A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8

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Amirzade Farzane; Alishahi Meysam; (Rafsanjani) Sadeghi Mohammad Reza

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2020 | Volume:7 | Issue:2 Page(s): 271-280

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Information Journal Paper

Title

A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8

Author(s)

Amirzade Farzane | Alishahi Meysam | (Rafsanjani) Sadeghi Mohammad Reza | Issue Writer Certificate

Keywords

QC-LDPC codes

Girth

Difference matrices

Lifting degree

Abstract

In this paper, we define a structure to obtain exponent matrices of Girth-8 QC-LDPC codes with column weight 3. Using the Difference matrices introduced by Amirzade et al., we investigate necessary and sufficient conditions which result in a Tanner graph with Girth 8. Our proposed method contributes to reduce the search space in recognizing the elements of an exponent matrix. In fact, in this method we only search to obtain one row of an exponent matrix. The other rows are multiplications of that row.

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APA: Copy

Amirzade, Farzane, Alishahi, Meysam, & (Rafsanjani) Sadeghi, Mohammad Reza. (2020). A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8. JOURNAL OF ALGEBRAIC SYSTEMS, 7(2 ), 271-280. SID. https://sid.ir/paper/268360/en

Vancouver: Copy

Amirzade Farzane, Alishahi Meysam, (Rafsanjani) Sadeghi Mohammad Reza. A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;7(2 ):271-280. Available from: https://sid.ir/paper/268360/en

IEEE: Copy

Farzane Amirzade, Meysam Alishahi, and Mohammad Reza (Rafsanjani) Sadeghi, “A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 7, no. 2 , pp. 271–280, 2020, [Online]. Available: https://sid.ir/paper/268360/en

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