数学研究与评论
數學研究與評論
수학연구여평론
JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
2003年
3期
391-396
,共6页
generalized Steiner triple system%constant weight codes%holey generalized Steiner triple system%singular indirect product
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.
廣義Steiner三元繫GS(2,3,n,g)等價于g+1元最優常重量碼(n,3,3).本文證明瞭GS(2,3,n,10)存在的必要條件n≡0,1(mod3),n≥12也是充分的.
엄의Steiner삼원계GS(2,3,n,g)등개우g+1원최우상중량마(n,3,3).본문증명료GS(2,3,n,10)존재적필요조건n≡0,1(mod3),n≥12야시충분적.
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.
