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Codes of Steiner triple and quadruple systems

โœ Scribed by J. D. Key; F. E. Sullivan

Publisher
Springer
Year
1993
Tongue
English
Weight
514 KB
Volume
3
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES

Ternary codes of steiner triple systems
Ternary codes of steiner triple systems
โœ J. D. Key ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 339 KB

The code over a finite field F, of a design D is the space spanned by the incidence vectors of the blocks. It is shown here that if D is a Steiner triple system on v points, and if the integer then the ternary code C of contains a subcode that can be shortened to the ternary generalized Reed-Muller

Steiner triple systems of order 15 and t
Steiner triple systems of order 15 and their codes
โœ Vladimir D. Tonchev; Robert S. Weishaar ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 392 KB

The binary linear codes generated by incidence matrices of the 80 Steiner triple systems on 15 points (STS( )) are studied. The 80 codes of length 35 spanned by incidence vectors of the points are all non-isomorphic. In contrast, a pair of codes of length 15 generated by blocks are isomorphic if and