Two-dimensional multiplicative arrays over Zq−1 and girth-6 q-ary QC-LDPC codes based on quadratic-residues modulo p < q |
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| Authors: | Morteza Esmaeili Mokhtar Salahian Mohammad-Hesam Tadayon |
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| Affiliation: | aDepartment of Mathematical Sciences, Isfahan University of Technology, 84156-83111 Isfahan, Iran;bDepartment of Electrical and Computer Engineering, University of Victoria, Victoria, B.C., Canada V8W 3P6;cIran Telecommunication Research Center (ITRC), Tehran, Iran |
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| Abstract: | Construction of q-ary quasi-cyclic low-density parity-check (QC-LDPC) codes based on two-dimensional multiplicative arrays over Zq−1, q = 2m, is studied. In particular, two-dimensional arrays formed by the set of quadratic-residue numbers modulo prime numbers less than q are considered. |
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| Keywords: | q-ary LDPC codes Multiplicative arrays over Zq&minus 1 Quadratic residue numbers |
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