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An Infinite Family of Steiner Systems from Cyclic Codes.
- Source :
- Journal of Combinatorial Designs; Mar2018, Vol. 26 Issue 3, p127-144, 18p
- Publication Year :
- 2018
-
Abstract
- Abstract: Steiner systems are a fascinating topic of combinatorics. The most studied Steiner systems are S ( 2 , 3 , v ) (Steiner triple systems), S ( 3 , 4 , v ) (Steiner quadruple systems), and S ( 2 , 4 , v ). There are a few infinite families of Steiner systems S ( 2 , 4 , v ) in the literature. The objective of this paper is to present an infinite family of Steiner systems S ( 2 , 4 , 2 m ) for all m ≡ 2 ( mod 4 ) ≥ 6 from cyclic codes. As a by‐product, many infinite families of 2‐designs are also reported in this paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 26
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 127241937
- Full Text :
- https://doi.org/10.1002/jcd.21565