TITLE:
On Conjugation Partitions of Sets of Trinucleotides
AUTHORS:
Lorenzo Bussoli, Christian J. Michel, Giuseppe Pirillo
KEYWORDS:
Trinucleotide; Conjugated Trinucleotides; Code; Circular Code; Self-Complementary Circular Code; Complementary Circular Codes
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.1,
January
4,
2012
ABSTRACT: We prove that a trinucleotide circular code is self-complementary if and only if its two conjugated classes are complement of each other. Using only this proposition, we prove that if a circular code is self-complementary then either both its two conjugated classes are circular codes or none is a circular code.