Large-Girth Column-Weight Two QC-LDPC Codes
نویسندگان
چکیده
This article presents a method for constructing large girth column-weight 2 QC-LDPC codes. A distance graph is first constructed using an existing method. The distance graph is then converted into a Tanner graph. The proposed method could easily construct codes with girths large than 12 and is more flexible compared to previous methods. Obtained codes show good bit error rate performance comparable to that of random codes. Keywords— QC-LDPC codes, girth, distance graphs.
منابع مشابه
Column Weight Two and Three LDPC Codes with High Rates and Large Girths
In this paper, the concept of the broken diagonal pair in the chess-like square board is used to define some well-structured block designs whose incidence matrices can be considered as the parity-check matrices of some high rate cycle codes with girth 12. Interestingly, the constructed regular cycle codes with row-weights t, 3 ≤ t ≤ 20, t 6= 7, 15, 16, have the best lengths among the known regu...
متن کاملNewly Designed Quasi-Cyclic Low Density Parity Check Codes
This paper presents the construction of large girth Quasi-Cyclic low density parity check (QC-LDPC) codes. The row groups are paired two times the row weight which has cut down hardware implementation cost and complexity as compared to the connection of individual columns and rows. The construction of newly obtained codes gives a class of efficiently encodable quasi-cyclic LDPC codes.
متن کاملA method of constructing the half-rate QC-LDPC codes with linear encoder, maximum column weight three and inevitable girth 26
This paper presents a method of constructing the half-rate irregular quasi-cyclic low-density parity-check codes which can provide linear encoding algorithm and their H-matrices may contain almost the least “1” elements comparing with H-matrices of all existing LDPC codes. This method shows that three kinds of special structural matrices, respectively named as S-matrix, M-matrix and A-matrix, a...
متن کاملGirth-12 Quasi-Cyclic LDPC Codes with Consecutive Lengths
A method to construct girth-12 (3,L) quasi-cyclic lowdensity parity-check (QC-LDPC) codes with all lengths larger than a certain given number is proposed, via a given girth-12 code subjected to some constraints. The lengths of these codes can be arbitrary integers of the form LP, provided that P is larger than a tight lower bound determined by the maximal element within the exponent matrix of t...
متن کاملTight lower bound of consecutive lengths for QC-LDPC codes with girth twelve
For an arbitrary (3,L) QC-LDPC code with a girth of twelve, a tight lower bound of the consecutive lengths is proposed. For an arbitrary length above the bound the resultant code necessarily has a girth of twelve, and for the length meeting the bound, the corresponding code inevitably has a girth smaller than twelve. The conclusion can play an important role in the proofs of the existence of la...
متن کامل