NDLI: Non-Binary LDPC Erasure Codes With Separated Low-Degree Variable Nodes

Content Provider	IEEE Xplore Digital Library
Author	Garrammone, G. Paolini, E. Matuz, B. Liva, G.
Copyright Year	1972
Abstract	The code design of non-binary low-density paritycheck codes for the erasure channel, under maximum a posteriori decoding, is addressed. In particular, a partially structured ensemble of codes, characterized by a careful control of the amount and of the connectivity of the variable nodes of small degrees, is proposed. The identified ensemble of codes is analyzed in terms of asymptotic thresholds and weight distribution and it is shown that codes from the ensemble provide a remarkable trade-off between waterfall performance, error floor, and decoding complexity. As an example, the performance curve of a short (256,128) code on the memoryless 16-ary erasure channel tightly approaches the Singleton bound at least down to a codeword error rate of 10-9, at low decoding complexity.
Starting Page	3937
Ending Page	3949
Page Count	13
File Size	1316930
File Format	PDF
ISSN	00906778
Volume Number	63
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decoding Parity check codes Sparse matrices Complexity theory Polynomials Error analysis Probability distribution maximum a posteriori decoding Erasure channel finite fields low-density parity-check codes
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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