Factoring Polynomials over Finite Fields using Balance Test

Chandan Saha
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), (Gao, 2001) designed a polynomial time algorithm that fails to factor only if the input polynomial satisfies a strong symmetry property, namely square balance. In this paper, we propose an extension of Gao's algorithm that fails only under an even stronger symmetry property. We also show that our property can be used to improve the...
This data center is not currently reporting usage information. For information on how your repository can submit usage information, please see our documentation.
We found no citations for this text. For information on how to provide citation information, please see our documentation.