DMCA
Multiplications of Ternary Complementary Pairs (1995)
| Venue: | Australasian Journal of Combinatorics |
| Citations: | 3 - 3 self |
BibTeX
@ARTICLE{Gysin95multiplicationsof,
author = {Marc Gysin and Jennifer Seberry},
title = {Multiplications of Ternary Complementary Pairs},
journal = {Australasian Journal of Combinatorics},
year = {1995},
volume = {14},
pages = {165--180}
}
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Abstract
We present a computer--search method for concatenating or "multiplying" binary or ternary complementary pairs. All multiplications by a particular number m are considered. The computer--search method is new and leads to a large set of new results. The results and equivalences are discussed and some applications and numerical consequences are shown. Keywords: Golay sequences, binary complementary pairs, ternary complementary pairs, autocorrelation function, Hadamard matrices, weighing matrices. 1 Introduction The definition of the nonperiodic autocorrelation function is given as follows. Definition 1 (Nonperiodic Autocorrelation Function) Let X = ffx 11 ; : : : ; x 1n g; fx 21 ; : : : ; x 2n g, : : : ; : : : ; fxm1 ; : : : ; xmn gg be a family of m sequences of elements 1, 0 and \Gamma1 and length n. The nonperiodic autocorrelation function of the family of sequences X , denoted by NX , is a function defined by NX (s) = n\Gammas X i=1 (x 1i x 1;i+s + x 2i x 2;i+s + : : : + x ...
