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Codon Distribution in Error-Detecting Circular Codes
#MMPMID26999215
Fimmel E
; Strüngmann L
Life (Basel)
2016[Mar]; 6
(1
): ä PMID26999215
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In 1957, Francis Crick et al. suggested an ingenious explanation for the process
of frame maintenance. The idea was based on the notion of comma-free codes.
Although Crick's hypothesis proved to be wrong, in 1996, Arquès and Michel
discovered the existence of a weaker version of such codes in eukaryote and
prokaryote genomes, namely the so-called circular codes. Since then, circular
code theory has invariably evoked great interest and made significant progress.
In this article, the codon distributions in maximal comma-free, maximal
self-complementary C³ and maximal self-complementary circular codes are
discussed, i.e., we investigate in how many of such codes a given codon
participates. As the main (and surprising) result, it is shown that the codons
can be separated into very few classes (three, or five, or six) with respect to
their frequency. Moreover, the distribution classes can be hierarchically ordered
as refinements from maximal comma-free codes via maximal self-complementary C(3)
codes to maximal self-complementary circular codes.