Cyclic codes over $${\mathbb {F}}_2 +u{\mathbb {F}}_2+v{\mathbb {F}}_2 +v^2 {\mathbb {F}}_2 $$ with respect to the homogeneous weight and their applications to DNA codes

A Novel Method for Determining the Non-cds Region By Using Error-Correcting Codes

“…For example, let algebraic structure be 𝑍 4 = {0,1,2,3} and correspondences for DNA bases are 0 → A, 1 → T, 2 → G, 3 → C. Studies that use more than one DNA base for one algebraic element was started by Oztas and Siap [4]. There are some studies for DNA codes by using DNA 𝑘-bases over finite field and rings [7,11,12,18]. However, these studies are not implemented in real DNA strings.…”

“…Relation between Introns-exons and error-correcting codes are studied in [2,3,17]. Regions of introns and exons are defined as check-bits (redundancy) and information bits of errorcorrecting codes, respectively in [2,3].…”

“…Regions of introns and exons are defined as check-bits (redundancy) and information bits of errorcorrecting codes, respectively in [2,3]. In [17], there is a method for finding intron and exon areas by using error-correction codes, but it has unstable algorithm, limited calculations, and results. Then, we consider CDS and non-CDS area instead of exon and intron areas because of CDSs are involved in protein synthesis.…”