Title :
Complete Mutually Orthogonal Golay Complementary Sets From Reed–Muller Codes
Author :
Rathinakumar, Appuswamy ; Chaturvedi, Ajit Kumar
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., La Jolla, CA
fDate :
3/1/2008 12:00:00 AM
Abstract :
Recently Golay complementary sets were shown to exist in the subsets of second-order cosets of a q-ary generalization of the first-order Reed-Muller (RM) code. We show that mutually orthogonal Golay complementary sets can also be directly constructed from second-order cosets of a q-ary generalization of the first-order RM code. This identification can be used to construct zero correlation zone (ZCZ) sequences directly and it also enables the construction of ZCZ sequences with special subsets.
Keywords :
Golay codes; Reed-Muller codes; orthogonal codes; complete mutually orthogonal Golay complementary sets; first-order Reed-Muller code; g-ary generalization; second-order cosets; zero correlation zone sequences; Bit error rate; Boolean functions; Computational complexity; IP networks; Multiaccess communication; Multipath channels; OFDM; Satellites; Time varying systems; Ultra wideband technology; Complementary sets; Reed–Muller (RM) codes; generalized Boolean function; mutually orthogonal Golay complementary sets; zero correlation zone (ZCZ) sequences;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.915980