IEEE.org| IEEE Xplore Digital Library| IEEE Standards| IEEE Spectrum| More Sites

Cart (Loading....) | Create Account | 

Close category search window
Author Searchbeta |  Advanced Search  |  Preferences |  Search Tips  |  More Search Options  
 
Browse Journals & Magazines > Information Theory, IEEE Tran ...> Volume:51 Issue:11 Help

Rank and kernel of binary Hadamard codes

Full Text Sign-In or Purchase

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

3 Author(s)
Phelps, K.T. ; Dept. of Math. & Stat., Auburn Univ., AL, USA ; Rifa, J. ; Villanueva, M.

In this paper, the rank and the dimension of the kernel for (binary) Hadamard codes of length a power of two are studied. In general, it is well-known that the rank of a Hadamard code of length n=2t is a value in {t+1,...,n/2}. In the present paper, the range of possible values for the dimension of the kernel is computed and a construction of Hadamard codes of length n=2t for each one of these values is given. Lower and upper bounds for the rank and dimension of the kernel of a Hadamard code of length n=2t are also established. Finally, we construct Hadamard codes for all possible ranks and dimension of kernels between these bounds.

Published in:
Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 11 )

Date of Publication: Nov. 2005

Page(s):
3931 - 3937
ISSN :
0018-9448
INSPEC Accession Number:
8628039
Digital Object Identifier :
10.1109/TIT.2005.856940
Product Type:
Journals & Magazines
Date of Current Version :
24 October 2005
Issue Date :
Nov. 2005
Sponsored by :
IEEE Information Theory Society

IEEE Account

Purchase Details

Profile Information

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 2013 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.