Cryptanalysis of a multivariate CCZ scheme

July 21, 2025 Β· Declared Dead Β· πŸ› IACR Cryptology ePrint Archive

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Authors Alessio Caminata, Elisa Gorla, Madison Mabe, Martina Vigorito, Irene Villa arXiv ID 2507.15449 Category cs.CR: Cryptography & Security Cross-listed cs.SC Citations 0 Venue IACR Cryptology ePrint Archive Last Checked 4 months ago
Abstract
We consider the multivariate scheme Pesto, which was introduced by Calderini, Caminata, and Villa. In this scheme, the public polynomials are obtained by applying a CCZ transformation to a set of quadratic secret polynomials. As a consequence, the public key consists of polynomials of degree 4. In this work, we show that the public degree 4 polynomial system can be efficiently reduced to a system of quadratic polynomials. This seems to suggest that the CCZ transformation may not offer a significant increase in security, contrary to what was initially believed.
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