On the power of straight- line computations in finite fields. Abstract: It is shown that a lower hound of n^{3} or more on the straight-line complexity of a ...
ISSN Information: Print ISSN: 0018-9448 Electronic ISSN: 1557-9654
On the power of straight- line computations in finite fields - IEEE Xplore
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The initial framework of our investigation is the model of straight-line algorithms using the arithmetic operations of the field. We show that the complexity ...
Jun 8, 2011 · ABSTRACT. We study the complexity of computing the kth-power of an element of F2n by constant depth arithmetic circuits over.
So if we construct a finite field, we know it will have prime-power order. Another finite-field theorem tells us that all finite fields of a given size are ...
In mathematics, finite field arithmetic is arithmetic in a finite field (a field containing a finite number of elements) contrary to arithmetic in a field ...
putatioa time probably should be within a second for on-line identification on the ... a prime power q, there exists one and only one finite field IFq, ...
Feb 7, 2022 · need to understand how to compute in finite fields. ... One way to represent the nonzero elements of a finite field is as explicit powers of.
A primitive normal polynomial is used to simplify the calculation of multiplica- tive inverses. 1. Introduction. Finite fields have become popular as algebraic ...
The set {0,1,2,...,p − 1}, where p is a prime with addition and multiplication modulo p is a field. We denote this field by Fp. 1.3.1 Prime Power Fields. If q ...
The works reported in this thesis mainly focus on the efficient computation and hard- ware implementation of digit-serial Montgomery multiplication. A most- ...