The Automorphism Group of an Extremal {72, 36, 16} Code Does Not Contain Z7, Z3×Z3, or D10
نویسندگان
چکیده
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 either the dihedral group of order 10, the elementary abelian group of order 9, or the cyclic group of order 7. Combining this with the known results in the literature one obtains that the order of Aut(C) is either 5 or divides 24.
منابع مشابه
The automorphism group of a self-dual binary [72,36,16] code does not contain Z7, Z3xZ3, or D10
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 either the dihedral group D10 of order 10, the elementary abelian group Z3 ×Z3 of order 9, or the cyclic group Z7 of order 7. 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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عنوان ژورنال:
- IEEE Trans. Information Theory
دوره 58 شماره
صفحات -
تاریخ انتشار 2012