The automorphism group of a self-dual binary [72,36,16] code does not contain Z7, Z3xZ3, or D10

Details The automorphism group of a self-dual binary [72,36,16] code does not contain Z7, Z3xZ3, or D10 The automorphism group of a self-dual binary [72,36,16] code does not contain Z7, Z3xZ3, or D10

2011-10-27

arxiv.org/abs/1110.6012v2

Computer Science

Information Theory

Scientific paper

A computer calculation with Magma shows that there is no extremal self-dual
binary code C of length 72 that has an automorphism group containing D10,
Z3xZ3, or Z7. Combining this with the known results in the literature one
obtains that Aut(C) is either Z5 or has order dividing 24.

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