A note on self-complementary trinucleotide circular codes,
Giuseppe Pirillo, Lorenzo Bussoli · Research Report Series of IASI-CNR, Rome, Italy (ISSN: 1128-3378) · 2012
For any positive integer n we introduce the property μn that holds for a set X of n self-complementary couples of trinucleotides (called in this paper forbidden con guration ) when, for all m < n, all the sets of m selfcomplementary couples of trinucleotides contained in X are circular codes but X itself is not a circular code. We prove that each forbidden con guration contains at most 4 self-complementary couples of trinucleotides, i.e. the maximum integer such that the property μn holds is 4. Mathematics Subject Classi cation(2010). 94A45.