遗传密码和DNA序列的高维空间数字编码

二进制数字化编码是信息科学最基本的编码方式。用０（００）、１（０１）、２（１０）和３（１１）４个数码对４种碱基（Ｃ、Ｔ、Ａ、Ｇ）进行二进制数字编码，共有２４种可能的编码组合，其中８种满足碱基到补法则，它们是拓扑等价的。按碱基分子量大小排列的编码格式：０１２３／ＣＴＡＧ是最理想的编码格式。用二进制数对ＤＮＡ的字符序列进行编码，有以下优点：１）压缩信息冗余度，提高编码效率；２）可以对碱基的结构、功能基

DIGITAL CODING OF THE GENETIC CODONS AND DNA SEQUENCESIN HIGH DIMENSION SPACE

Binary digital coding is the most fundamental coding in information science. There are 24 possible coding patterns to encode the 4 nucleotide bases (C,T,A,G)by means of 4 digits: 0(00), 1(01), 2(10),3(11). Among these 24 patterns, only 8 kinds of patterns which are topologically identical fit the complementary rule of the nucleotide bases. It is suggested that the coding pattern in accordance with the sequence of molecular weight, 0123/CTAG, is the best coding pattern for the nucleotide bases. The binary digital coding of DNA sequences prevails over the character DNA coding with the following advantages:(1). To decrease the redundancy of the information coding and improve the coding efficiency; (2). The properties of nucleotide bases, such as: structure, functional group, complementary relationship and the strong and weak hydrogen bond connections, can also be encoded;(3). Digital codings of DNA sequences possess the sequential property and can be uniquely arranged according to their sizes; (4). The symmetry of the DNA digital coding is in accordance with the symmetry of the degeneracy of the genetic codons. The degenerate rule of topological connectivity of the genetic codons can also be derived;(5). The digital coding of any DNA tandem repeats can be easily obtained;(6). According to the Hamming distance in the high dimension space, the information distance of multiple DNA sequences and also the conjunctive spaces can be determined, this may be of great importance for bioinformatics;(7). The digital coding of DNA sequence is very convenient for mathematical operation and logical operation and may give a great impact for the DNA biocomputer.