DNA codes have many applications, such as in data storage, DNA computing, etc. Good DNA codes have large sizes and satisfy some certain constraints. In this paper, we present a new construction method for reversible DNA codes. We show that the DNA codes obtained using our construction method can satisfy some desired constraints and the lower bounds of the sizes of some DNA codes are better than the known results. We also give new lower bounds on the sizes of some DNA codes of lengths $80$, $96$ and $160$ for some fixed Hamming distance $d$.

翻译：DNA码在数据存储、DNA计算等领域具有广泛应用。优质DNA码需具备较大码字规模并满足特定约束条件。本文提出一种可逆DNA码的新型构造方法，证明采用该方法构造的DNA码能够满足若干期望约束，且部分DNA码规模的下界优于已知结果。对于固定汉明距离$d$，我们给出了长度分别为$80$、$96$和$160$的若干DNA码规模的新下界。