Pseudo Quasi-3 Designs and their Applications to
Journal of Combinatorial Designs, 17 (5).
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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