Author:
c Dean Crnkovi, ,Grbac Ana,Svob Andrea v, ,
Abstract
In 2002, P. Gaborit introduced two constructions of self-dual codes using quadratic residues, so-called pure and bordered construction, as a generalization of the Pless symmetry codes.
In this paper, we further study conditions under which the pure and the bordered construction using Paley designs and Paley graphs yield self-dual codes.
Special attention is given to the binary and ternary codes.
Further, we construct \(t\)-designs from supports of the codewords of a particular weight in the binary and ternary codes obtained.
Publisher
University of Zagreb, Faculty of Science, Department of Mathematics
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