By Topic

Monomials of orders 7 and 11 cannot be in the group of a (24, 12, 10) self-dual quaternary code (Corresp.)

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
$33 $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

2 Author(s)

It is an interesting open question whether a self-dual quaternary (24,12,10) code C exists. It was shown by Conway and Pless that the only primes which can be orders of permutations in the group of C are 11, 7, and 3. In this correspondence we eliminate 11 and 7 not only as permutations but also as orders of monomials in the group of C . This is done by reducing the problems to the consideration of several codes and finding low weight vectors in these codes.

Published in:

IEEE Transactions on Information Theory  (Volume:29 ,  Issue: 1 )