环F_4[v]/(v^2+v)上DNA码

DNA Codes over the Ring F_4[v]/(v^2+v)

文章研究了环R=F_4[v]/(v^2+v)上的DNA码.基于环R上长度为n的线性码的代数结构,给出了环R上长度为n的线性码是可逆的DNA码的一个充要条件.同时,给出了环R上长度为n的线性码是可逆补DNA码的一个充要条件.

DNA codes over the ring R =F4[v]/(v^2+v)are studied.Based on the algebraic structure of the linear codes of length n over the ring R,we give a necessary and sufficient condition for the linear codes of length n over the ring R to be reversible DNA codes.And we give a necessary and sufficient condition for the linear codes of length n over the ring R to be reversible-complement DNA codes.