On the Stopping Distance of SA-LDPC Codes by Transversal Designs | Zendy

Zahra Ferdosi | Zendy; Farhad Rahmati | Zendy; Mohammad Hesam Tadayon | Zendy

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On the Stopping Distance of SA-LDPC Codes by Transversal Designs

Author(s) -

Zahra Ferdosi,

Farhad Rahmati,

Mohammad Hesam Tadayon

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2857560

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

In this paper, we analyze the size of the smallest stopping set (called the stopping distance) for the parity-check matrix of a superposed array low-density parity-check (SA-LDPC) code for column weights 3 and 4 by using the transversal design (TD) concept. An SA-LDPC code is obtained as the result of an n-fold recursive product operation (a superposition method) on the parity-check matrix of an array low-density parity-check (array LDPC) code, Hn(m, q), where n ≥ 2 and m and q are column and row weights, respectively. We provide the lower and upper bounds for the stopping distance of these codes. Our simulation result shows that the SA-LDPC codes can compete with the TD-LDPC codes, random LDPC codes, and lattice LDPC codes of comparable rates and lengths and can improve the error floor region of the bit error rate curve.

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