Weight vs. Magnetization enumerator for Gallager codes

2Citations
Citations of this article
20Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We propose a method to determine the critical noise level for decoding Gallager type low density parity check error correcting codes. The method is based on the magnetization enumerator (M), rather than on the weight enumerator (W) presented recently in the information theory literature. The interpretation ofour method is appealingly simple, and the relation between the different decoding schemes such as typical pairs decoding, MAP, and finite temperature decoding (MPM) becomes clear. Our results are more optimistic than those derived via the methods ofinf ormation theory and are in excellent agreement with recent results from another statistical physics approach.

Cite

CITATION STYLE

APA

van Mourik, J., Saad, D., & Kabashima, Y. (2001). Weight vs. Magnetization enumerator for Gallager codes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2260, pp. 148–157). Springer Verlag. https://doi.org/10.1007/3-540-45325-3_14

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free