title: Studying genetic code by a matrix approach.
abstract: Following Petoukhov and his collaborators, we use two length n zero-one sequences, alpha and beta, to represent a length n genetic sequence (alpha/beta) so that the columns of (alpha/beta) have the following correspondence with the nucleotides: C ~ (0/0), U ~ (1/0), G ~ (1/1), A ~ (0/1). Using the Gray code ordering to arrange alpha and beta, we build a 2(n) x 2(n) matrix C(n) including all the 4(n) length n genetic sequences. Furthermore, we use the Hamming distance of alpha and beta to construct a 2(n) x 2(n) matrix D(n). We explore structures of these matrices, refine the results in earlier papers, and propose new directions for further research.
authors.affiliation: Department of Mathematics, The College of William and Mary, Williamsburg, VA 23185, USA.
authors.forename: Tanner
authors.initials: T
authors.lastname: Crowder
authors.forename: Chi-Kwong
authors.initials: CK
authors.lastname: Li
mesh_terms: D000595:Amino Acid Sequence; D001483:Base Sequence; D003062:Codon; D005815:Genetic Code; D008957:Models, Genetic
chemical_list: D003062:Codon