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XTR - Wikipedia, the free encyclopedia

XTR

From Wikipedia, the free encyclopedia

In cryptography, XTR is an algorithm for public-key encryption. XTR stands for ‘ECSTR’, which is an abbreviation for Efficient and Compact Subgroup Trace Representation.

It is a novel method that makes use of traces to represent and calculate powers of elements of a subgroup of a finite field. It is based on the primitive underlying the very first public key cryptosystem, the Diffie-Hellman key agreement protocol.

From a security point of view, XTR is a traditional discrete logarithm system: For its security it relies on the difficulty of solving discrete logarithm related problems in the multiplicative group of a finite field. Some advantages of XTR are its fast key generation (much faster than RSA), small key sizes (much smaller than RSA, comparable with ECC for current security settings), and speed (overall comparable with ECC for current security settings).

[edit] References

Public-key cryptography
v  d  e
Algorithms: Cramer-Shoup | DH | DSA | ECDH | ECDSA | EKE | ElGamal | GMR | IES | Lamport | MQV | NTRUEncrypt | NTRUSign | Paillier | Rabin | RSA | Schnorr | SPEKE | SRP | XTR
Theory: Discrete logarithm | Elliptic curve cryptography | RSA problem
Standardization: ANS X9F1 | CRYPTREC | IEEE P1363 | NESSIE | NSA Suite B   Misc: Digital signature | Fingerprint | PKI | Web of trust | Key size
Cryptography
v  d  e
History of cryptography | Cryptanalysis | Cryptography portal | Topics in cryptography
Symmetric-key algorithm | Block cipher | Stream cipher | Public-key cryptography | Cryptographic hash function | Message authentication code | Random numbers


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