RNA Quasi-Orthogonal Block Code
This paper presents a single strand ribonucleic acid (RNA) Kronecker product of double stochastic matrix to a deoxyribose nucleic acid (DNA) double helix based on the block circulant Jacket matrix (BCJM) characteristics which is used to develop a bioinformatics for the molecular communications. The RNA matrix decomposition is the form of the Kronecker product of Hadamard matrices with its pair complementarity. The variants of kernel of the Kronecker families are produced by permutations of the four letters C, A, U, G on positions in the matrix. This decomposition of DNA to RNA leads very clearly to the Kronecker product of the symmetrical genetic matrices. We also analyze DNA quasi-orthogonal matrix.
KeywordsRNA DNA Kronecker product Hadamard/identity matrix Quasi-orthogonal matrix
This work was supported by Ministry of Education Science and Technology (MEST) 2015R1A2A1A05000977, National Research Foundation (NRF), Republic of Korea.
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