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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.

5 votes
0 answers
127 views

Finding an $\mathbb{F}_q$-point on one specific intersection of quadrics

Let $\mathbb{F}_q$ be a finite field of large characteristic and $a_1, a_2, \cdots, a_n \in \mathbb{F}_q$ be some pairwise different elements. I assume that $\sqrt{-1} \in \mathbb{F}_q$. Consider the …
Dimitri Koshelev's user avatar
1 vote
1 answer
207 views

What is the fastest known algorithm for evaluating a homogeneous binary polynomial?

This question was initially posted on math.stackexchange.com, but there is no appropriate answer, hence I have the right to publish it here again. Let $f(x,y) = \sum_{i = 0}^d f_i x^i y^{d-i}$ be a ho …
Dimitri Koshelev's user avatar