Complete Mutually Orthogonal Golay Complementary Sets From Reed–Muller Codes

Authors:
A. Rathinakumar;A. K. Chaturvedi
Affiliations:
Dept. of Electr. & Comput. Eng., California Univ., La Jolla, CA;-
Venue:
IEEE Transactions on Information Theory
Year:
2008

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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.