Title :
Sets of complementary sequences
Author_Institution :
University of Illinois at Urbana-Champaign, Coordinated Science Laboratory, Urbana, USA
Abstract :
A set of complementary sequences is a set of sequences such that, for each nonzero offset, the out-of-phase aperiodic autocorrelations of all the sequences sum to zero. It is shown that the sequences from any coset of an (N, m) nondegenerate minimal linear cyclic code over GF(p) form a set of complex-valued complementary sequences of length N.
Keywords :
codes; codes; complex-valued complementary sequences; coset; nondegenerate minimal linear cyclic code; nonzero offset; out-of-phase aperiodic autocorrelations;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19830484
