By Topic

A Lower Bound on the Probability of Undetected Error for Binary Constant Weight 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
$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)
Shu-Tao Xia ; Graduate Sch. at Shenzhen, Tsinghua Univ., Beijing ; Fang-Wei Fu ; San Ling

In this paper, we study the probability of undetected error for binary constant weight codes (BCWCs). First, we derive a new lower bound on the probability of undetected error. Next, we show that this bound is tight if and only if the BCWCs are generated from certain t-designs. This means that such BCWCs are uniformly optimal for error detection. Thus, we prove a conjecture of Xia, Fu, Jiang and Ling. Furthermore, we determine the distance distributions of such BCWCs. Finally, we derive some bounds on the exponent of the probability of undetected error for BCWCs. These bounds enable us to extend the region in which the exponent of the probability of undetected error is exactly determined

Published in:

Information Theory, 2006 IEEE International Symposium on

Date of Conference:

9-14 July 2006