Construction of Dual Cyclic Codes over {F}_{2}[u,v]/ < u^2, v^2 - v, uv - vu > for DNA Computation | Zendy

Manoj Kumar Singh | Zendy; Abhay Kumar Singh | Zendy; Narendra Kumar | Zendy; Pooja Mishra | Zendy; Indivar Gupta | Zendy

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Construction of Dual Cyclic Codes over {F}_{2}[u,v]/ < u^2, v^2 - v, uv - vu > for DNA Computation

Author(s) -

Manoj Kumar Singh,

Abhay Kumar Singh,

Narendra Kumar,

Pooja Mishra,

Indivar Gupta

Publication year - 2018

Publication title -

defence science journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.198

H-Index - 32

eISSN - 0976-464X

pISSN - 0011-748X

DOI - 10.14429/dsj.68.12344

Subject(s) - complement (music) , combinatorics , discrete mathematics , physics , computation , dna , mathematics , computer science , algorithm , genetics , biology , gene , phenotype , complementation

Here, we assume the construction of cyclic codes over ℜ={F}_{2}[u,v]/ . In particular, dual cyclic codes over ℜ= {F}_{2}[u]/ with respect to Euclidean inner product are discussed. The cyclic dual codes over ℜ are studied with respect to DNA codes (reverse and reverse complement). Many interesting results are obtained. Some examples are also provided, which explain the main results. The GC-Content and DNA codes over ℜ are discussed. We summarise the article by giving a special DNA table.

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