By Topic

A method for constructing self-dual codes with an automorphism of order 2

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Bouyuklieva, S. ; Dept. of Pure Math., Delft Univ. of Technol., Netherlands

In this paper, we investigate binary self-dual codes with an automorphism of order 2 with c cycles and f fixed points. A method for constructing such codes using self-orthogonal codes of length c and self-dual codes of length f is presented. We apply this method to construct extremal self-dual codes of lengths 40, 42, 44, 52, 54, and 58. Some of them have weight enumerators for which self-dual codes were previously not known to exist. We prove that there do not exist self-dual [50, 25, 10] and [96, 48, 20] codes with an automorphism of order 2 with f fixed points for f>0 in their automorphism groups

Published in:

Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 2 )