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arXiv · 2110.13763

The equivariant complexity of multiplication in finite field extensions

Jean-Marc Couveignes·Tony Ezome
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Abstract

We study the complexity of multiplication of two elements in a finite field extension given by their coordinates in a normal basis. We show how to control this complexity using the arithmetic and geometry of algebraic curves.

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Jean-Marc Couveignes, Tony Ezome. 2021-10-26. The equivariant complexity of multiplication in finite field extensions. https://arxiv.org/abs/2110.13763

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