The standard classification scheme of the genetic code is organized for alphabetic ordering of nucleotides. Here we introduce the new, ''ideal'' classification scheme in compact form, for the first time generated by codon sextets encoding Set, Arg and Leu amino adds. The new scheme creates the known purine/pyrimidine, codon-anticodon, and amino/keto type symmetries and a novel A + U rich/C + G rich symmetry. This scheme is built from "leading" and "nonleading" groups of 32 codons each. In the ensuing 4 x 16 scheme, based on trinucleotide quadruplets, Ser has a central role as initial generator. Six codons encoding Ser and six encoding Arg extend continuously along a linear array in the "leading" group, and together with four of six Leu codons uniquely define construction of the "leading" group. The remaining two Leu codons enable construction of the "nonleading" group. The "ideal" genetic code suggests the evolution of genetic code with serine as an initiator. (C) 2014 Elsevier B.V. All rights reserved.