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An Algebraic Construction of Qcldpc Codes Based on Powers of Primitive Elements in A Finite Field and Free of Small Etss
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نویسنده
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Amirzade Farzane ,Alishahi Meysam ,Rafsanjani Sadeghi Mohammad-Reza
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منبع
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Journal Of Algebraic Structures And Their Applications - 2019 - دوره : 6 - شماره : 1 - صفحه:127 -138
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چکیده
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An (a; b) elementary trapping set (ets), where a and b denote the size and the number of unsatisfied check nodes in the ets, in uences the performance of low-density parity-check (ldpc) codes. the smallest size of an ets in ldpc codes with column weight 3 and girth 6 is 4. in this paper, we concentrate on a well-known algebraic-based construction of girth-6 qc-ldpc codes based on powers of a primitive element in a nite eld fq. for this structure, we provide the sucient conditions to obtain 3n submatrices of an exponent matrix in constructing girth-6 qc-ldpc codes whose etss have the size of at least 5. for structures on finite field fq, where q is a power of 2, all non-isomorphic 3 x n submatrices of the exponent matrix which yield qc-ldpc codes free of small etss are presented.
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کلیدواژه
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Qcldpc Codes ,Girth ,Tanner Graph ,Elementary Trapping Set
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آدرس
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Shahrood University Of Technology, Faculty Of Mathematical Sciences, Iran, Shahrood University Of Technology, Faculty Of Mathematical Sciences, Iran, Amirkabir University Of Technology, Department Of Mathematics And Computer Science, Iran
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پست الکترونیکی
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msadeghi@aut.ac.ir
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Authors
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