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Construction of cyclic DNA codes over the ring Z4[u]/u2 – 1 based on the deletion distance

Authors: 

Hai Q. Dinh, Abhay Kumar Singh, Sukhamoy Pattanayak, Songsak Sriboonchitta

Source title: 
Theoretical Computer Science, 773(14): 27-42, 2019 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

We develop the theory for constructing DNA cyclic codes of odd length over R = Z4[u]/〈u2−1〉 based on the deletion distance. Cyclic codes of odd length over satisfying the reverse constraint and the reverse-complement constraint are discussed. The GC-content of these codes and their deletion distance are studied. Among others, examples of cyclic DNA codes with GC-content and their respective deletion distance are provided.