Title :
On the automorphism group of a doubly-even (72,36,16) code
Author :
Bouyuklieva, Stefka
Author_Institution :
Dept. of Math. & Informatics, Univ. of Veliko Tarnovo, Bulgaria
fDate :
3/1/2004 12:00:00 AM
Abstract :
We prove that a putative doubly-even (72,36,16) code has no automorphism of order 3 with fixed points. Moreover, such a code has no automorphism of an odd order greater than 7. Eventually, we prove that 25 and 49 do not divide the order of its automorphism group.
Keywords :
Hamming codes; dual codes; automorphism group; doubly-even code; self-dual codes; Codes; Informatics; Mathematics;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.825252
