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Weight Distributions of Multi-Edge type LDPC Codes
low-density parity-check code structured codes weight distributions
2010/11/30
The multi-edge type LDPC codes, introduced by Richardson and Urbanke, present the general class of struc-tured LDPC codes. In this paper, we derive the average weight distributions of the multi-edge t...
Depth of edge rings arising from finite graphs
edge ring toric ideal finite graph Gr¨obner basis initial ideal
2010/12/1
Let G be a finite graph and K[G] the edge ring of G. Based on the technique of Gr¨obner bases and initial ideals, it will be proved that, given integers f and d with 7 f d, there exists a finite g...