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DNA codes over groups

  • Cain Álvarez-García,
  • Carlos Alberto Castillo-Guillén,
  • Mohamed Badaoui,
  • Andriy Kryvko

摘要

The purpose of this paper is to establish a one-to-one correspondence between k-tuples of DNA codewords and the elements of a finite group to simulate the reverse and the complement operations of codewords by an automorphism and a translation of the group, respectively, in order to determine the structure of DNA codes. Finally, the case of vector spaces is characterized.