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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.
Asymmetric keys differ from symmetric keys in that the algorithms use separate keys for encryption and decryption, while a symmetric key’s algorithm uses a single key for both processes. Because multiple keys are used with an asymmetric algorithm, the process takes longer to produce than a symmetric key algorithm would.
Symmetric-key algorithms use a single shared key; keeping data secret requires keeping this key secret. Public-key algorithms use a public key and a private key. The public key is made available to anyone (often by means of a digital certificate). A sender encrypts data with the receiver's public key; only the holder of the private key can ...
A key can directly be generated by using the output of a Random Bit Generator (RBG), a system that generates a sequence of unpredictable and unbiased bits. [10] A RBG can be used to directly produce either a symmetric key or the random output for an asymmetric key pair generation.
The advantage of asymmetric systems is that the public key can be freely published, allowing parties to establish secure communication without having a shared secret key. In practice, asymmetric systems are used to first exchange a secret key, and then secure communication proceeds via a more efficient symmetric system using that key. [14]
First layer of the encryption: The ciphertext of the original readable message is hashed, and subsequently the symmetric keys are encrypted via the asymmetric key - e.g. deploying the algorithm RSA. In an intermediate step the ciphertext, and the hash digest of the ciphertext are combined into a capsule, and packed together.
Alice decrypts and verifies Bob's signature using his asymmetric public key. Alice concatenates the exponentials (g x, g y) (order is important), signs them using her asymmetric (private) key A, and then encrypts the signature with K. She sends the ciphertext to Bob. Bob decrypts and verifies Alice's signature using her asymmetric public key.
5.3.1 Asymmetric key algorithm. 6 Keys. Toggle Keys subsection. 6.1 Key authentication. 6.2 Transport/exchange. 6.3 Weak keys. 7 Cryptographic hash functions. 8 ...