The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Construction of Quasi-Cyclic LDPC Codes for AWGN and Binary Erasure Channels: A Finite Field Approach
Abstract
In the late 1950s and early 1960s, finite fields were successfully used to construct linear block codes, especially cyclic codes, with large minimum distances for hard-decision algebraic decoding, such as Bose-Chaudhuri-Hocquenghem (BCH) and Reed-Solomon (RS) codes. This paper shows that finite fields can also be successfully used to construct algebraic low-density parity-check (LDPC) codes for iterative soft-decision decoding. Methods of construction are presented. LDPC codes constructed by these methods are quasi-cyclic (QC) and they perform very well over the additive white Gaussian noise (AWGN), binary random, and burst erasure channels with iterative decoding in terms of bit-error probability, block-error probability, error-floor, and rate of decoding convergence, collectively. Particularly, they have low error floors. Since the codes are QC, they can be encoded using simple shift registers with linear complexity.
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Cites
A Mathematical Theory of Communication
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Self-citationGood error-correcting codes based on very sparse matrices
MacKay, D. J. C. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.748992 · Cited by 3,684
Polynomial Codes Over Certain Finite Fields
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Design of capacity-approaching irregular low-density parity-check codes
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Metadata
- Authors
- Lan, L., Zeng, L., Tai, Y. Y., Chen, L., Lin, S., & Abdel-Ghaffar, K.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2007-07
- Volume
- 53
- Issue
- 7
- Pages
- 2429-2458
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2113420173
- Cited by
- 263
- References
- 30
- FWCI
- 32.06
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lan, L., Zeng, L., Tai, Y. Y., Chen, L., Lin, S., & Abdel-Ghaffar, K. (2007). Construction of Quasi-Cyclic LDPC Codes for AWGN and Binary Erasure Channels: A Finite Field Approach. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2007.899516
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