The automorphism group of a self-dual [72,36,16] code does not contain Z4
Document Type
Article
Publication Date
1-1-2014
Abstract
It has been proven in a series of works that the order of the automorphism group of a self-dual binary [72,36,16] code does not exceed five. Up to equivalence, we obtain a parametrization of all self-dual binary codes of length 72 with automorphism of order four, which can be extremal. We use extensive computations in Magma and on a supercomputer to show that the automorphism group of an extremal self-dual binary code of length 72 does not have an element of order four. © 2014 IEEE.
Recommended Citation
Yorgov, Vassil and Yorgov, Daniel, "The automorphism group of a self-dual [72,36,16] code does not contain Z4" (2014). College of Health, Science, and Technology. 326.
https://digitalcommons.uncfsu.edu/college_health_science_technology/326