Pseudo Quasi-3 Designs and their Applications to Coding Theory

Details Pseudo Quasi-3 Designs and their Applications to Coding Theory Pseudo Quasi-3 Designs and their Applications to Coding Theory

2008-04-10

arxiv.org/abs/0804.1740v1

Mathematics

Combinatorics

9 pages, submitted to the European Journal of Comniatorics

Scientific paper

We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi-3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound.

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