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08/28/2023
Applications of Finite non-Abelian Simple Groups to Cryptography in the Quantum Era
The theory of finite simple groups is a (rather unexplored) area likely ...
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04/25/2023
SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures
In this paper, we present a new diverse class of post-quantum group-base...
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09/06/2022
A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem
Group-based cryptography is a relatively young family in post-quantum cr...
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07/08/2022
Post-quantum hash functions using SL_n(𝔽_p)
We define new families of Tillich-Zémor hash functions, using higher dim...
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03/29/2022
The root extraction problem in braid group-based cryptography
The root extraction problem in braid groups is the following: given a br...
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02/11/2022
Group-based Cryptography in the Quantum Era
In this expository article we present an overview of the current state-o...
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02/10/2022
Semidirect Product Key Exchange: the State of Play
In this report we survey the various proposals of the key exchange proto...
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11/10/2021
On the efficiency of a general attack against the MOBS cryptosystem
All instances of the semidirect key exchange protocol, a generalisation ...
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05/17/2021
Cryptanalysis of Semidirect Product Key Exchange Using Matrices Over Non-Commutative Rings
It was recently demonstrated that the Matrix Action Key Exchange (MAKE) ...
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02/08/2021
Cryptographic multilinear maps using pro-p groups
To any nilpotent group of class n, one can associate a non-interactive k...
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02/08/2021
A Closer Look at the Multilinear Cryptography using Nilpotent Groups
In a previous paper we generalized the definition of a multilinear map t...
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11/28/2020
A Closer Look at the Tropical Cryptography
We examine two public key exchange protocols proposed recently by Grigor...
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02/23/2019
Multilinear Cryptography using Nilpotent Groups
In this paper we develop a novel idea of multilinear cryptosystem using ...
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05/10/2018
The Hidden Subgroup Problem and Post-quantum Group-based Cryptography
In this paper we discuss the Hidden Subgroup Problem (HSP) in relation t...
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12/19/2017
