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

摘要

Here, we assume the construction of cyclic codes over??={F}_{2}[u,v]/ u^2, v^2 - v, uv - vu . In particular, dual cyclic codes over ?= {F}_{2}[u]/ u^2?with respect to Euclidean inner product are discussed. The cyclic dual codes over ? 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 ? are discussed. We summarise the article by giving a special DNA table.