Results 41 to 50 of about 1,960 (155)
Design of LDPC Codes: A Survey and New Results
This survey paper provides fundamentals in the design of LDPC codes. To provide a target for the code designer, we first summarize the EXIT chart technique for determining(near-)optimal degree distributions for LDPC code ensembles.
Gianluigi Liva +5 more
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Quasi-cyclic extension based on PEG algorithm for construction of LDPC codes
Several important relations between the cycle structure on the Tanner graph and the parity-check matrix H of LDPC codes were proved.A new algorithm for constructing LDPC codes was proposed that introduced quasi-cyclic ex-tension method to PEG algorithm ...
LEI Jing1 +2 more
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Protograph Based Low-Density Parity-Check Codes Design With Mixed Integer Linear Programming
An approach to design protograph-based low-density parity-check (LDPC) codes utilizing mixed integer linear programming (MILP) optimization is presented in this paper.
Wojciech Sulek
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Low-density parity-check codes based on sparse binary sequences
A novel and simple construction of regular LDPC codes was proposed, which used sparse binary sequences, through studying construction methods of LDPC codes.
HE Shan-bao +3 more
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A construction of the high-rate regular quasi-cyclic LDPC codes
In this paper, a scheme to construct the high-rate regular quasi-cyclic low-density parity-check (QC-LDPC) codes is developed based on the finite geometry low-density parity-check (LDPC) codes.
Qi Meng +3 more
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On quasi-cyclic subspace codes
Construction of subspace codes with good parameters is one of the most important problems in random network coding. In this paper we present first a generalization of the concept of cyclic subspaces codes and further we show that the usual methods for constructing cyclic subspace codes over finite fields works for m-quasi cyclic codes, namely the ...
Garcia, Ismael Gutierrez +1 more
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Symplectic Self-Orthogonal Quasi-Cyclic Codes
This paper was published in IEEE TIT. In this version, we have corrected some minor errors, among which the most significant change is that the constraint $\gcd(\bar{f}_0(x),g(x))=1$ in Theorem 5 has been corrected to $\gcd(f_0(x),g(x))=1$
Chaofeng Guan +3 more
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On the Girth of Tanner (3, 13) Quasi-Cyclic LDPC Codes
Girth is an important structural property of low-density parity-check (LDPC) codes. Motivated by the works on the girth of Tanner (3, 5), (3, 7), (3, 11), and (5, 7) quasi-cyclic (QC) LDPC codes, we, in this paper, study the girth of Tanner (3, 13) QC ...
Hengzhou Xu +4 more
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Cyclic Codes over a Non-Local Non-Unital Ring
We study cyclic codes over the ring H of order 4 and characteristic 2 defined by generators and relations as H=⟨a,b∣2a=2b=0,a2=0,b2=b,ab=ba=0⟩. This is the first time that cyclic codes over a non-unitary ring are studied.
Adel Alahmadi +2 more
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Quasi-cyclic Flexible Regenerating Codes
17 pages, 1 figure, submitted to IEEE Transactions on Information ...
Gastón, Bernat +2 more
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