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Zbl 0818.05023
Koukouvinos, C.; Kounias, S.; Seberry, Jennifer; Yang, C.H.; Yang, J.
Multiplication of sequences with zero autocorrelation.
(English)
[J] Australas. J. Comb. 10, 5-15 (1994). ISSN 1034-4942

This paper may be regarded as a continuation of the paper by the authors [On sequences with zero autocorrelation, Des. Codes Cryptography 4, No. 4, 327-340 (1994; Zbl 0808.05021)]. Main results of the present paper may be stated as follows: A set of near normal sequences of length $n= 4m+ 1$ is defined as a quadruple of $(- 1,0,1)$-sequences of length $2m$ satisfying certain conditions including zero nonperiodic autocorrelation. Then it is shown that a Golay sequence of length $2n$ can be built from a special set of near normal sequences of length $n$.\par Furthermore, a clear-cut proof of a result by {\it C. H. Yang} [Proc. Am. Math. Soc. 107, No. 3, 763-776 (1989; Zbl 0675.94018)] on near normal sequences is given. Many interesting numerical results are also obtained.
[N.Ito (Nagoya-Tenpaku)]
MSC 2000:
*05B20 (0,1)-matrices (combinatorics)
68R05 Combinatorics in connection with computer science

Keywords: $T$-sequence; Yang number; near normal sequences; zero nonperiodic autocorrelation; Golay sequence

Citations: Zbl 0808.05021; Zbl 0675.94018

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