2020
DOI: 10.1007/s00200-020-00416-0
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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

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(3 citation statements)
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“…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.…”
Section: Introductionmentioning
confidence: 99%
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“…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.…”
Section: Introductionmentioning
confidence: 99%
“…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].…”
Section: Introductionmentioning
confidence: 99%
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