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  2. Lattice-based cryptography - Wikipedia

    en.wikipedia.org/wiki/Lattice-based_cryptography

    Lattice-based cryptographic constructions hold a great promise for public-key post-quantum cryptography. [38] Indeed, the main alternative forms of public-key cryptography are schemes based on the hardness of factoring and related problems and schemes based on the hardness of the discrete logarithm and related problems.

  3. Short integer solution problem - Wikipedia

    en.wikipedia.org/wiki/Short_integer_solution_problem

    The Short Integer Solution (SIS) problem is an average case problem that is used in lattice-based cryptography constructions. Lattice-based cryptography began in 1996 from a seminal work by Ajtai [ 1 ] who presented a family of one-way functions based on the SIS problem.

  4. Post-quantum cryptography - Wikipedia

    en.wikipedia.org/wiki/Post-quantum_cryptography

    Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms (usually public-key algorithms) that are currently thought to be secure against a cryptanalytic attack by a quantum computer.

  5. Lattice problem - Wikipedia

    en.wikipedia.org/wiki/Lattice_problem

    In computer science, lattice problems are a class of optimization problems related to mathematical objects called lattices.The conjectured intractability of such problems is central to the construction of secure lattice-based cryptosystems: lattice problems are an example of NP-hard problems which have been shown to be average-case hard, providing a test case for the security of cryptographic ...

  6. GGH encryption scheme - Wikipedia

    en.wikipedia.org/wiki/GGH_encryption_scheme

    The Goldreich–Goldwasser–Halevi (GGH) lattice-based cryptosystem is a broken asymmetric cryptosystem based on lattices. There is also a GGH signature scheme which hasn't been broken as of 2024. The Goldreich–Goldwasser–Halevi (GGH) cryptosystem makes use of the fact that the closest vector problem can be a hard problem.

  7. Kyber - Wikipedia

    en.wikipedia.org/wiki/Kyber

    Kyber is a key encapsulation mechanism (KEM) designed to be resistant to cryptanalytic attacks with future powerful quantum computers.It is used to establish a shared secret between two communicating parties without an attacker in the transmission system being able to decrypt it.

  8. NTRU - Wikipedia

    en.wikipedia.org/wiki/NTRU

    NTRU is an open-source public-key cryptosystem that uses lattice-based cryptography to encrypt and decrypt data. It consists of two algorithms: NTRUEncrypt, which is used for encryption, and NTRUSign, which is used for digital signatures. Unlike other popular public-key cryptosystems, it is resistant to attacks using Shor's algorithm ...

  9. BLISS signature scheme - Wikipedia

    en.wikipedia.org/wiki/BLISS_signature_scheme

    BLISS (short for Bimodal Lattice Signature Scheme) is a digital signature scheme proposed by Léo Ducas, Alain Durmus, Tancrède Lepoint and Vadim Lyubashevsky in their 2013 paper "Lattice Signature and Bimodal Gaussians".