By Topic

Decoding the Golay codes

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

1 Author(s)

We introduce exceptionally simple decoding algorithms for the two extended Golay codes. The algorithms are based on recent methods of Conway and Curtis of finding the unique blocks containing five points in either the (5,8,24) Steiner system or the (5,6,12) Steiner system. These decoding methods are simple enough to enable decoding extended Golay codes by hand. Both of the methods involve relations between the extended Golay codes and other self-dual codes. Proofs are given explaining these relationships and why the decoding methods work. The decoding algorithms are explained and illustrated with many examples. [3 , chap. 12] has facts about the Mathieu group and some details about decoding the Golay codes.

Published in:

IEEE Transactions on Information Theory  (Volume:32 ,  Issue: 4 )