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Table 3 The codon groups of the best genetic code in terms of the fitness function F extracted from 50 independent simulations under the M2 scenario

From: The influence of different types of translational inaccuracies on the genetic code structure

Codon group (S)

k

ψ(S)

Ï•(S)

Ï•k(G)

{CAT,CAG,CAC,CTG,CGG,CCG}

6

0.9867038

\(\frac {36}{54}\)

\(\frac {36}{54}\)

{CAA,CTA,CTT,CTC,CGA,CCA}

6

0.9866648

\(\frac {35}{54}\)

\(\frac {36}{54}\)

{GAG,GAC,GGC,GCC}

4

1.0000000

\(\frac {7}{9}\)

\(\frac {2}{3}\)

{GAA,GGA,GGG,GCA}

4

1.0000000

\(\frac {7}{9}\)

\(\frac {2}{3}\)

{GAT,GTT,GTG,GCT}

4

0.8262542

\(\frac {7}{9}\)

\(\frac {2}{3}\)

{GTA,GTC,GGT,GCG}

4

0.7837840

\(\frac {34}{36}\)

\(\frac {2}{3}\)

{ATC,AGC,ACC,CCT}

4

0.6426162

\(\frac {5}{6}\)

\(\frac {2}{3}\)

{ATT,AGT,ACT}

3

0.8457703

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{ATA,AGA,ACA}

3

0.8136870

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{AAT,AAG,AGG}

3

0.7359857

\(\frac {23}{27}\)

\(\frac {7}{9}\)

{AAA,AAC,CGC}

3

0.7170777

\(\frac {25}{27}\)

\(\frac {7}{9}\)

{TAA,TAC,TTC}

3

0.5927813

\(\frac {23}{27}\)

\(\frac {7}{9}\)

{TCT,TCG,CCC}

3

0.5598730

\(\frac {25}{27}\)

\(\frac {7}{9}\)

{TTA,TCA,CGT}

3

0.4932700

\(\frac {25}{27}\)

\(\frac {7}{9}\)

{ATG,ACG}

2

0.8650405

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{TAT,TAG}

2

0.8027995

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{TTT,TGT}

2

0.7850055

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{TGC,TCC}

2

0.7838025

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{TGA}

1

1.0000000

1

1

{TTG}

1

0.9967190

1

1

{TGG}

1

0.5734410

1

1

  1. The groups S are characterized by: the size k, the coding strength ψ(S), the conductance ϕ(S) and the minimal conductance of the codon group with the size k ϕk(G)