| 葛根年,吴佃华.组大小为10的广义Steiner三元系(英文)[J].数学研究及应用,2003,23(3):391~396 |
| 组大小为10的广义Steiner三元系(英文) |
| Generalized Steiner Triple Systems with Group Size Ten |
| 投稿时间：2000-06-03 |
| DOI：10.3770/j.issn:1000-341X.2003.03.002 |
| 中文关键词: |
| 英文关键词:generalized Steiner triple system constant weight codes holey generalized Steiner triple system singular indirect product. |
| 基金项目: |
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| 中文摘要: |
| 广义Steiner三元系GS(2,3,n,g)等价于g+1元最优常重量码(n,3,3)。本文证明了GS(2,3,n,10)存在的必要条件n≡0,1(mod3),n≥12也是充分的。 |
| 英文摘要: |
| Generalized Steiner triple systems, GS(2, 3, n, g) are equivalent to (g+1)-ary maximum constant weight codes (n, 3,3)s. In this paper, it is proved that the necessary conditions for the existence of a GS(2,3, n, 10), namely, n ≡ 0,1 (mod 3) and n ≥ 12, are also sufficient. |
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