Cryptography

Efficiency is a critical requirement since public key pair is frequently used in many different operations in block chain protocol. Elliptic Curve Cryptography, ECC family of algorithms is used in the bitcoin as well as an Ethereum block chain for generating the key pair. Why ECC not RSA? ECC is stronger than RSA for a given number of bits. The key may be a private key or a public key. Asymmetric-key algorithm A cryptographic algorithm that uses two related keys, a public key and a private key. The two keys have the property that determining the private key from the public key is computationally infeasible. Also known as a public-key algorithm. One of the main problems with the use of encryption algorithms public key lies in its low performance. For example, a symmetric encryption algorithm allows you to decrypt 256 bytes 4000 times faster than an asymmetric algorithm. There are many encryption algorithms for the public keys.

Derrick Rountree, in Security for Microsoft Windows System Administrators, 2011

Asymmetric Encryption

Asymmetric encryption is also referred to as public key encryption. In asymmetric encryption, both the encrypting and decrypting systems have a set of keys. One is called the public key, and another is called the private key. If the message is encrypted with one key in the pair, the message can be decrypted only with the other key in the pair.

Asymmetric key algorithms are not quite as fast as symmetric key algorithms. This is partially due to the fact that asymmetric key algorithms are generally more complex, using a more sophisticated set of functions.

Asymmetric Key Algorithms

Asymmetric Cryptography Algorithms

Asymmetric key algorithms aren't as widely used as their symmetric counterparts. So we'll just go over two of the big ones: Diffie-Hellman and RSA. /native-instruments-massive-key-generator.html.

Diffie-Hellman: The Diffie-Hellman algorithm was one of the earliest known asymmetric key implementations. The Diffie-Hellman algorithm is mostly used for key exchange. Although symmetric key algorithms are fast and secure, key exchange is always a problem. You have to figure out a way to get the private key to all systems. The Diffie-Hellman algorithm helps with this. The Diffie-Hellman algorithm will be used to establish a secure communication channel. This channel is used by the systems to exchange a private key. This private key is then used to do symmetric encryption between the two systems.

RSA: It is the Rivest Shamir Adelman algorithm. RSA was developed in 1978. RSA was the first widely used asymmetric algorithms used for signing and encryption. It supports key lengths of 768 and 1,024 bits. The RSA algorithm uses a three-part process. The first part is key generation. The keys used in the RSA algorithm are generated using mathematical operations based on prime numbers. The second part of the process is encryption. This encryption is done using one of the keys in the key pair. The third part of the process is decryption. The decryption is done using the other key in the key pair.

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Symmetric-key algorithms[a] are algorithms for cryptography that use the same cryptographic keys for both encryption of plaintext and decryption of ciphertext. The keys may be identical or there may be a simple transformation to go between the two keys.[1] The keys, in practice, represent a shared secret between two or more parties that can be used to maintain a private information link.[2] This requirement that both parties have access to the secret key is one of the main drawbacks of symmetric key encryption, in comparison to public-key encryption (also known as asymmetric key encryption).[3][4]

Types[edit]

Symmetric-key encryption can use either stream ciphers or block ciphers.[5]

  • Stream ciphers encrypt the digits (typically bytes), or letters (in substitution ciphers) of a message one at a time. An example is the Vigenère Cipher.
  • Block ciphers take a number of bits and encrypt them as a single unit, padding the plaintext so that it is a multiple of the block size. Blocks of 64 bits were commonly used. The Advanced Encryption Standard (AES) algorithm approved by NIST in December 2001, and the GCM block cipher mode of operation use 128-bit blocks.

Implementations[edit]

Examples of popular symmetric-key algorithms include Twofish, Serpent, AES (Rijndael), Blowfish, CAST5, Kuznyechik, RC4, DES, 3DES, Skipjack, Safer+/++ (Bluetooth), and IDEA.[6]

Cryptographic primitives based on symmetric ciphers[edit]

Symmetric ciphers are commonly used to achieve other cryptographic primitives than just encryption.[citation needed]

Encrypting a message does not guarantee that this message is not changed while encrypted. Hence often a message authentication code is added to a ciphertext to ensure that changes to the ciphertext will be noted by the receiver. Message authentication codes can be constructed from symmetric ciphers (e.g. CBC-MAC).[citation needed]

However, symmetric ciphers cannot be used for non-repudiation purposes except by involving additional parties.[7] See the ISO/IEC 13888-2 standard.

Another application is to build hash functions from block ciphers. See one-way compression function for descriptions of several such methods.

Construction of symmetric ciphers[edit]

Many modern block ciphers are based on a construction proposed by Horst Feistel. Feistel's construction makes it possible to build invertible functions from other functions that are themselves not invertible.[citation needed]

Security of symmetric ciphers[edit]

Symmetric ciphers have historically been susceptible to known-plaintext attacks, chosen-plaintext attacks, differential cryptanalysis and linear cryptanalysis. Careful construction of the functions for each round can greatly reduce the chances of a successful attack.[citation needed]

Key management[edit]

Key establishment[edit]

Symmetric-key algorithms require both the sender and the recipient of a message to have the same secret key.All early cryptographic systems required one of those people to somehow receive a copy of that secret key over a physically secure channel.

Nearly all modern cryptographic systems still use symmetric-key algorithms internally to encrypt the bulk of the messages, but they eliminate the need for a physically secure channel by using Diffie–Hellman key exchange or some other public-key protocol to securely come to agreement on a fresh new secret key for each message (forward secrecy).

Key generation[edit]

When used with asymmetric ciphers for key transfer, pseudorandom key generators are nearly always used to generate the symmetric cipher session keys. However, lack of randomness in those generators or in their initialization vectors is disastrous and has led to cryptanalytic breaks in the past. Therefore, it is essential that an implementation use a source of high entropy for its initialization.[8][9][10]

Reciprocal cipher[edit]

A reciprocal cipher is a cipher where, just as one enters the plaintext into the cryptography system to get the ciphertext, one could enter the ciphertext into the same place in the system to get the plaintext. A reciprocal cipher is also sometimes referred as self-reciprocal cipher.

Practically all mechanical cipher machines implement a reciprocal cipher, a mathematical involution on each typed-in letter.Instead of designing two kinds of machines, one for encrypting and one for decrypting, all the machines can be identical and can be set up (keyed) the same way.[11]

Examples of reciprocal ciphers include: Windows 7 oem key generator.

  • Beaufort cipher[12]
  • Enigma machine[13]
  • Marie Antoinette and Axel von Fersen communicated with a self-reciprocal cipher.[14]
  • the Porta polyalphabetic cipher is self-reciprocal.[15]
  • Purple cipher[16]

Practically all modern ciphers can be classified as either a stream cipher, most of which use a reciprocol XOR cipher combiner, or a block cipher, most of which use use Feistel cipher or Lai–Massey scheme with a reciprocal transformation in each round.

Notes[edit]

  1. ^Other terms for symmetric-key encryption are secret-key, single-key, shared-key, one-key, and private-key encryption. Use of the last and first terms can create ambiguity with similar terminology used in public-key cryptography. Symmetric-key cryptography is to be contrasted with asymmetric-key cryptography.

References[edit]

  1. ^Kartit, Zaid (February 2016). 'Applying Encryption Algorithms for Data Security in Cloud Storage, Kartit, et al'. Advances in ubiquitous networking: proceedings of UNet15: 147.
  2. ^Delfs, Hans & Knebl, Helmut (2007). 'Symmetric-key encryption'. Introduction to cryptography: principles and applications. Springer. ISBN9783540492436.CS1 maint: uses authors parameter (link)
  3. ^Mullen, Gary & Mummert, Carl (2007). Finite fields and applications. American Mathematical Society. p. 112. ISBN9780821844182.CS1 maint: uses authors parameter (link)
  4. ^'Demystifying symmetric and asymmetric methods of encryption'. Cheap SSL Shop. 2017-09-28.
  5. ^Pelzl & Paar (2010). Understanding Cryptography. Berlin: Springer-Verlag. p. 30.
  6. ^Roeder, Tom. 'Symmetric-Key Cryptography'. www.cs.cornell.edu. Retrieved 2017-02-05.
  7. ^14:00-17:00. 'ISO/IEC 13888-2:2010'. ISO. Retrieved 2020-02-04.
  8. ^Ian Goldberg and David Wagner.'Randomness and the Netscape Browser'.January 1996 Dr. Dobb's Journal.quote:'it is vital that the secret keys be generated from an unpredictable random-number source.'
  9. ^Thomas Ristenpart , Scott Yilek.'When Good Randomness Goes Bad: Virtual Machine Reset Vulnerabilities and Hedging Deployed Cryptography (2010)'CiteSeerx: 10.1.1.183.3583quote from abstract:'Random number generators (RNGs) are consistently a weak link in the secure use of cryptography.'
  10. ^'Symmetric Cryptography'. James. 2006-03-11.
  11. ^Greg Goebel.'The Mechanization of Ciphers'.2018.
  12. ^'.. the true Beaufort cipher. Notice that we have reciprocal encipherment; encipherment and decipherment are identically the same thing.'--Helen F. Gaines.'Cryptanalysis: A Study of Ciphers and Their Solution'.2014.p. 121.
  13. ^Greg Goebel.'The Mechanization of Ciphers'.2018.
  14. ^Friedrich L. Bauer.'Decrypted Secrets: Methods and Maxims of Cryptology'.2006.p. 144
  15. ^David Salomon.'Coding for Data and Computer Communications'.2006.p. 245
  16. ^Greg Goebel.'US Codebreakers In The Shadow Of War'.2018.

What Is Asymmetric Algorithms

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