On the Structure of Cubic and Quartic Polynomials

In this paper we study the structure of polynomials of degree three and four that have high bias or high Gowers norm, over arbitrary prime fields. In particular we obtain the following results.

• Type: Conference
• Year: 2010
• Where: STOC
• Authors: Elad Haramaty and Amir Shpilka
• Keywords: Algorithms, Arbitrary Prime Fields, STOC 2010