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arXiv · 2106.13938

Optimal Normal Bases Over Finite Fields

Duggirala Meher Krishna·Duggirala Ravi
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Abstract

In this paper, a method for constructing a near optimal normal basis for algebraic extensions of a finite field is described. In each extension, except for the squares of basis elements, the product of two distinct normal basis elements can be expressed as a linear combination of those two basis elements, with coefficients in a much smaller subfield.

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Duggirala Meher Krishna, Duggirala Ravi. 2021-06-26. Optimal Normal Bases Over Finite Fields. https://doi.org/10.14445/22315373%2Fijmtt-v67i6p508

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