Self-Dual Codes and Self-Dual Designs
We construct self-orthogonal binary codes from projective 2 - (v, k, λ) designs with a polarity, k odd, and λ even. We give arithmetic conditions on the parameters of the design to obtain self-dual or doubly even self-dual codes. Non existence results in the latter case are obtained from rationality conditions of certain strongly regular graphs.
KeywordSelf-dual codes symmetric designs null polarities symplectic polarities Hadamard designs biplanes strongly regular graphs
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- E. F. Assmus, Jr., H. F. Mattson, Jr., Algebraic theory of codes II, AFCRL-71-0013, Final Report, 15 October 1970, Part II.Google Scholar