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In August 2015 the cryptographic world was shaken by a sudden and surprising announcement by the US National Security Agency (NSA) concerning plans to transition to post-quantum algorithms. Since this...
Asymptotically faster quantum algorithms to solve multivariate quadratic equations.
Zero-knowledge proofs are a core building block for a broad range of cryptographic protocols. This paper introduces a generic zero-knowledge proof system capable of proving the correct computation of ...
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...
Methods are presented to derive with the aid of the computer mathematics software system SageMath the Multivariate Quadratic equation systems (MQ) for the input and output bit variables of a crypto...
This paper introduces a new central trapdoor for multivariate quadratic (MQ) public-key cryptosystems that allows for encryption, in contrast to time-tested MQ primitives such as Unbalanced Oil and ...
In this paper, we investigate the security of a public-key encryption scheme introduced by Huang, Liu and Yang (HLY) at PKC’12. This new scheme can be provably reduced to the hardness of solving a set...
Security of public key schemes in a post-quantum world is a challenging task---as both RSA and ECC will be broken then. In this paper, we show how post-quantum signature systems based on Multivariate ...
Security of public key schemes in a post-quantum world is a challenging task---as both RSA and ECC will be broken then. In this paper, we show how post-quantum signature systems based on Multivariate ...
This paper introduces a new intractable security problem whose intractability is due to the NP completeness of multivariate quadratic problem. This novel problem uses quaternion algebra in conjuncti...
It is well known that the problem to solve a set of randomly chosen multivariate quadratic equations over a finite field is NP-hard. However, when the number of variables is much larger than the num...
We have designed a new class of public key algorithms based on quasigroup string trans- formations using a specific class of quasigroups called multivariate quadratic quasigroups (MQQ). Our public k...
In this article, we show that public key schemes based on multivariate quadratic equations allow many equivalent, and hence super°uous private keys. We achieve this result by investigating several t...
The original version was published in Sicherheit 2005: Sicherheit —Schutz und Zuverl¨assigkeit, Beitr¨age der 2. Jahrestagung des Fachbereichs Sicherheit der Gesellschaft ur Informatik e.v. (GI), ...
Multivariate Quadratic public key schemes have been suggested back in 1985 by Matsumoto and Imai as an alternative for the RSA scheme. Since then, several other schemes have been proposed, for examp...

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