مرکز منطقه ای اطلاع رساني علوم و فناوري - A [72,36,16] doubly even code does not have an automorphism of order 11 (Corresp.)

DocumentCode :

943244

Title :

A [72,36,16] doubly even code does not have an automorphism of order 11 (Corresp.)

Author :

Huffman, Cary W. ; Yorgov, V.Y.

Volume :

Issue :

fYear :

1987

fDate :

9/1/1987 12:00:00 AM

Firstpage :

749

Lastpage :

752

Abstract :

We prove that there does not exist a $[72,36,16]$ doubly even code with an automorphism of order $11$ . If such a code exists, it can be decomposed as a direct sum of two codes; one can be viewed as a self-dual $[12,6,4]$ binary code and the other a self-dual $[6,3,4]$ code over $F_{1024}$ . This is shown to be impossible.