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Generalized Steiner systems with block size three and group size g ≡ 3(mod 6)

✍ Scribed by Kevin Phelps; Carol Yin

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 228 KB
Volume: 5
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1997)5:6<417::aid-jcd3>3.0.co;2-i

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✦ Synopsis

Generalized Steiner Systems, GS(2,3, n, g), are equivalent to maximum constant weight codes over an alphabet of size g + 1 with distance 3 and weight 3 in which each codeword has length n. We construct Generalized Steiner Triple Systems, GS(2, 3, n, g), when g ≡ 3(mod 6).

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✍ K. Chen; G. Ge; L. Zhu 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB 👁 1 views

Generalized Steiner triple systems, GS(2, 3, n, g) are used to construct maximum constant weight codes over an alphabet of size g 1 with distance 3 and weight 3 in which each codeword has length n. The existence of GS(2, 3, n, g) has been solved for g 2, 3, 4, 9. In this paper, by introducing a spec