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