Construction of cyclic DNA codes over the Ring $\Z_4[u]/\langle u^2-1 \rangle $ Based on the deletion distance

نویسندگان

  • Sukhamoy Pattanayak
  • Abhay Kumar Singh
چکیده

In this paper, we develop the theory for constructing DNA cyclic codes of odd length over R = Z4[u]/〈u 2 − 1〉 based on the deletion distance. Firstly, we relate DNA pairs with a special 16 elements of ring R. Cyclic codes of odd length over R satisfy the reverse constraint and the reverse-complement constraint are discussed in this paper. We also study the GC-content of these codes and their deletion distance. The paper concludes with some examples of cyclic DNA codes with GC-content and their respective deletion distance.

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عنوان ژورنال:
  • CoRR

دوره abs/1603.04055  شماره 

صفحات  -

تاریخ انتشار 2016