New classes of self-complementary codes and quasi-symmetric designs
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We present a new technique for constructing binary error correcting codes and give some examples of codes that can be constructed via this method. Among the examples is an infinite family of self-complementary codes with parameters (2u 2−u, 8u 2, u 2−u) that can be constructed whenever there exists a u × u Hadamard Matrix. These codes meet the Grey–Rankin bound and imply the existence of quasi-symmetric designs on 2u 2−u points.
KeywordsQuasi-symmetric designs Grey Rankin bound Self-complementary codes
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- 1.Bracken C, McGuire G, Ward HN (2006) New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices. Designs, Codes and Crytography 41Google Scholar