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Firstly, a design-theoretic construction of QC-LDPC codes based on a combinatoric design approach known as optical orthogonal codes (OOC) is presented. Proposed OOC-based construction gives three classes of binary QC-LDPC codes with no length-4 cycles by utilizing some known ingredients including binary matrix dispersion of elements of finite field, incidence matrices, and circulant decomposition. Secondly, the proposed OOC-based construction gives an effective method to jointly design length-4 cycles free QC-LDPC codes for coded-relay cooperation, where sum-product algorithm- (SPA-) based joint-iterative decoding is used to decode the corrupted sequences coming from the source or relay nodes in different time frames over constituent Rayleigh fading channels. Based on the theoretical analysis and simulation results, proposed QC-LDPC coded-relay cooperations outperform their competitors under same conditions over the Rayleigh fading channel with additive white Gaussian noise.<\/jats:p>","DOI":"10.1155\/2019\/5249373","type":"journal-article","created":{"date-parts":[[2019,9,26]],"date-time":"2019-09-26T23:49:54Z","timestamp":1569541794000},"page":"1-12","source":"Crossref","is-referenced-by-count":6,"title":["A Deterministic Construction for Jointly Designed Quasicyclic LDPC Coded-Relay Cooperation"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9699-1675","authenticated-orcid":true,"given":"Muhammad","family":"Asif","sequence":"first","affiliation":[{"name":"Key Laboratory of Wireless-Optical Communications, University of Science and Technology of China, Hefei 230027, 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