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  2. Public-key cryptography - Wikipedia

    en.wikipedia.org/wiki/Public-key_cryptography

    Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. [1] [2] Key pairs are generated with cryptographic algorithms based on mathematical problems termed one-way functions.

  3. Wiener's attack - Wikipedia

    en.wikipedia.org/wiki/Wiener's_attack

    The factorization of N and the private key d are kept secret, so that only Bob can decrypt the message. We denote the private key pair as (d, N). The encryption of the message M is given by C ≡ M e (mod N) and the decryption of cipher text C is given by C d ≡ (M e) d ≡ M ed ≡ M (mod N) (using Fermat's little theorem).

  4. Paillier cryptosystem - Wikipedia

    en.wikipedia.org/wiki/Paillier_cryptosystem

    The Paillier cryptosystem, invented by and named after Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography.The problem of computing n-th residue classes is believed to be computationally difficult.

  5. Key derivation function - Wikipedia

    en.wikipedia.org/wiki/Key_derivation_function

    Example of a Key Derivation Function chain as used in the Signal Protocol.The output of one KDF function is the input to the next KDF function in the chain. In cryptography, a key derivation function (KDF) is a cryptographic algorithm that derives one or more secret keys from a secret value such as a master key, a password, or a passphrase using a pseudorandom function (which typically uses a ...

  6. Digital signature - Wikipedia

    en.wikipedia.org/wiki/Digital_signature

    Using the encryption key pair, a person can engage in an encrypted conversation (e.g., regarding a real estate transaction), but the encryption does not legally sign every message he or she sends. Only when both parties come to an agreement do they sign a contract with their signing keys, and only then are they legally bound by the terms of a ...

  7. Hash table - Wikipedia

    en.wikipedia.org/wiki/Hash_table

    An associative array stores a set of (key, value) pairs and allows insertion, deletion, and lookup (search), with the constraint of unique keys. In the hash table implementation of associative arrays, an array A {\displaystyle A} of length m {\displaystyle m} is partially filled with n {\displaystyle n} elements, where m ≥ n {\displaystyle m ...

  8. Rabin cryptosystem - Wikipedia

    en.wikipedia.org/wiki/Rabin_cryptosystem

    The Rabin cryptosystem is a family of public-key encryption schemes based on a trapdoor function whose security, like that of RSA, is related to the difficulty of integer factorization. [ 1 ] [ 2 ] The Rabin trapdoor function has the advantage that inverting it has been mathematically proven to be as hard as factoring integers, while there is ...

  9. Key exchange - Wikipedia

    en.wikipedia.org/wiki/Key_exchange

    Key exchange (also key establishment) is a method in cryptography by which cryptographic keys are exchanged between two parties, allowing use of a cryptographic algorithm. In the Diffie–Hellman key exchange scheme, each party generates a public/private key pair and distributes the public key. After obtaining an authentic copy of each other's ...