Generalized Steiner Triple Systems with Group Size Ten
Received:June 03, 2000  
Key Words: generalized Steiner triple system   constant weight codes   holey generalized Steiner triple system   singular indirect product.  
Fund Project:Supported by YNSFC (10001026) for the first author, by Tianyuan Mathematics Foundation of NNSFC and Guangxi Scieuce Foundation and Guangxi Education Committee for the second author.
Author NameAffiliation
GE Gen-man Dept. of Math.
Suzhou University
Jiangsu
China 
WU Dian-hua Dept. of Math.
Guangxi Normal University
Guilin
China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.03.002
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