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Curve25519 information


In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed for use with the Elliptic-curve Diffie–Hellman (ECDH) key agreement scheme. It is one of the fastest curves in ECC, and is not covered by any known patents.[1] The reference implementation is public domain software.[2][3]

The original Curve25519 paper defined it as a Diffie–Hellman (DH) function. Daniel J. Bernstein has since proposed that the name Curve25519 be used for the underlying curve, and the name X25519 for the DH function.[4]

  1. ^ Bernstein. "Irrelevant patents on elliptic-curve cryptography". cr.yp.to. Retrieved 2016-02-08.
  2. ^ A state-of-the-art Diffie-Hellman function by Daniel J. Bernstein"My curve25519 library computes the Curve25519 function at very high speed. The library is in the public domain."
  3. ^ "X25519". Crypto++. 5 March 2019. Archived from the original on 29 August 2020. Retrieved 3 February 2023.
  4. ^ "[Cfrg] 25519 naming". Retrieved 2016-02-25.

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Curve25519

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In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed...

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Elliptic Curve Digital Signature Algorithm

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voluntary tainting has already been proved in the past. (See also the libssh curve25519 introduction.) Nevertheless, a proof that the named NIST curves exploit...

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WireGuard

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registered trademark of Jason A. Donenfeld. WireGuard uses the following: Curve25519 for key exchange ChaCha20 for symmetric encryption Poly1305 for message...

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Curve448

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Transport Layer Security (TLS) standards along with Curve25519. In 2017, NIST announced that Curve25519 and Curve448 would be added to "Special Publication...

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DNSCurve

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though SMTP, HTTP, HTTPS, are also vulnerable to DoS. DNSCurve uses Curve25519 elliptic curve cryptography to establish the identity of authoritative...

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Elliptic curve point multiplication

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ladder for Curve25519. Nevertheless, the libraries have implementations of other cryptographic primitives as well. Apart from Curve25519, there have...

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ZeroTier

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use as an SDWAN or VPN application: Asymmetric public key encryption is Curve25519, a 256-bit elliptic curve variant. All traffic is encrypted end to end...

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EdDSA

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\end{aligned}}} Ed25519 is the EdDSA signature scheme using SHA-512 (SHA-2) and Curve25519 where q = 2 255 − 19 , {\displaystyle q=2^{255}-19,} E / F q {\displaystyle...

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Signal Protocol

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and a triple Elliptic-curve Diffie–Hellman (3-DH) handshake, and uses Curve25519, AES-256, and HMAC-SHA256 as primitives. The development of the Signal...

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Kyber

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replacing the extremely efficient, non-quantum-safe ECDH key exchange using Curve25519 was found to increase runtime by a factor of about 2.3 (1.5–7), an estimated...

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Virtual private network

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it up to adoption by VPN providers. By default, WireGuard utilizes the Curve25519 protocol for key exchange and ChaCha20-Poly1305 for encryption and message...

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Cryptocat

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Encryption Standard in Galois/Counter Mode for authenticated encryption, Curve25519 for Elliptic curve Diffie-Hellman shared secret agreement, HMAC-SHA256...

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WolfSSL

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high demand environments. wolfCrypt also includes support for the recent Curve25519 and Ed25519 algorithms. wolfCrypt acts as a back-end crypto implementation...

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DNSCrypt

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Name System Security Extensions (DNSSEC) Elliptic curve cryptography Curve25519 DNSCurve Biggs, John (6 December 2011). "DNSCrypt Encrypts Your DNS Traffic...

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Java version history

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Local-Variable Syntax for Lambda Parameters JEP 324: Key Agreement with Curve25519 and Curve448 JEP 327: Unicode 10 JEP 328: Flight Recorder JEP 329: ChaCha20...

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Double Ratchet Algorithm

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Algorithm uses for the DH ratchet Elliptic curve Diffie-Hellman (ECDH) with Curve25519, for message authentication codes (MAC, authentication) Keyed-hash message...

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Advanced Vector Extensions

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libsodium uses AVX in the implementation of scalar multiplication for Curve25519 and Ed25519 algorithms, AVX2 for BLAKE2b, Salsa20, ChaCha20, and AVX2...

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Security level

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{{cite journal}}: Cite journal requires |journal= (help) "After ECDH with Curve25519, is it pointless to use anything stronger than AES-128?". Cryptography...

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Modular multiplicative inverse

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side-channel attacks. For this reason, the standard implementation of Curve25519 uses this technique to compute an inverse. It is possible to compute the...

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ALTS

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used for key exchange. The elliptic curve used in the key exchange is Curve25519. The handshake protocol consists of four messages, sent in plaintext:...

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Comparison of cryptography libraries

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Implementation NIST SECG ECC Brainpool Curve25519 Curve448 GOST R 34.10 SM2 Botan Yes Yes Yes Yes No Yes Yes Bouncy Castle Yes Yes Yes Yes No Yes No BSAFE...

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ECC patents

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Bernstein has stated that he is "not aware of" patents that cover the Curve25519 elliptic curve Diffie–Hellman algorithm or its implementation. RFC 6090...

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Libgcrypt

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P-384, P-521), SECG (secp256k1), ECC Brainpool / RFC 5639 (P256r1, P384r1, P512r1), Bernstein (Curve25519, Curve448), GOST R 34.10-2012 (RFC 7091), SM2...

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