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  2. Lattice-based cryptography - Wikipedia

    en.wikipedia.org/wiki/Lattice-based_cryptography

    Lattice-based cryptography is the generic term for constructions of cryptographic primitives that involve lattices, either in the construction itself or in the security proof. Lattice-based constructions support important standards of post-quantum cryptography . [ 1 ]

  3. 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.

  4. 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 ...

  5. IEEE P1363 - Wikipedia

    en.wikipedia.org/wiki/IEEE_P1363

    IEEE P1363 is an Institute of Electrical and Electronics Engineers (IEEE) standardization project for public-key cryptography. It includes specifications for: Traditional public-key cryptography (IEEE Std 1363-2000 and 1363a-2004) Lattice-based public-key cryptography (IEEE Std 1363.1-2008) Password-based public-key cryptography (IEEE Std 1363. ...

  6. 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.

  7. NTRUEncrypt - Wikipedia

    en.wikipedia.org/wiki/NTRUEncrypt

    The NTRUEncrypt public key cryptosystem, also known as the NTRU encryption algorithm, is an NTRU lattice-based alternative to RSA and elliptic curve cryptography (ECC) and is based on the shortest vector problem in a lattice (which is not known to be breakable using quantum computers).

  8. Ring learning with errors - Wikipedia

    en.wikipedia.org/wiki/Ring_learning_with_errors

    A major advantage that RLWE based cryptography has over the original learning with errors (LWE) based cryptography is found in the size of the public and private keys. RLWE keys are roughly the square root of keys in LWE. [1] For 128 bits of security an RLWE cryptographic algorithm would use public keys around 7000 bits in length. [9]

  9. Kyber - Wikipedia

    en.wikipedia.org/wiki/Kyber

    This asymmetric cryptosystem uses a variant of the learning with errors lattice problem as its basic trapdoor function. It won the NIST competition for the first post-quantum cryptography (PQ) standard. [1] NIST calls its standard Module-Lattice-Based Key-Encapsulation Mechanism (ML-KEM). [2]