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A Double Helix DNA Structure Based on the Block Circulant Matrix (I)
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 Title & Authors
A Double Helix DNA Structure Based on the Block Circulant Matrix (I)
Lee, Sung-Kook; Park, Ju-Yong; Lee, Moon-Ho;
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 Abstract
The genetic code is a key to bio-informatics and to a science of biological self-organizing on the whole. Modern science faces the necessity of understanding and systematically explaining mysterious features of ensembles of molecular structures of the genetic code. This paper is devoted to symmetrical analysis for genetic systems. Mathematical theories of noise-immunity coding and discrete signal processing are based on Jacket matrix methods of representation and analysis of information. Both of the RNA and Jacket Matrix property also have the Element(Block) - wise Inverse Matrices. These matrix methods, which are connected closely with relations of symmetry, are borrowed for a matrix analysis of ensembles of molecular elements of the genetic code. This method is presented for its simplicity and the clarity with which it decomposes a Jacket Matrix in terms of the genetic RNA Codon.
 Keywords
Genetic RNA Codon;Jacket matrix;Element(Block) - wise Inverse;
 Language
Korean
 Cited by
1.
블록순환 행렬에 의한 이중나선 DNA 구조 (II),박주용;김정수;이문호;

한국인터넷방송통신학회논문지, 2016. vol.16. 5, pp.229-233 crossref(new window)
2.
유전정보 64 Trigram Codon의 표준 [UC;AG] 수직 블록 Code,박주용;이성국;이문호;

한국인터넷방송통신학회논문지, 2016. vol.16. 6, pp.135-140 crossref(new window)
3.
동식물의 나선속의 하중(荷重) Hadamard Transform : 대칭과 Element-wise Inverse 행렬,박주용;김정수;이문호;

한국인터넷방송통신학회논문지, 2016. vol.16. 6, pp.319-327 crossref(new window)
 References
1.
Chae Hang Sik, Modern Science by Shown I Ching, Yeogang Press, 1992.

2.
Mathew He, Sergeg Petoukhov, Mathematics of Bioinformatics, Wiley, 2011.

3.
George Gamow, One Two Three, Infinity, Eric Yang Agency, 1961.

4.
M. H. Lee, M. Kaveh, "Fast Hadamard Transform Based on a Simple Matrix Factorization", IEEE Tans. on ASSP-34, No. 6, pp. 1666-1667, Dec. 1986.

5.
M. H. Lee, "The Center Weighted Hadamard transform", IEEE Trans. 1989 CAS-36, (9), pp. 1247-1249.

6.
Moon Ho Lee, "Simple Systolic Array Algorithm for Hadamard Transform", Elect. Letters, Vol. 26, No. 18, 30th Aug. 1990.

7.
Moon Ho Lee, MIMO Communication Method and System using the Block Circulant Jacket Matrices, USA Patent 9,356,671, 05/31 2016.

8.
Watson, J. D., Crick, F. H. C., "Molecular structure of nucleic acids," Nature, vol. 171, no. 4356, pp. 737-738, April 1953. crossref(new window)

9.
Jae Seung Yang, Ju Yong Park and Moon Ho Lee, "Jacket Matrix in Hyperbola," The Journal of the Institute of Internet, Broadcasting and Communication(JIIBC), Vol. 15, No. 3, June 2015.

10.
Ju Yong Park, Jeong Su Kim and Moon Ho Lee, "Jeju Jong-Nang Channel Code III," The Journal of the Institute of Internet, Broadcasting and Communication(JIIBC), Vol. 12, No. 5, October 2015.