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**2011/275**

**Title:**

Inverting the Square systems is exponential

**Authors:**
Jintai Ding

**Abstract:**

In this paper, we prove that the degree of regularity of the family of Square systems, an HFE type of systems, over a prime finite field of odd characteristics q is exactly q, and therefore prove that \vskip .1in \begin{itemize} \item inverting Square systems algebraically is exponential, when q=O(n), where n is the number of variables of the system. \end{itemize}

**ePrint:**
https://eprint.iacr.org/2011/275

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