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#Multivariate Cryptography

2 articles with this tag.

A visual representation of the GeMSS multivariate signature scheme
Post-Quantum Cryptography Advanced

GeMSS: Multivariate Signatures with HFEv-

GeMSS is a post-quantum signature scheme whose signatures have only a few hundred bits and whose public key is a system of quadratic equations. Learn how a hidden polynomial over GF(2^n) becomes a signature, how the signer finds roots, and why NIST dropped the scheme after a key-recovery attack.

41 min read

A visual representation of the RAINBOW Algorithm
Post-Quantum Cryptography Advanced

Rainbow

Rainbow signed messages using polynomial equations so tangled that solving them looks impossible. Then, in 2022, someone found a shortcut and broke it in a weekend on a laptop. Learn how it worked, and how it fell.

12 min read

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