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Conflict-avoiding codes and cyclic triple systems

✍ Scribed by V. I. Levenshtein

Book ID: 110179755
Publisher: SP MAIK Nauka/Interperiodica
Year: 2007
Tongue: English
Weight: 437 KB
Volume: 43
Category: Article
ISSN: 0032-9460
DOI: 10.1134/s0032946007030039

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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