Published January 1, 2022
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DNA CODES FROM SKEW DIHEDRAL GROUP RING
- 1. Univ Scranton, Dept Phys Math & Engn Sci, Scranton, PA 18510 USA
- 2. Univ Chester, Dept Phys Math & Engn Sci, Chester, Cheshire, England
- 3. Tarsus Univ, Fac Engn, Dept Nat & Math Sci, Mersin, Turkey
- 4. Tarsus Univ, Fac Engn, Dept Comp Engn, Mersin, Turkey
Description
In this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring Fj,k and its associated Gray maps, we show how one can construct reversible codes of length n(2j+k )over the finite field F-4. As an application, we construct a number of DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement, and the GC-content constraints with better parameters than some good DNA codes in the literature.
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