Title :
On the Automorphism Group of a Binary Self-Dual Doubly Even
Code
Author :
O´Brien, E.A. ; Willems, Wolfgang
Author_Institution :
Dept. of Math., Univ. of Auckland, Auckland, New Zealand
fDate :
7/1/2011 12:00:00 AM
Abstract :
We prove that the automorphism group of a binary self-dual doubly even [72, 36, 16] code has order 5, 7, 10, 14 or d where d divides 18 or 24, or it is A4 × C3.
Keywords :
binary codes; dual codes; automorphism group; binary self-dual doubly even codes; Binary codes; Indexes; Libraries; Orbits; Vectors; Automorphism group; extremal code of length 72;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2145850