Title :
A Putative Doubly Even [72,36,16] Code Does Not Have an Automorphism of Order 9
Author_Institution :
Fac. of Math. & Inf., Shumen Univ., Shumen, Bulgaria
Abstract :
In this paper, we prove that there does not exist a binary self-dual doubly even code with an automorphism of order 9. To do so, we apply a method for constructing binary self-dual codes possessing an automorphism of order for an odd prime .
Keywords :
binary codes; dual codes; automorphism; binary self-dual codes; binary self-dual doubly even code; putative doubly even [72,36,16] code; Binary codes; Cryptography; Generators; Polynomials; Publishing; Automorphisms; self-dual codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2165829
