Let $\underline{a}$ and $\underline{b}$ be primitive sequences over$\mathbb{Z}/(p^e)$ with odd prime $p$ and $e\ge 2$. For certain compressingmaps, we consider the distribution properties of compressing sequences of$\underline{a}$ and $\underline{b}$, and prove that$\underline{a}=\underline{b}$ if the compressing sequences are equal at thetimes $t$ such that $\alpha(t)=k$, where $\underline{\alpha}$ is a sequencerelated to $\underline{a}$. We also discuss the $s$-uniform distributionproperty of compressing sequences. For some compressing maps, we have thatthere exist different primitive sequences such that the compressing sequencesare $s$-uniform. We also discuss that compressing sequences can be $s$-uniformfor how many elements $s$.
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机译：令$ \ underline {a} $和$ \ underline {b} $是具有奇质数$ p $和$ e \ ge 2 $的$ \ mathbb {Z} /（p ^ e）$上的原始序列。对于某些压缩图，我们考虑$ \下划线{a} $和$ \ underline {b} $的压缩序列的分布特性，并证明$ \ underline {a} = \ underline {b} $在时间$ t $等于$ \ alpha（t）= k $，其中$ \下划线{\ alpha} $是与$ \下划线{a} $相关的序列。我们还将讨论压缩序列的$ s $均匀分布特性。对于某些压缩图，我们有不同的原始序列，使得压缩序列是$ s $-均匀的。我们还讨论了对于多少个元素$ s $，压缩序列可以是$ s $ -uniform。
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