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On the girth of Tanner (3,5) quasi-cyclic LDPC codes
- Issue Date
- Apr-2006
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- girth; low-density parity-check (LDPC) codes; quasi-cyclic (QC) codes
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, v.52, no.4, pp.1739 - 1744
- Journal Title
- IEEE TRANSACTIONS ON INFORMATION THEORY
- Volume
- 52
- Number
- 4
- Start Page
- 1739
- End Page
- 1744
- ISSN
- 0018-9448
- Abstract
- In this correspondence, the cycles of Tanner (3, 5) quasicyclic (QC) low-density parity-check (LDPC) codes are analyzed and their girth values are derived. The conditions for the existence of cycles of lengths 4, 6, 8, and 10 in Tanner (3, 5) QC LDPC codes of length 5p are expressed in terms of polynomial equations in a 15th root of unity of the prime field F-p. By checking the existence of solutions for these equations over F-p, the girths of Tanner (3, 5) QC LDPC codes are derived.
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