Upper bound on the minimum distance of LDPC codes over GF(q) based on counting the number of syndromes

Upper bound on the minimum distance of LDPC codes over GF(q) based on counting the number of... In [1] a syndrome counting based upper bound on the minimum distance of regular binary LDPC codes is given. In this paper we extend the bound to the case of irregular and generalized LDPC codes over GF(q). A comparison with the lower bound for LDPC codes over GF(q), upper bound for the codes over GF(q), and the shortening upper bound for LDPC codes is made. The new bound is shown to lie under the Gilbert–Varshamov bound at high rates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Upper bound on the minimum distance of LDPC codes over GF(q) based on counting the number of syndromes

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946016010026
Publisher site
See Article on Publisher Site

Abstract

In [1] a syndrome counting based upper bound on the minimum distance of regular binary LDPC codes is given. In this paper we extend the bound to the case of irregular and generalized LDPC codes over GF(q). A comparison with the lower bound for LDPC codes over GF(q), upper bound for the codes over GF(q), and the shortening upper bound for LDPC codes is made. The new bound is shown to lie under the Gilbert–Varshamov bound at high rates.

Journal

Problems of Information TransmissionSpringer Journals

Published: May 8, 2016

References

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