中文摘要：

该文研究了ZpZp[u]-加性循环码，其中P是素数，u^2=0．文中证明了（1-u）-加性常循环码与加性循环码同构，构造了ZpZp[u]-到Zp^α＋pβ的Gray映射，并证明了（1-u）-加性常循环码的Gray象是一个广义的准循环码．此外研究了ZpZp[u]-加性循环码的结构，给出了ZpZp[u]-加性循环码的最小生成集．

英文摘要：

Additive cyclic codes over Zp Zp[u] are discussed, where p is a prime and u^2 = 0. It is proved that （1- u） -additive constacyclic codes is isomorphic to additive cyclic codes. A new Gray map from ZpZp[u] to Zp^α＋pβ is defined, and it is proved that the Gray image of a （1- u） -additive constacyclic code is a generalized quasi-cyclic code. Additionally, the structure of Zp Zp[u] -additive cyclic codes is obtained and their minimal spanning sets are also given.