• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.16 no.5
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• pp.229-233
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• 2016

In this paper, we present the four genetic nitrogenous bases of C, U(T), A, G to matrices and describe the structures from $4{\times}4$ RNA(ribose nucleic acid) to $8{\times}8$ DNA((deoxyribose nucleic acid) matrices. we analysis a deoxyribose nucleic acid (DNA) double helix based on the block circulant Hadamard-Jacket matrix (BCHJM). The orthogonal BCHJM is anti-symmetric pair complementary of the core DNA. The block circulant ribonucleic acid (RNA) repair damage reliability is better than the conventional double helix. In case of k=4 and N=1, the reliability of block circulant complementarity is 93.75%, and in case of k=4 and N=4, it is 98.44%. Therefore it improves 4.69% than conventional case of double helix.