Two dual families of nonlinear binary codes

Access Full Text

Two dual families of nonlinear binary codes

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
Electronics Letters — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Published

A description is given of two new infinite families of nonlinear binary codes. For all block lengths n = 22m, m ≥ 3, two nonlinear binary codes are defined, which are called dual as their distance distributions satisfy the MacWilliams identities. The first code has minimum distance 8 and has four times as many codewords as the corresponding extended BCH code. In the other code, there are only six distinct nonzero values for the distances between codewords.

Inspec keywords: codes

Other keywords: MacWilliams identities; nonlinear binary codes

Subjects: Codes

References

    1. 1)
      • A.M. Kerdock . A class of low-rate nonlinear codes. Inf. & Control , 182 - 187
    2. 2)
      • F.J. Macwilliams , N.J.A. Sloane , J.M. Goethals . The MacWilliams identities for nonlinear codes. Bell Syst. Tech. J. , 803 - 819
    3. 3)
      • P. Delsarte . An algebraic approach to the association schemes of coding theory. Philips Res. Rep. Suppl. , 10
    4. 4)
      • F.P. Preparata . A class of optimum nonlinear double-error correcting codes. Inf. & Control , 378 - 400
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19740375
Loading

Related content

content/journals/10.1049/el_19740375
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading