Ensembles of sequences and arrays

Abstract

Ensembles of periodic binary sequences with low off-peak autocorrelation and cross-correlation are highly valued and difficult to find. The small Kasami, Kamaletdinov 1&2, and Rational Cycle are versatile, because they can be converted into Costas-like arrays for frequency/time hopping. We present a unified construction of such ensembles using linear feedback shift registers.