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Related Experiment Video

Updated: Apr 3, 2026

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
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Maximal dinucleotide and trinucleotide circular codes.

Christian J Michel1, Marco Pellegrini2, Giuseppe Pirillo3

  • 1Theoretical Bioinformatics, ICube, University of Strasbourg, CNRS, 300 Boulevard Sébastien Brant, 67400 Illkirch, France.

Journal of Theoretical Biology
|September 19, 2015
PubMed
Summary

This study identifies maximal circular codes in genetics. Maximal trinucleotide circular codes exist with 14 to 19 elements, while dinucleotide codes require at least 6 elements.

Keywords:
Maximal dinucleotide circular codeMaximal self-complementary dinucleotide circular codeMaximal self-complementary trinucleotide circular codeMaximal trinucleotide circular code

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Genetics

Background:

  • Circular codes are fundamental in understanding genetic information processing.
  • Maximal circular codes represent complete sets of codons with specific properties.

Purpose of the Study:

  • To determine the number and list of maximal dinucleotide and trinucleotide circular codes.
  • To investigate the size constraints and amino acid distribution of these codes.

Main Methods:

  • Theoretical determination of code properties.
  • Computational analysis to enumerate and characterize codes.

Main Results:

  • No maximal dinucleotide circular code has fewer than 6 elements.
  • Maximal trinucleotide circular codes exist with sizes ranging from 14 to 19 elements.
  • Information on maximal self-complementary codes and amino acid distribution is provided.

Conclusions:

  • The study establishes precise size boundaries for maximal dinucleotide and trinucleotide circular codes.
  • Findings contribute to a deeper understanding of genetic code structure and evolution.