Open AccessConstruction 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/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.