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We then remove the helper from the protocol with a "cut-and-choose" protocol and we apply the Fiat-Shamir transform to obtain signature schemes with security proof in the QROM. We show that the result...
The problem of solving a system of quadratic equations in multiple variables---known as multivariate-quadratic or MQ problem---is the underlying hard problem of various cryptosystems. For efficiency r...
The hardness of solving multivariate quadratic (MQ) systems is the underlying problem for multivariate-based schemes in the field of post-quantum cryptography. The concrete, practical hardness of this...
We propose SOFIA, the first MQ-based signature scheme provably secure in the quantum-accessible random oracle model (QROM). Our construction relies on an extended version of Unruh's transform for 5-pa...
It is well known that multivariate quadratic (MQ) digital signature schemes have small signatures but huge public keys. However, in some settings, such as public key infrastructure (PKI), both variabl...
This paper presents MQDSS, the first signature scheme with a security reduction based on the problem of solving a multivariate system of quadratic equations (MQ problem). In order to construct this sc...
We propose a new general framework for the security of multivariate quadratic (MQ) schemes with respect to attacks that exploit the existence of linear subspaces. We adopt linearity measures that ha...
Multivariate Quadratic polynomial (MQ) problem serve as the basis of security for potentially post-quantum cryptosystems. The hardness of solving MQ problem depends on a number of parameters, most i...
Multivariate public key cryptography which relies on MQ (Multivariate Quadratic) problems is one of the main approaches to guarantee the security of communication in the post-quantum world. In this pa...
PMI+ is a Multivariate Quadratic (MQ) public key algorithm used for encryption and decryption operations, and belongs to post quantum cryptography.We designs a hardware on FPGAs to efficiently impleme...
We describe a new trap-door (and PKC) proposal. The proposal is ``multivariate quadratic'' (relies on the hardness of solving systems of quadratic equations); it is also code-based, and uses the code-...
In this article, we propose an identification scheme which is based on the two combi- natorial problems Multivariate Quadratic equations (MQ) and Isomorphism of Polyno- mials (IP). We show that this...
In this paper ways to efficiently implement public-key schemes based onMultivariate Qua- dratic polynomials (MQ-schemes for short) are investigated. In particular, they are claimed to resist quantum...

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