

an algebraic construction of qcldpc codes based on powers of primitive elements in a finite field and free of small etss



نویسنده

amirzade farzane ,alishahi meysam ,rafsanjani sadeghi mohammadreza

منبع

journal of algebraic structures and their applications  2019  دوره : 6  شماره : 1  صفحه:127 138



چکیده

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 lowdensity paritycheck (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 wellknown algebraicbased construction of girth6 qcldpc 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 girth6 qcldpc codes whose etss have the size of at least 5. for structures on finite field fq, where q is a power of 2, all nonisomorphic 3 x n submatrices of the exponent matrix which yield qcldpc codes free of small etss are presented.

کلیدواژه

qcldpc codes ,girth ,tanner graph ,elementary trapping set

آدرس

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

پست الکترونیکی

msadeghi@aut.ac.ir










