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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

3 votes
0 answers
66 views

Efficiently finding solutions to the Rainbow cryptosystem using quotient spaces

Repost of a mathematics stackexchange question here as this concerns my research and it went unanswered on there. In this paper, Ward Beullens gives another way to look at the Rainbow cryptosystem. In …
2 votes
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38 views

Criterion for unicity and existence of pre-image in multivariate cryptography

m\to\mathbb{F}^m$ and $\mathcal{T}:\mathbb{F}^n\to\mathbb{F}^n$) and the third one $\mathcal{F}:\mathbb{F}^n\to\mathbb{F}^m$ (usually called the central map) is a system of $m$ multivariate quadratic polynomials … It's made up of quadratic multivariate polynomials. Why should the resulting pre-image be unique? …