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In a public-key cryptosystem, the encryption key is public and distinct from the decryption key, which is kept secret (private). An RSA user creates and publishes a public key based on two large prime numbers, along with an auxiliary value. The prime numbers are kept secret.
In an asymmetric key encryption scheme, anyone can encrypt messages using a public key, but only the holder of the paired private key can decrypt such a message. The security of the system depends on the secrecy of the private key, which must not become known to any other.
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.
Alice's public key is (,,). To send her a message, Bob chooses a random b and then sends Alice (unencrypted) together with the message encrypted with symmetric key (). Only Alice can determine the symmetric key and hence decrypt the message because only she has a (the private key). A pre-shared public key also prevents man-in-the-middle attacks ...
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 ...
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.ECC allows smaller keys to provide equivalent security, compared to cryptosystems based on modular exponentiation in Galois fields, such as the RSA cryptosystem and ElGamal cryptosystem.
In a public-key cryptosystem, a pair of private and public keys are created: data encrypted with either key can only be decrypted with the other. This means that a signing entity that declared their public key can generate an encrypted signature using their private key, and a verifier can assert the source if it is decrypted correctly using the ...
Password is the master password from which a derived key is generated; Salt is a sequence of bits, known as a cryptographic salt; c is the number of iterations desired; dkLen is the desired bit-length of the derived key; DK is the generated derived key; Each hLen-bit block T i of derived key DK, is computed as follows (with + marking string ...