Title :
The Automorphism Group of a Binary Self-Dual Doubly Even
![[72,36,16]](/images/tex/368.gif)
Code is Solvable
Author :
Bouyuklieva, Stefka ; O´Brien, E.A. ; Willems, Wolfgang
Author_Institution :
Otto-von-Guericke Univ. of Magdeburg
Abstract :
In this correspondence, we prove that the automorphism group of a putative binary self-dual doubly even [72,36,16] code is solvable. Moreover, its order is 5,7,10,14,56, or a divisor of 72
Keywords :
binary codes; dual codes; group codes; automorphism group; binary code; doubly even code; self-dual code; Algebra; Binary codes; Hamming weight; Informatics; Linear code; Mathematics; Rain; Vectors; Automorphisms; self-dual codes; self-orthogonal codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.880048