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Mutually Disjoint 5-Designs From Pless Symmetry Codes

  • Masayuki Angata
  • Keisuke Shiromoto
Article

Abstract

Pless (1972) defines symmetry codes over the field of three elements, called the Pless symmetry codes, and shows that some of these codes yield 5-designs. In this article, we generalize the construction of mutually disjoint Steiner systems studied in Jimbo and Shiromoto (2009) to 5-designs related to a certain class of Pless symmetry codes. As a consequence, we derive new simple 5-designs from the construction.

05B05 94B05 

Keywords

Pless symmetry code Self-dual code Simple 5-design 

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References

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Copyright information

© Grace Scientific Publishing 2012

Authors and Affiliations

  1. 1.Denso CorporationAichiJapan
  2. 2.Department of Mathematics and EngineeringKumamoto UniversityKumamotoJapan

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