Mutually Disjoint 5-Designs From Pless Symmetry Codes
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.
KeywordsPless symmetry code Self-dual code Simple 5-design
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