Distribution properties of compressing sequences derived from primitive sequences modulo odd prime powers
(1401.5874)Abstract
Let $\underline{a}$ and $\underline{b}$ be primitive sequences over $\mathbb{Z}/(pe)$ with odd prime $p$ and $e\ge 2$. For certain compressing maps, 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 the times $t$ such that $\alpha(t)=k$, where $\underline{\alpha}$ is a sequence related to $\underline{a}$. We also discuss the $s$-uniform distribution property of compressing sequences. For some compressing maps, we have that there exist different primitive sequences such that the compressing sequences are $s$-uniform. We also discuss that compressing sequences can be $s$-uniform for how many elements $s$.
We're not able to analyze this paper right now due to high demand.
Please check back later (sorry!).
Generate a summary of this paper on our Pro plan:
We ran into a problem analyzing this paper.