Quasigroups and their applications in cryptography
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MQQ-SIG: An ultra-fast and provably CMA resistant digital signature scheme
D Gligoroski, RS Ødegård, RE Jensen, L Perret… - … Conference on Trusted …, 2011 - Springer
We present MQQ-SIG, a signature scheme based on “Multivariate Quadratic Quasigroups”.
The MQQ-SIG signature scheme has a public key consisting of n2 quadratic polynomials in …
The MQQ-SIG signature scheme has a public key consisting of n2 quadratic polynomials in …
[BOOK][B] Semirings as building blocks in cryptography
M Durcheva - 2019 - books.google.com
Semirings as an algebraic structure have been known since 1934, but remained unapplied
for mathematical purposes for a long time. It has only been in the past decade that they have …
for mathematical purposes for a long time. It has only been in the past decade that they have …
Construction of multivariate quadratic quasigroups (mqqs) in arbitrary galois fields
S Samardjiska, Y Chen… - 2011 7th International …, 2011 - ieeexplore.ieee.org
In this paper we describe two methods for constructing Multivariate Quadratic Quasigroups
(MQQ) in Galois fields of any characteristic and order. Our constructions extend the …
(MQQ) in Galois fields of any characteristic and order. Our constructions extend the …
Quantum secure digital signature scheme based on multivariate quadratic quasigroups (MQQ)
S Kumar, I Gupta, AJ Gupta - Advances in Mathematics of …, 2024 - aimsciences.org
In this paper, we propose a digital signature scheme, the MQQ-Sigv scheme, that relies on
the difficulty of solving the multivariate quadratic (MQ) problem. The central map of the …
the difficulty of solving the multivariate quadratic (MQ) problem. The central map of the …
On a special class of multivariate quadratic quasigroups (MQQs)
Y Chen, D Gligoroski, SJ Knapskog - Journal of Mathematical …, 2013 - degruyter.com
In this paper, we study a special class of recently introduced quasigroups called multivariate
quadratic quasigroups (MQQs) and solve several open research problems about them. Our …
quadratic quasigroups (MQQs) and solve several open research problems about them. Our …
An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields
Y Zhang, H Zhang - SpringerPlus, 2016 - Springer
As the basic cryptographic structure for multivariate quadratic quasigroup (MQQ) scheme,
MQQ has been one of the latest tools in designing MQ cryptosystem. There have been …
MQQ has been one of the latest tools in designing MQ cryptosystem. There have been …
New developments in quasigroup-based cryptography
A Mileva - … Perspectives in Cryptology and Information Security, 2014 - igi-global.com
This chapter offers an overview of new developments in quasigroup-based cryptography,
especially of new defined quasigroup-based block ciphers and stream ciphers, hash …
especially of new defined quasigroup-based block ciphers and stream ciphers, hash …
A study of public key cryptosystems based on quasigroups
A public-key cryptosystem is the undoubted spine of present-day communication systems.
Many mathematical theories like number theory, group theory, and ring theory were utilized …
Many mathematical theories like number theory, group theory, and ring theory were utilized …
[PDF][PDF] An algorithm for judging and generating bilinear multivariate quadratic quasigroups
Y Zhang, H Zhang - Applied Mathematics & Information …, 2013 - digitalcommons.aaru.edu.jo
Multivariate Quadratic Quasigroups (MQQs) as a suitable class of quasigroups for
multivariate public key cryptography recently have been an important mathematical tool in …
multivariate public key cryptography recently have been an important mathematical tool in …