1. DNA codes from skew dihedral group ring.
- Author
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Dougherty, Steven, Korban, Adrian, Şahinkaya, Serap, and Ustun, Deniz
- Subjects
GROUP rings ,HAMMING distance ,FINITE fields ,DNA ,LINEAR codes - Abstract
In this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring $ \mathcal{F}_{j, k} $ and its associated Gray maps, we show how one can construct reversible codes of length $ n2^{j+k} $ over the finite field $ \mathbb{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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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