By Topic

Cosets of convolutional codes with least possible maximum zero- and one-run lengths

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

2 Author(s)
Hole, K.J. ; Dept. of Inf., Bergen Univ., Norway ; Ytrehus, O.

A communication or storage system may use a coset of a binary convolutional code for both symbol synchronization and error control. To facilitate symbol synchronization, the coset must have a short maximum zero-run length Lmax. General upper and lower bounds on Lmax were given previously by Hole. In this correspondence we use these bounds to identify which convolutional codes have cosets with short Lmax. For such a code, we then show how to determine a coset with the least possible Lmax among all cosets of the code. Exact expressions for the least possible Lmax of convolutional code cosets are given, and examples of such cosets with large free distances are tabulated. Bounds on Lmax for cosets of block codes are also provided. It is indicated how to tighten the bounds for block codes satisfying the one-way chain condition. We show that the cosets obtained from traditional high-rate block code constructions have larger Lmax than cosets of convolutional codes with approximately the same rates. In some systems the convolutional code cosets must have short maximum one-run lengths as well as short maximum zero-run lengths to avoid loss of symbol synchronization. It is shown how to determine convolutional codes whose cosets with least possible maximum zero-run lengths also have least possible maximum one-run lengths

Published in:

Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 1 )