By Topic

On the number of minimum weight codewords of SFA-LDPC 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)
Kaji, Y. ; Grad. Sch. of Inf. Sci., Nara Inst. of Sci. & Technol., Ikoma, Japan

The number of minimum weight codewords is an important parameter to measure the potential performance of a linear block code. This paper studies the number of minimum weight codewords of simple and full-length array (SFA) LDPC codes. The notion of a cyclic shift closure is introduced, and it is shown that the set of minimum weight codewords of the code is partitioned by cyclic shift closures of minimum weight codewords. Each cyclic shift closure is generated from a special codeword. With the help of computer experiment, general algebraic forms of the special codewords are determined. As the result, the numbers of minimum weight codewords of several classes of SFA-LDPC codes are clearly expressed by formulas.

Published in:

Information Theory, 2009. ISIT 2009. IEEE International Symposium on

Date of Conference:

June 28 2009-July 3 2009