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Classification of steiner quadruple systems of order 16 and rank 14

Authors :
Zinoviev, V.
Zinoviev, D.
Source :
Problems of Information Transmission; September 2006, Vol. 42 Issue: 3 p217-229, 13p
Publication Year :
2006

Abstract

Abstract: All 708 103 nonisomorphic Steiner systems S(16, 4, 3) of order 16 and rank 14 over F <subscript>2</subscript> are enumerated. Among them there are exactly 1059 homogeneous systems. It is shown that all the 708 103 Steiner systems can be obtained by the general doubling construction presented in the paper.

Details

Language :
English
ISSN :
00329460 and 16083253
Volume :
42
Issue :
3
Database :
Supplemental Index
Journal :
Problems of Information Transmission
Publication Type :
Periodical
Accession number :
ejs10403232
Full Text :
https://doi.org/10.1134/S0032946006030057