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Lattice-based threshold cryptography [PDF]
Ever since the appearance of quantum computers, prime factoring and discrete logarithm based cryptography has been put in question, giving birth to the so called post-quantum cryptography. The goal of this bachelor's degree thesis is to develop a post-quantum threshold cryptosystem, in particular based on Ring Learning with Errors, a lattice-based ...
Alborch Escobar, Ferran
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Hardness of Lattice Based Cryptography [PDF]
In this thesis we will discuss hard computational problems in lattice theory and relate them to cryptographic constructions. Many of these problems enjoy average-case hardness which makes them attractive for cryptography. In addition, lattice based cryptography is a candidate for post-quantum cryptography, as there is no known quantum algorithm which ...
Tunge, Thor
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Lattice-Based Cryptography in Miden VM. [PDF]
This note discusses lattice-based cryptography over the field with $p= 2^{64} - 2^{32} + 1$ elements, with an eye to supporting lattice-based cryptography operations in virtual machines such as Miden VM that operate natively over this field. It discusses
Szepieniec, Alan, Vercauteren, Fréderik
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Cryptography: Advances in Secure Communication and Data Protection [PDF]
In the innovative work secure communication and data protection are being main field, which are emerged by cryptography as a fundamental pillar. Strong cryptographic methods are now essential given the rising reliance on digital technologies and the ...
Victor Melvin +4 more
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AbstractLet $$\mathbb {R}^n$$ R n be an n-dimensional Euclidean space and $$x=(x_1, x_2, \ldots , x_n)\in \mathbb {R}^n$$ x = (
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Secure and Efficient Code-Based Cryptography for Multi-Party Computation and Digital Signatures
Code-based cryptography is a promising candidate for post-quantum cryptography due to its strong security guarantees and efficient implementations. In this paper, we explore the use of code-based cryptography for multi-party computation and digital ...
Abdellatif Kichna, Abderrazak Farchane
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Post-quantum cryptography Algorithm's standardization and performance analysis
-Quantum computer is no longer a hypothetical idea. It is the world's most important technology and there is a race among countries to get supremacy in quantum technology.
Manish Kumar
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Research on Lattice-Based Cryptographic Algorithms [PDF]
The security of classical public-key cryptosystems, which operate based on the computational intractability of integer factorization and discrete logarithm problems, is profoundly threatened by the rapid development of quantum computing.
WU Kun, TANG Jinyi, LI Peiqi, WANG Xiaorui, WANG Xiaoyu
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Symbolic Proofs for Lattice-Based Cryptography [PDF]
Symbolic methods have been used extensively for proving security of cryptographic protocols in the Dolev-Yao model, and more recently for proving security of cryptographic primitives and constructions in the computational model. However, existing methods for proving security of cryptographic constructions in the computational model often require ...
Gilles Barthe +5 more
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A Mathematical Perspective on Post-Quantum Cryptography
In 2016, the National Institute of Standards and Technology (NIST) announced an open competition with the goal of finding and standardizing suitable algorithms for quantum-resistant cryptography.
Maximilian Richter +3 more
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