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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes
2 answers
1k views

How to solve a system of quadratic equations over finite fields?

Hello! Let $m$ be an odd positive integer. Let $r$ be the smallest extension order of finite field $GF(q)$ that the $m$-th roots of unity are in $GF(q^r)$. For instance, it can be assumed that $q = 2 …
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