中文摘要：

文章研究了环R=Z4＋uZ4（u2=0）32的斜循环码，通过分析斜多项式环R[x;σ]的结构和性质给出了斜循环码的生成元；并证明了环R上的斜循环码等价于该环上的循环码或一类准循环码；进一步给出了斜循环码的计数及偶长的欧几里得内积和厄米特内积下对偶码的生成元。

英文摘要：

In this paper, a class of linear codes, called skew cyclic codes over the ring R = Z4 ＋ uZ4 is studied, where u2 =0. By analyzing the structural properties of skew polynomial ring R[σ;a], the generators of skew cyclic codes are given. It is shown that skew cyclic codes over R are equivalent to either cyclic codes or quasi-cyclic codes over R. Then the enumeration of skew cyclic codes is given, and the generators of even length of dual codes with respect to Euclidean and Hermitian inner products are determined.