# public-key cryptography

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## public-key cryptography

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Symmetric key algorithms make use of shorter keys in comparison with the keys used by asymmetric algorithms such as RSA (Rivest, Shamir and Adleman), ElGamal or Elliptic Curve Cryptography (ECC) .
Table 1 shows the maximum key length of some symmetric and asymmetric algorithms. As Figure 3 reflects the key of asymmetric algorithms is larger than the symmetric ones.
There are many asymmetric algorithms they are Rivest Shamir Adleman (RSA), Diffie--Hellman, Digital Signature algorithm (DSA).
1: Symmetric algorithm Vs Asymmetric algorithm Symmetric Encryption Asymmetric Encryption Functionality Allows efficient Enables security in communication between two settings in which parties in a closed symmetric encryption environment.
Because of computational complexity, the asymmetric algorithms are typically used to provide the services like authentication, key exchange, and digital signature.
The implemented security scheme fulfills the information confidentiality, integrity and authenticity requirements using symmetric cryptographic algorithms with keys smaller than asymmetric algorithms, providing less time for information processing with the same security level.
Asymmetric algorithms use different values for encryption and decryption and do not need to share secret between two parties.
(2) The Back propagation can be considered analogy to the Asymmetric Algorithms like RSA, Knapsack problem.
Asymmetric Algorithms http://www.suse.de/~garloff/Writings/mutt_gpg/node3.html Accessed on 2010-05-12 Tab.
 Jacques Patarin, "Hidden Field Equations and Isomorphism of Polynomials two new families of Asymmetric Algorithms", Eurocrypt'96, Springer Verlag, pp.33-48
Asymmetric algorithms are based on mathematically related, but different keys.
AKA does not follow the conventional asymmetric architectures that utilize asymmetric algorithms to distribute symmetric keys (session keys) in an authentic manner.

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