Binary doubly-even self-dual codes of length 72 with large automorphism groups (CROSBI ID 197530)
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Crnković, Dean ; Rukavina, Sanja ; Simčić, Loredana
engleski
Binary doubly-even self-dual codes of length 72 with large automorphism groups
We study binary linear codes constructed from fifty-four Hadamard 2-(71, 35, 17) designs. The constructed codes are self-dual, doubly-even and self-complementary. Since most of these codes have large automorphism groups, they are suitable for permutation decoding. Therefore we study PD-sets of the obtained codes. We also discuss error-correcting capability of the obtained codes by majority logic decoding. Further, we describe a construction of a 3-(72, 12, 11) design and a 3-(72, 16, 2010) design from a binary [72, 16, 12] code, and a construction of a strongly regular graph with parameters (126, 25, 8, 4) from a binary [35, 8, 4] code related to a derived 2-(35, 17, 16) design.
self-dual code; Hadamard matrix; strongly regular graph
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