New classes of self-complementary codes and quasi-symmetric designs |
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Authors: | Carl Bracken |
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Institution: | (1) School of Mathematics, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland |
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Abstract: | 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. |
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Keywords: | Quasi-symmetric designs Grey Rankin bound Self-complementary codes |
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