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Topic: Elliptic Curve Diffie-Hellman

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draft-ietf-mobileip-regkey-03.txt Diffie-Hellman Key Exchange in Elliptic Curve Groups In order to multiply a generating point (X,Y) by a large number N, it is necessary to add the point to itself N times. Security Considerations Whenever a key is exchanged by use of the Diffie-Hellman algorithm, the process is susceptible to the "man-in-the-middle" attack, as detailed in Appendix A. This attack is not known to produce further difficulty, and susceptibility is already inherent in the operation of the base Mobile IP specification [11]. If p is the value of the prime used for this Diffie-Hellman exchange, the generator should be less than p, and should be a primitive root [14] of p. www.ietf.org /proceedings/00dec/I-D/draft-ietf-mobileip-regkey-03.txt   (8749 words)

Cryptology ePrint Archive Then we derive a practical elliptic curve cryptosystem by making use of some nice elliptic curve where the decisional Diffie-Hellman assumption is reserved. We study elliptic curve cryptosystems by first investigating the schemes defined over $Z_p$ and show that the scheme is provably secure against adaptive chosen cipher-text attack under the decisional Diffie-Hellman assumption. Contact author: huafei at i2r a-star edu sg eprint.iacr.org /2003/087   (8749 words)

Remarks on the Security of the Elliptic Curve Cryptosystem : Learn about: Data Security, Public Key Encryption Elliptic curve discrete logarithm problem (ECDLP): the elliptic curve analog of the DSA (ECDSA), and the elliptic curve analogs of the Diffie-Hellman key agreement scheme, the ElGamal encryption and signature schemes, the Schnorr signature scheme, and the Nyberg-Rueppel signature scheme. Discrete logarithm problem (DLP): the U.S. government's Digital Signature Algorithm (DSA), the Diffie-Hellman key agreement scheme, the ElGamal encryption and signature schemes, the Schnorr signature scheme, and the Nyberg-Rueppel signature scheme. Examples of such systems and the mathematical problems on which their security is based, are: 1. www.test.bitpipe.com /detail/RES/976119961_556.html   (255 words)

ISC - CDK Diffie-Hellman (DH) and Elliptic Curve Diffie-Hellman (ECDH) Key Agreement pseudo-random number generation, primality testing, and routines for low-level modular exponentiation and other high-precision arithmetic operations (in rings of integers, finite fields, and elliptic curves) ElGamal, and elliptic curve ElGamal, public key cryptosystems www.infoseccorp.com /products/cdk/contents.htm   (667 words)

PlanetMath: Diffie-Hellman key exchange The Diffie-Hellman key exchange is a cryptographic protocol for symmetric key exchange. This is version 3 of Diffie-Hellman key exchange, born on 2003-07-17, modified 2005-03-18. Thus, the security of the exchange depends on the hardness of that problem, known as the elliptic curve discrete logarithm problem. planetmath.org /encyclopedia/DiffieHellmanKeyExchange.html   (228 words)

RFC 3278 (rfc3278) - Use of Elliptic Curve Cryptography (ECC) Algorithms i Ephemeral-static ECDH is the the elliptic curve analog of the ephemeral-static Diffie-Hellman key agreement algorithm specified jointly in the documents [CMS, Section 12.3.1.1] and [CMS-DH]. The method is the elliptic curve analog of the Digital Signature Algorithm (DSA) [FIPS 186-2]. RFC 3278 - Use of Elliptic Curve Cryptography (ECC) Algorithms in Cryptographic Message Syntax (CMS) www.faqs.org /rfcs/rfc3278.html   (228 words)

Next Generation Crypto Elliptic Curve Diffie-Hellman Key Exchange for the SSH Transport Level Protocol, IETF Internet-draft draft-stebila-secsh-ecdh-00.txt specifying the use of Elliptic Curve Cryptography with SSH, Nov. Elliptic Curve Cryptography (ECC) is emerging as an attractive public-key cryptosystem for mobile/wireless environments. Elliptic Curve Cryptography: The Next Generation of Internet Security, a white paper describing how Elliptic Curve Cryptography is an ideal match for the Internet's future security needs. research.sun.com /projects/crypto   (228 words)

RFC 3278 (rfc3278) - Use of Elliptic Curve Cryptography (ECC) Algorithms i Ephemeral-static ECDH is the the elliptic curve analog of the ephemeral-static Diffie-Hellman key agreement algorithm specified jointly in the documents [CMS, Section 12.3.1.1] and [CMS-DH]. The method is the elliptic curve analog of the Digital Signature Algorithm (DSA) [FIPS 186-2]. This specification defines a profile for the use of Elliptic Curve Cryptography (ECC) public key algorithms in the CMS. www.faqs.org /rfcs/rfc3278.html   (3021 words)

The Case for Elliptic Curve Cryptography Elliptic curve cryptosystems also are more computationally efficient than the first generation public key systems, RSA and Diffie-Hellman. In the elliptic curve case, there is actually one additional bit that needs to be transmitted in each direction which allows the recovery of both the x and y coordinates of an elliptic curve point. Despite the many advantages of elliptic curves and despite the adoption of elliptic curves by many users, many vendors and academics view the intellectual property environment surrounding elliptic curves as a major roadblock to their implementation and use. www.nsa.gov /ia/industry/crypto_elliptic_curve.cfm?MenuID=10.2.7   (1818 words)

Next Generation Crypto Elliptic Curve Diffie-Hellman Key Exchange for the SSH Transport Level Protocol, IETF Internet-draft draft-stebila-secsh-ecdh-00.txt specifying the use of Elliptic Curve Cryptography with SSH, Nov. Elliptic Curve Cryptography (ECC) is emerging as an attractive public-key cryptosystem for mobile/wireless environments. Elliptic Curve Cryptography: The Next Generation of Internet Security, a white paper describing how Elliptic Curve Cryptography is an ideal match for the Internet's future security needs. research.sun.com /projects/crypto   (1016 words)

RFC 3278 (rfc3278) - Use of Elliptic Curve Cryptography (ECC) Algorithms i Ephemeral-static ECDH is the the elliptic curve analog of the ephemeral-static Diffie-Hellman key agreement algorithm specified jointly in the documents [CMS, Section 12.3.1.1] and [CMS-DH]. RFC 3278 - Use of Elliptic Curve Cryptography (ECC) Algorithms in Cryptographic Message Syntax (CMS) The receiving agent then retrieves the static and ephemeral EC public keys of the originator, from the originator and ukm fields as described in Section 3.2.1, and its static EC public key identified in the rid field and checks that the domain parameters are the same. www.faqs.org /rfcs/rfc3278.html   (3021 words)

CRYPTOGRAPHY Winter 2004 Public-key encryption and key establishment: RSA, discrete logarithm systems, Diffie-Hellman, elliptic curve systems. Elliptic Curve DSA by Don Johnson, Alfred Menezes, and Scott Vanstone There will be weekly assignments--a combination of problems that require written solutions and programming projects. www.cse.ogi.edu /class/cse528   (227 words)

Diffie-Hellman Key Exchange Parameters The slides from the presentation show the assumptions underlying the graph and how the parameters are used in Diffie-Hellman key exchange algorithms. There is also a tech report on elliptic curve groups and D-H. A postscript graph of time to compute keys of various strengths with respect to the size of the group used for the representation. www.cs.arizona.edu /security/ipsec/ua-dec95.html   (83 words)

IEEE P1363: Key agreement and key transport Our AK (Key Agreement) protocol saves some of computational cost, since it requires only two dominant computation factors (e.g., modulo exponentiation in RSA type system or integer multiplication with a point in elliptic curve cryptosystem) for each entity. In this paper we propose a new and efficient protocol for authenticated key agreement based on Diffie-Hellman key agreement, which works in an arbitrary finite group. A two-party authenticated Diffie-Hellman key agreement protocol is proposed. grouper.ieee.org /groups/1363/P1363a/KeyEstab.html   (83 words)

TmpKeyStore.h * * Description: * An Elliptic Curve Diffie-Hellman key. * * Description: * An Elliptic Curve DSA key. www.betrusted.com /downloads/products/keytools/v50/ssl/c-docs/refguide/KeyTools_SSL/TmpKeyStore.h   (932 words)

Cryptography Decrypted Appendix A describes some aspects of public key mathematics, including inverses, primes, the Fermat test, Diffie-Hellman, DSA, elliptic curve, and pseudo-random number generation. If the esoteric details aren't of immediate concern to you, you can skip Chapter 11 (Making Public Keys: Math Tricks), Chapter 14 (Message Digest Assurances), and the appendixes without diminishing your understanding of the basic concepts. www.booksmatter.com /b0201616475.htm   (1464 words)

Elliptic Curve Cryptography according to Steven Galbraith We then give a method to transform this adversary into another algorithm which can solve the underlying mathematical problem (e.g., the elliptic curve Diffie-Hellman problem or whatever). Then the only algorithms which are applicable for all elliptic curves are the methods of Shanks and Pollard, and these methods have exponential complexity. Igor Semaev proposed the use of summation polynomials for an index calculus algorithm for elliptic curves. www.isg.rhul.ac.uk /~sdg/ecc.html   (1464 words)

2nd workshop on Elliptic Curve Cryptography Related topics that will be covered include the discrete logarithm and Diffie-Hellman problems, and hyperelliptic curve cryptosystems. It is hoped that the meeting will encourage and stimulate further research on the security and implementation of elliptic curve cryptosystems and related areas, and encourage collaboration between academic, industry, and government sectors. There will be approximately 15 invited lectures (and no contributed talks), with the remaining time used for informal discussions. www.cs.utah.edu /flux/cipher/cfps/1998/cfp-ECC98.html   (129 words)

draft-ietf-tls-ecc-00.txt The document defines cipher suites which use the Elliptic Curve Encryption Scheme (ECES), the Elliptic Curve Digital Signature Algorithm (ECDSA), the Elliptic Curve Nyberg-Rueppel Signature Scheme with Appendix (ECNRA), the Elliptic Curve Diffie-Hellman Key Agreement (ECDH), and the Elliptic Curve Menezes-Qu-Vanstone Key Agreement (ECMQV) key establishment algorithms. This may be a key which is specifically indicated as being useful for a particular algorithm or a general-purpose elliptic curve key which is allowed to perform a particular operation. If client certification is not requested or if the client does not have a certificate with a suitable ECMQV public key, the client should generate two temporary key pairs on the same curve as the Dierks [Page 8] INTERNET-DRAFT ECC Cipher Suites For TLS March 13, 1998 server's public key. www.ietf.org /proceedings/99mar/I-D/draft-ietf-tls-ecc-00.txt   (129 words)

Doro Security Products -Other algorithms: RSA (encrypt/decrypt), MD2, MD5, HMAC, DESX, RC2, RC4, Elliptic Curve (F2&Fp), Elliptic Curve Encryption Scheme, Elliptic Curve DSA, and Bloom-Shamir. -Other algorithms: RSA; MD4; MD5; Diffie-Hellman key agreement. -Other algorithms: RC5; MD2; MD5; HMAC-SHA-1; HMAC-MD5; RIPEMD-128; RIPEMD-160; RSA; Diffie-Hellman key agreement. www.dorosecurity.com /val2000.html   (3067 words)

Handling Public and Private Keys Using ECDSA keys (both based on the same underlying elliptic curve!) yields Elliptic Curve Diffie-Hellman in the common elliptic curve group. For ECDSA keys, you must specify an algorithm identifier (containing specifications for the elliptic curve parameters). The recommended approach to loading an ECDSA public key is to ASN.1 encode the raw key and call the load method for ASN.1 encoded keys. www.infoseccorp.com /products/cdk/html/pgUsingPubPrvKeys.html   (2997 words)

keyxcmts.txt The competitors to RSA are systems based on the discrete logarithm problem, such as DSA, Diffie-Hellman, and the elliptic curve variants of DSA and Diffie-Hellman. While it is true that some digital signature primitives alone may provide encryption capability (including DSA variants and their elliptic curve analogues as well as RSA), any such primitive can be combined with a hash function to eliminate unintended use as an encryption function. Regarding the issue of encryption capability mentioned in the request for comments: > Any algorithms proposed for digital signature must be able > to be implemented such that they do not support encryption unless keys > used for encryption are distinct from those used for signature and are > recoverable. csrc.nist.gov /encryption/kms/keyxcmts.txt   (2997 words)

Kryptographie FAQ: Frage 167:What is IEEE P1363? The scope of the standards includes encryption algorithms such as RSA, Diffie-Hellman, ElGamal ( see Question 29), and elliptic curve cryptosystems ( see Question 31), as well as random number generation and hardware support. P1363 is the IEEE working group that is developing standards for public-key cryptography based on RSA( see Question 8), Diffie-Hellman( see Question 24), and related algorithms. A first version of the standard covers elliptic curve cryptosystems and is nearly complete. www.iks-jena.de /mitarb/lutz/security/cryptfaq/q167.html   (2997 words)

Code and Cipher volume 1, issue 2  This article uses illustrated examples to  compare the performance of two schemes for key agreement: Elliptic Curve Diffie-Hellman (ECDH) and Elliptic Curve Menezes-Qu-Vanstone (ECMQV). In this column, Scott looks at different key establishment schemes and discusses how  MQV addresses the weaknesses found in Diffie-Hellman key agreement. When a number of people use the same system to exchange information, the distribution effort for shared keying grows quadratically. www.certicom.com /index.php?action=res,cc_1_2&article=5-vanstone   (2997 words)

MQV - the free encyclopedia The protocol can be modified to work in an arbitraryfinite group, and, in particular, elliptic curve groups, where it is known as elliptic curve MQV (ECMQV). MQV (Menezes-Qu-Vanstone) is an authenticated protocol for key agreement based on the Diffie-Hellman scheme.Unlike Diffie-Hellman, MQV provides protection against an active attacker. Peter J. Leadbitter, Nigel P. Smart: Analysis of the Insecurity of ECMQV with Partially Known Nonces. www.world-knowledge-encyclopedia.com /?t=MQV   (2997 words)

Nsa Proaxiom writes "This week the NSA announced the new US government standard for key agreement and digital signatures, called Suite B. Suite B uses Elliptic Curve Diffie-Hellman (ECDH) and Elliptic Curve Menezes-Qu-Vanstone (ECMQV) for key agreement, and Elliptic Curve Digital Signature Algorithm (ECDSA) for signature generation/verification. NSA Announces New Crypto Standards Posted by Zonk on Sunday March 06, @05:53PM from the less-tasty-crackers dept. Proaxiom writes 'This week the NSA announced the new US government standard for key agreement and digital signatures, called Suite B. The Art Of Approaching The Observer publishes what it claims is a leaked memo dated January 31, 2003 ordering members of the NSA to spy on UN Security Council members, focussing especially on members from Angola, Cameroon, Chile, Mexico, Guinea, and 1000 Pakistan to try to determine how they will vote. bonose.com /Nsa-12.html   (2997 words)

NSA Announces New Crypto Standards This week the NSA announced the new US government standard for key agreement and digital signatures, called Suite B. Suite B uses Elliptic Curve Diffie-Hellman (ECDH) and Elliptic Curve Menezes-Qu-Vanstone (ECMQV) for key agreement, and Elliptic Curve Digital Signature Algorithm (ECDSA) for signature generation/verification. home » security » NSA Announces New Crypto Standards www.digg.com /security/NSA_Announces_New_Crypto_Standards   (2997 words)

Embedded.com - NSA specifies elliptic-curve crypto for security applications Suite B includes Elliptic-Curve Menezes-Qu-Vanstone and Elliptic-Curve Diffie-Hellman for key agreement, along with the Elliptic Curve Digital Signature Algorithm for digital signatures. NSA (Fort Meade, Md.) is recommending a series of algorithms called "Suite B" for securing sensitive and unclassified data. In the mid-1990s, NSA in effect threw in the towel, maintaining a hands-off approach to the development of the Advanced Encryption Standard while acknowledging that widespread use of public-key cryptosystems would be acceptable. www.embedded.com /showArticle.jhtml?articleID=60404977   (2997 words)

UW School of Computer Science News Suite B includes the public key protocols Elliptic Curve Menezes-Qu-Vanstone (ECMQV) and Elliptic Curve Diffie-Hellman (ECDH) for key agreement and Elliptic Curve Digital Signature Algorithm ( ECDSA) for authentication. The National Security Agency (NSA) recently recommended a set of advanced cryptography algorithms known as Suite B for securing sensitive and unclassified data. The development and commercialization of ECC was pioneered by the Canadian company Certicom, which was co-founded by Prof. www.cs.uwaterloo.ca /publicity/news   (2997 words)

Cryptology ePrint Archive It was suggested and proven by Yoshida that under certain conditions the vector decomposition problem (VDP) on a two-dimensional vector space is at least as hard as the computational Diffie-Hellman problem (CDHP) on a one-dimensional subspace. In this work we show that even though this assessment is true, it applies to the VDP for m-torsion points on an elliptic curve only if the curve is supersingular. The group of m-torsion points on an elliptic curve, for a prime number m, forms a two-dimensional vector space. eprint.iacr.org /2005/031   (2997 words)

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