs; m-sequences; necessary conditions; nonlinear sequence; periodic binary sequences; sufficient conditions; transitive trinomial pairs; trinomial pairs classification; trinomial property; Binary sequences; Codes; Lead; Polynomials; Sufficient conditions;
Journal_Title :
Information Theory, IEEE Transactions on
