Cart (Loading....) | Create Account
Close category search window

Code Enumerators and Tutte Polynomials

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)
Britz, T. ; Sch. of Math. & Stat., Univ. of New South Wales, Sydney, NSW, Australia

It is proved that the set of higher weight enumerators of a linear code over a finite field is equivalent to the Tutte polynomial associated to the code. An explicit expression for the Tutte polynomial is given in terms of the subcode weights. Generalizations of these results are proved and are applied to codeword m-tuples. These general results are used to prove a very general MacWilliams-type identity for linear codes that generalizes most previous extensions of the MacWilliams identity. In addition, a general and very useful matrix framework for manipulating weight and support enumerators of linear codes is presented.

Published in:

Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 9 )

Date of Publication:

Sept. 2010

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.