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Lattice-Based Cryptography and NTRU
2021With the publication of Peter Shor’s seminal paper that factoring and discrete log computations would be entirely feasible on a quantum computer, and with advances in the building of quantum computers, there has been a focus on what is referred to as “post-quantum cryptography”.
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Post-Quantum Lattice-Based Cryptography
2021Quantum cryptography is a branch of cryptography that is a mixture of quantum mechanics and classical cryptography. The study of quantum cryptography is to design cryptographic algorithms and protocols that are against quantum computing attacks. In this chapter, the authors focus on analyzing characteristics of the quantum-proof cryptosystem and its ...
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RNS Approach in Lattice-Based Cryptography
2017Lattice-based cryptography (LBC) is a main branch of modern cryptography. Growing up and evolving mainly since 1996 [1], it is known to be a viable post-quantum alternative to all cryptosystems based on the factorization and discrete logarithm problems [30], such as the widely used Diffie-Hellman [8] key-exchange protocol and RSA [26].
Bajard, Jean-Claude, Eynard, Julien
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Towards Efficient Lattice-Based Cryptography
2011One essential quest in cryptography is the search for hard instances of a given computational problem that is known to be hard in the worst-case. In lattice cryptography we are in the unique situation that we have found a way of picking random instances which are at least as hard as well-studied lattice problems in the worst-case.
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Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign
2009We provide a brief history and overview of lattice based cryptography and cryptanalysis: shortest vector problems, closest vector problems, subset sum problem and knapsack systems, GGH, Ajtai-Dwork and NTRU. A detailed discussion of the algorithms NTRUEncrypt and NTRUSign follows.
Jeff Hoffstein +3 more
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Security in quantum cryptography
Reviews of Modern Physics, 2022Christopher Portmann, Renato Renner
exaly