Vector space of codons sequence over galois field GF(73)

[摘要] DNA and RNA is genetic material that play an important role in living things metabolism process which called protein synthesis. DNA have four nucleic acid, they are adenine (A), guanine (G), cytosine (C), and thymine (T). Protein synthesis process closely related with standard genetic code. Standard genetic code is a set of rules that defines the order of nucleotide bases in DNA or RNA to determine the order of certain amino acids in protein synthesis. The standard genetic code is a combination of three nitrogen bases or triplet's bases. This standard genetic code can mathematically represented by algebraic structure. In this paper we will give that representation using the extended set of 7 elements from the set of four DNA's nucleic acid that are N = {D, A, C, 0, G, T, P}. Then we construct new triplet set from N, called extended triplet set. In the end we analyze the vector space structure of it and find the significant field that correspond with that structure.

[发布机构] Department of Mathematics, Faculty of Mathematics, Natural Science Padjadjaran University, Bandung, Indonesia^1

[学科分类] 计算机科学（综合）

[关键词] Algebraic structures;Galois fields;Genetic materials;Living things;Nucleotide basis;Protein synthesis;Three nitrogens;Vector space structures