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Rosa Fera

Publications and source records attributed to Rosa Fera.

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OliVier: an Oil and Vinegar based cryptosystem

In this paper, we present OliVier a new Public Key Exchange cryptosystem that is based on a multivariate quadratic polynomial system: Oil & Vinegar polynomials together with fully quadratic ones. We describe its designing process, usage, complexity

math.AC

Hilbert series and degrees of regularity of Oil $\&$ Vinegar and Mixed quadratic systems

In this paper, we analyze the algebraic invariants for two classes of multivariate quadratic systems: systems made by OV quadratic polynomials and systems made by both OV polynomials and fully quadratic ones. For such systems, we explicitly compute the Hilbert series, and we give bounds on the degree of regularity, solving degree and first fall degree that are useful in cryptographic applications.

math.AC