Mathematics, Department of
Date of this Version
2008
Citation
Published in 2008 IEEE International Symposium on Information Theory
doi 10.1109/ISIT.2008.4595095
Abstract
Several well-known structure-based constructions of LDPC codes, for example codes based on permutation and circulant matrices and in particular, quasi-cyclic LDPC codes, can be interpreted via algebraic voltage assignments. We explain this connection and show how this idea from topological graph theory can be used to give simple proofs of many known properties of these codes. In addition, the notion of abelianinevitable cycle is introduced and the subgraphs giving rise to these cycles are classified. We also indicate how, by using more sophisticated voltage assignments, new classes of good LDPC codes may be obtained.
Comments
Copyright 2008 IEEE. Used by permission.