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Generalized Steiner Triple Systems with Group Sizeg≡ 0,3 (mod 6)

✍ Scribed by Gen-nian Ge


Book ID
106301559
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
148 KB
Volume
18
Category
Article
ISSN
0168-9673

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Generalized Steiner systems with block s
✍ Kevin Phelps; Carol Yin 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 2 views

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).

Generalized steiner triple systems with
✍ K. Chen; G. Ge; L. Zhu 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB 👁 2 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