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Cyclic DNA codes over F2+uF2+vF2+uvF2

Published 28 Aug 2015 in cs.IT and math.IT | (1508.07113v1)

Abstract: In this work, we study the structure of cyclic DNA codes of arbitrary lengths over the ring R=F2+uF2+vF2+uvF2 and establish relations to codes over R1=F2+uF2 by defining a Gray map between R and R12 where R1 is the ring with 4 elements. Cyclic codes of arbitrary lengths over R satisfied the reverse constraint and the reverse-complement constraint are studied in this paper. The GC content constraint is considered in the last.

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Authors (2)

  1. Shixin Zhu 
  2. Xiaojing Chen 

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