Menezes–Qu–Vanstone
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Menezes–Qu–Vanstone
MQV (Menezes–Qu–Vanstone) is an authenticated protocol for key agreement based on the Diffie–Hellman scheme. Like other authenticated Diffie–Hellman schemes, MQV provides protection against an active attacker. The protocol can be modified to work in an arbitrary finite group, and, in particular, elliptic curve groups, where it is known as elliptic curve MQV (ECMQV). MQV was initially proposed by Alfred Menezes, Minghua Qu and Scott Vanstone in 1995. It was later modified in joint work with Laurie Law and Jerry Solinas. There are one-, two- and three-pass variants. MQV is incorporated in the public-key standard IEEE P1363 and NIST's SP800-56A standard. Some variants of MQV are claimed in patents assigned to Certicom. ECMQV has been dropped from the National Security Agency's Suite B set of cryptographic standards. __TOC__ Description Alice has a key pair (A,a) with A her public key and a her private key and Bob has the key pair (B,b) with B his public key and b his ...
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IEEE P1363
IEEE P1363 is an Institute of Electrical and Electronics Engineers (IEEE) standardization project for public-key cryptography. It includes specifications for: * Traditional public-key cryptography (IEEE Std 1363-2000 and 1363a-2004) * Lattice-based public-key cryptography (IEEE Std 1363.1-2008) * Password-based public-key cryptography (IEEE Std 1363.2-2008) * Identity-based public-key cryptography using pairings (IEEE Std 1363.3-2013) The chair of the working group as of October 2008 is William Whyte of NTRU Cryptosystems, Inc., who has served since August 2001. Former chairs were Ari Singer, also of NTRU (1999–2001), and Burt Kaliski of RSA Security (1994–1999). The IEEE Standard Association withdrew all of the 1363 standards except 1363.3-2013 on 7 November 2019. Traditional public-key cryptography (IEEE Std 1363-2000 and 1363a-2004) This specification includes key agreement, signature, and encryption schemes using several mathematical approaches: integer factorizatio ...
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Elliptic Curve Cryptography
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security.Commercial National Security Algorithm Suite and Quantum Computing FAQ
U.S. National Security Agency, January 2016.
Elliptic curves are applicable for , s,
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Certicom
BlackBerry Limited is a Canadian software company specializing in cybersecurity. Founded in 1984, it was originally known as Research In Motion (RIM). As RIM, it developed the BlackBerry brand of interactive pagers, smartphones, and tablets. It transitioned to a cybersecurity enterprise software and services company under Chief Executive Officer John S. Chen. Its products are used by various businesses, car manufacturers, and government agencies to prevent hacking and ransomware attacks. They include BlackBerry Cylance's artificial intelligence based cyber-security solutions, the BlackBerry AtHoc emergency communication system (ECS) platform; the QNX real-time operating system; and BlackBerry Enterprise Server (BlackBerry Unified Endpoint Manager), a Unified Endpoint Management (UEM) platform. BlackBerry was founded in 1984 as Research In Motion by Mike Lazaridis and Douglas Fregin. In 1992, Lazaridis hired Jim Balsillie, and Lazaridis and Balsillie served as co-CEOs until ...
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Springer Science+Business Media
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology
". Springer Science+Business Media.
In 1964, Springer expanded its business internationally, o ...
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Lecture Notes In Computer Science
''Lecture Notes in Computer Science'' is a series of computer science books published by Springer Science+Business Media since 1973. Overview The series contains proceedings, post-proceedings, monographs, and Festschrifts. In addition, tutorials, state-of-the-art surveys, and "hot topics" are increasingly being included. The series is indexed by DBLP. See also *''Monographiae Biologicae'', another monograph series published by Springer Science+Business Media *''Lecture Notes in Physics'' *''Lecture Notes in Mathematics'' *''Electronic Workshops in Computing ''Electronic Workshops in Computing'' (eWiC) is a publication series by the British Computer Society. The series provides free online access for conferences and workshops in the area of computing. For example, the EVA London Conference proceeding ...'', published by the British Computer Society References External links * Publications established in 1973 Computer science books Series of non-fiction books Springer ...
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Symmetric-key Algorithm
Symmetric-key algorithms are algorithms for cryptography that use the same cryptographic keys for both the encryption of plaintext and the decryption of ciphertext. The keys may be identical, or there may be a simple transformation to go between the two keys. The keys, in practice, represent a shared secret between two or more parties that can be used to maintain a private information link. The 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). However, symmetric-key encryption algorithms are usually better for bulk encryption. They have a smaller key size, which means less storage space and faster transmission. Due to this, asymmetric-key encryption is often used to exchange the secret key for symmetric-key encryption. Types Symmetric-key encryption can use either stream ciphers or block ciphers. * Stream ciphers encrypt the digits ...
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Domain Parameters
Domain may refer to: Mathematics *Domain of a function, the set of input values for which the (total) function is defined **Domain of definition of a partial function ** Natural domain of a partial function **Domain of holomorphy of a function *Domain (mathematical analysis), an open connected set *Domain of discourse, the set of entities over which logic variables may range * Domain of an algebraic structure, the set on which the algebraic structure is defined * Domain theory, the study of certain subsets of continuous lattices that provided the first denotational semantics of the lambda calculus * Domain (ring theory), a nontrivial ring without left or right zero divisors ** Integral domain, a non-trivial commutative ring without zero divisors ***Atomic domain, an integral domain in which every non-zero non-unit is a finite product of irreducible elements *** Bézout domain, an integral domain in which the sum of two principal ideals is again a principal ideal ***Euclidean domain, ...
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NSA Suite B
NSA Suite B Cryptography was a set of cryptographic algorithms promulgated by the National Security Agency as part of its Cryptographic Modernization Program. It was to serve as an interoperable cryptographic base for both unclassified information and most classified information. Suite B was announced on 16 February 2005. A corresponding set of unpublished algorithms, Suite A, is "used in applications where Suite B may not be appropriate. Both Suite A and Suite B can be used to protect foreign releasable information, US-Only information, and Sensitive Compartmented Information (SCI)." In 2018, NSA replaced Suite B with the Commercial National Security Algorithm Suite (CNSA). Suite B's components were: * Advanced Encryption Standard (AES) with key sizes of 128 and 256 bits. For traffic flow, AES should be used with either the Counter Mode (CTR) for low bandwidth traffic or the Galois/Counter Mode (GCM) mode of operation for high bandwidth traffic (see Block cipher modes of ope ...
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Authentication
Authentication (from ''authentikos'', "real, genuine", from αὐθέντης ''authentes'', "author") is the act of proving an assertion, such as the identity of a computer system user. In contrast with identification, the act of indicating a person or thing's identity, authentication is the process of verifying that identity. It might involve validating personal identity documents, verifying the authenticity of a website with a digital certificate, determining the age of an artifact by carbon dating, or ensuring that a product or document is not counterfeit. Methods Authentication is relevant to multiple fields. In art, antiques, and anthropology, a common problem is verifying that a given artifact was produced by a certain person or in a certain place or period of history. In computer science, verifying a user's identity is often required to allow access to confidential data or systems. Authentication can be considered to be of three types: The first type of au ...
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Protocol (cryptography)
A security protocol (cryptographic protocol or encryption protocol) is an abstract or concrete protocol that performs a security-related function and applies cryptographic methods, often as sequences of cryptographic primitives. A protocol describes how the algorithms should be used and includes details about data structures and representations, at which point it can be used to implement multiple, interoperable versions of a program. Cryptographic protocols are widely used for secure application-level data transport. A cryptographic protocol usually incorporates at least some of these aspects: * Key agreement or establishment * Entity authentication * Symmetric encryption and message authentication material construction * Secured application-level data transport * Non-repudiation methods * Secret sharing methods * Secure multi-party computation For example, Transport Layer Security (TLS) is a cryptographic protocol that is used to secure web (HTTPS) connections. It has an entit ...
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Scott Vanstone
Scott A. Vanstone was a mathematician and cryptographer in the University of Waterloo Faculty of Mathematics. He was a member of the school's Centre for Applied Cryptographic Research, and was also a founder of the cybersecurity company Certicom. He received his PhD in 1974 at the University of Waterloo, and for about a decade worked principally in combinatorial design theory, finite geometry, and finite fields. In the 1980s he started working in cryptography. An early result of Vanstone (joint with Ian Blake, R. Fuji-Hara, and Ron Mullin) was an improved algorithm for computing discrete logarithms in binary fields, which inspired Don Coppersmith to develop his famous exp(n^) algorithm (where n is the degree of the field). Vanstone was one of the first to see the commercial potential of Elliptic Curve Cryptography (ECC), and much of his subsequent work was devoted to developing ECC algorithms, protocols, and standards. In 1985 he co-founded Certicom, which later became the chi ...
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