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Circular codes, putative remnants of primeval comma-free codes, have gained considerable attention in the last years. In fact they represent a second kind of genetic code potentially involved in detecting and maintaining the normal reading frame in protein coding sequences. The discovering of an universal code across species suggested many theoretical and experimental questions. However, there is a key aspect that relates circular codes to symmetries and transformations that remains to a large extent unexplored. In this article we aim at addressing the issue by studying the symmetries and transformations that connect different circular codes. The main result is that the class of 216 maximal self-complementary codes can be partitioned into 27 equivalence classes defined by a particular set of transformations. We show that such transformations can be put in a group theoretic framework with an intuitive …
Springer Berlin Heidelberg
Publication date: 
1 Jun 2015

Elena Fimmel, Simone Giannerini, Diego Luis Gonzalez, Lutz Strüngmann

Biblio References: 
Volume: 70 Issue: 7 Pages: 1623-1644
Journal of Mathematical Biology