Cyclic DNA codes over some commutative rings
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Abstract (EN)
In this study, cyclic DNA codes on different rings are examined. In the first section of the thesis, previous studies are given, and in the second section, basic definitions and theorems about algebra, coding theory and DNA are given. In the third section, the structure of cyclic codes defined on the finite ring called Z4 +vZ4, the cyclic codes on this structure, theorems and results regarding the construction of DNA codes and DNA images of cyclic DNA codes have been compiled. In the fourth section, u 2 = 3u, v 2 = 3v and uv = vu = 0 being Z4 + uZ4+vZ4 theorems and results about the structure of cyclic codes defined on a finite ring, the construction of cyclic DNA codes on this structure and the DNA images of cyclic DNA codes are proved. In the last section, it is given some recommendations for future exploration.
Author
Elif Ergin
How to Cite
Elif Ergin (Master Thesis). Cyclic DNA codes over some commutative rings, 2024, Osmaniye Korkut Ata University.
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