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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.
A sender encrypts data with the receiver's public key; only the holder of the private key can decrypt this data. Since public-key algorithms tend to be much slower than symmetric-key algorithms, modern systems such as TLS and SSH use a combination of the two: one party receives the other's public key, and encrypts a small piece of data (either ...
A trusted third party, called the Private Key Generator (PKG), generates the corresponding private keys. To operate, the PKG first publishes a master public key, and retains the corresponding master private key (referred to as master key). Given the master public key, any party can compute a public key corresponding to the identity by combining ...
A key encapsulation mechanism, to securely transport a secret key from a sender to a receiver, consists of three algorithms: Gen, Encap, and Decap. Circles shaded blue—the receiver's public key and the encapsulation —can be safely revealed to an adversary, while boxes shaded red—the receiver's private key and the encapsulated secret key —must be kept secret.
Identity-based systems have a characteristic problem in operation. Suppose Alice and Bob are users of such a system. Since the information needed to find Alice's public key is completely determined by Alice's ID and the master public key, it is not possible to revoke Alice's credentials and issue new credentials without either (a) changing Alice's ID (usually a phone number or an email address ...
Diffie–Hellman (DH) key exchange [nb 1] is a mathematical method of securely generating a symmetric cryptographic key over a public channel and was one of the first public-key protocols as conceived by Ralph Merkle and named after Whitfield Diffie and Martin Hellman.
Provides custom key comment (which will be appended at the end of the public key). -K Imports a private resident key from a FIDO2 device. -p Requests changing the passphrase of a private key file instead of creating a new private key. -t Specifies the type of key to create (e.g., rsa). -o Use the new OpenSSH format. -q quiets ssh-keygen.
PKCS #8 is one of the family of standards called Public-Key Cryptography Standards (PKCS) created by RSA Laboratories. The latest version, 1.2, is available as RFC 5208. [1] The PKCS #8 private key may be encrypted with a passphrase using one of the PKCS #5 standards defined in RFC 2898, [2] which supports multiple encryption schemes.