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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 factorizati ...
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Integrated Encryption Scheme
Integrated Encryption Scheme (IES) is a hybrid encryption scheme which provides semantic security against an adversary who is able to use chosen-plaintext or chosen-ciphertext attacks. The security of the scheme is based on the computational Diffie–Hellman problem. Two variants of IES are specified: Discrete Logarithm Integrated Encryption Scheme (DLIES) and Elliptic Curve Integrated Encryption Scheme (ECIES), which is also known as the Elliptic Curve Augmented Encryption Scheme or simply the Elliptic Curve Encryption Scheme. These two variants are identical up to the change of an underlying group. Informal description of DLIES As a ''brief and informal'' description and overview of how IES works, a Discrete Logarithm Integrated Encryption Scheme (DLIES) is used, focusing on illuminating the reader's understanding, rather than precise technical details. # Alice learns Bob's public key g^x through a public key infrastructure or some other distribution method.Bob knows his own ...
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Institute Of Electrical And Electronics Engineers
The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE has a corporate office in New York City and an operations center in Piscataway, New Jersey. The IEEE was formed in 1963 as an amalgamation of the American Institute of Electrical Engineers and the Institute of Radio Engineers. History The IEEE traces its founding to 1884 and the American Institute of Electrical Engineers. In 1912, the rival Institute of Radio Engineers was formed. Although the AIEE was initially larger, the IRE attracted more students and was larger by the mid-1950s. The AIEE and IRE merged in 1963. The IEEE is headquartered in New York City, but most business is done at the IEEE Operations Center in Piscataway, New Jersey, opened in 1975. The Australian Section of the IEEE existed between 1972 and 1985, after which it split into state- ...
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RSA (algorithm)
The RSA (Rivest–Shamir–Adleman) cryptosystem is a public-key cryptosystem, one of the oldest widely used for secure data transmission. The initialism "RSA" comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977. An equivalent system was developed secretly in 1973 at Government Communications Headquarters (GCHQ), the British signals intelligence agency, by the English mathematician Clifford Cocks. That system was declassified in 1997. In a public-key cryptosystem, the encryption key is public and distinct from the decryption key, which is kept secret (private). An RSA user creates and publishes a public key based on two large prime numbers, along with an auxiliary value. The prime numbers are kept secret. Messages can be encrypted by anyone via the public key, but can only be decrypted by someone who knows the private key. The security of RSA relies on the practical difficulty of factoring the product of two ...
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Post-quantum Cryptography
Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms (usually public-key algorithms) that are currently thought to be secure against a cryptanalytic attack by a quantum computer. Most widely-used public-key algorithms rely on the difficulty of one of three mathematical problems: the integer factorization problem, the discrete logarithm problem or the elliptic-curve discrete logarithm problem. All of these problems could be easily solved on a sufficiently powerful quantum computer running Shor's algorithm or possibly alternatives. As of 2024, quantum computers lack the processing power to break widely used cryptographic algorithms; however, because of the length of time required for migration to quantum-safe cryptography, cryptographers are already designing new algorithms to prepare for Y2Q or Q-Day, the day when current algorithms will be vulnerable to quantum computin ...
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Secure Remote Password Protocol
The Secure Remote Password protocol (SRP) is an augmented password-authenticated key exchange (PAKE) protocol, specifically designed to work around existing patents. Like all PAKE protocols, an eavesdropper or man in the middle cannot obtain enough information to be able to brute-force guess a password or apply a dictionary attack without further interactions with the parties for each guess. Furthermore, being an augmented PAKE protocol, the server does not store password-equivalent data. This means that an attacker who steals the server data cannot masquerade as the client unless they first perform a brute force search for the password. In layman's terms, during SRP (or any other PAKE protocol) authentication, one party (the "client" or "user") demonstrates to another party (the "server") that they know the password, without sending the password itself nor any other information from which the password can be derived. The password never leaves the client and is unknown to the se ...
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SPEKE (cryptography)
Speke () is a suburb of Liverpool, Merseyside, England. It is southeast of the city centre. Located near the widest part of the River Mersey, it is bordered by the suburbs of Garston and Hunts Cross, and nearby to Halewood, Hale Village, and Widnes. The rural area of Oglet borders its south. History The name derives from the Old English ''Spec'', meaning 'brushwood' or from Middle English ''Spek(e)'', meaning 'woodpecker'. It was known as ''Spec'' in the ''Domesday Book'', which gave Speke Hall as one of the properties held by Uctred. Today Speke Hall, now a Tudor wood-framed house, is open to the public. In the mid 14th century, the manors of Speke, Whiston, Skelmersdale, and Parr were held by William Dacre, 2nd Baron Dacre. Speke was formerly a township in the parish of Childwall, in 1866 Speke became a separate civil parish, on 1 April 1932 the parish was abolished and merged with Liverpool. In 1931 the parish had a population of 384. Until the 1930s developmen ...
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Password-authenticated Key Agreement
In cryptography, a password-authenticated key agreement (PAK) method is an interactive method for two or more parties to establish cryptographic keys based on one or more parties' knowledge of a password. An important property is that an eavesdropper or man-in-the-middle cannot obtain enough information to be able to brute-force guess a password without further interactions with the parties for each (few) guesses. This means that strong security can be obtained using weak passwords. Types Password-authenticated key agreement generally encompasses methods such as: * Balanced password-authenticated key exchange * Augmented password-authenticated key exchange * Password-authenticated key retrieval * Multi-server methods * Multi-party methods In the most stringent password-only security models, there is no requirement for the user of the method to remember any secret or public data other than the password. Password-authenticated key exchange (PAKE) is a method in which two or more ...
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NTRUEncrypt
The NTRUEncrypt public key cryptosystem, also known as the NTRU encryption algorithm, is an NTRU lattice-based cryptography, lattice-based alternative to RSA (algorithm), RSA and elliptic curve cryptography (ECC) and is based on the lattice problems, shortest vector problem in a lattice (which is not known to be breakable using quantum computers). It relies on the presumed difficulty of factorization, factoring certain polynomials in a truncated polynomial ring into a quotient of two polynomials having very small coefficients. Breaking the cryptosystem is strongly related, though not equivalent, to the algorithmic problem of lattice reduction in certain lattice (group), lattices. Careful choice of parameters is necessary to thwart some published attacks. Since both encryption and decryption use only simple polynomial multiplication, these operations are very fast compared to other asymmetric encryption schemes, such as RSA, ElGamal encryption, ElGamal and elliptic curve cryptogra ...
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ElGamal Encryption
In cryptography, the ElGamal encryption system is an asymmetric key encryption algorithm for public-key cryptography which is based on the Diffie–Hellman key exchange. It was described by Taher Elgamal in 1985. ElGamal encryption is used in the free GNU Privacy Guard software, recent versions of PGP, and other cryptosystems. The Digital Signature Algorithm (DSA) is a variant of the ElGamal signature scheme, which should not be confused with ElGamal encryption. ElGamal encryption can be defined over any cyclic group G, like multiplicative group of integers modulo ''n'' if and only if ''n'' is 1, 2, 4, ''p''''k'' or 2''p''''k'', where ''p'' is an odd prime and . Its security depends upon the difficulty of the Decisional Diffie Hellman Problem in G. The algorithm The algorithm can be described as first performing a Diffie–Hellman key exchange to establish a shared secret s, then using this as a one-time pad for encrypting the message. ElGamal encryption is performed ...
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RSA-PSS
Probabilistic Signature Scheme (PSS) is a cryptographic signature scheme designed by Mihir Bellare and Phillip Rogaway. RSA-PSS is an adaptation of their work and is standardized as part of PKCS#1 v2.1. In general, RSA-PSS should be used as a replacement for RSA-PKCS#1 v1.5. Design PSS was specifically developed to allow modern methods of security analysis to prove that its security directly relates to that of the RSA problem. There is no such proof for the traditional PKCS#1 v1.5 scheme. Implementations *OpenSSL *wolfSSL wolfSSL is a small, portable, embedded SSL/TLS library targeted for use by embedded systems developers. It is an open source implementation of TLS (SSL 3.0, TLS 1.0, 1.1, 1.2, 1.3, and DTLS 1.0, 1.2, and 1.3) written in the C programming langu ... GnuTLS References {{cite web , url=http://grouper.ieee.org/groups/1363/P1363a/contributions/pss-submission.pdf , title=PSS: Provably Secure Encoding Method for Digital Signatures , first1=Mihir , l ...
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Elliptic Curve DSA
In cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic-curve cryptography. Key and signature sizes As with elliptic-curve cryptography in general, the bit size of the private key believed to be needed for ECDSA is about twice the size of the security level, in bits. For example, at a security level of 80 bits—meaning an attacker requires a maximum of about 2^ operations to find the private key—the size of an ECDSA private key would be 160 bits. On the other hand, the signature size is the same for both DSA and ECDSA: approximately 4 t bits, where t is the exponent in the formula 2^, that is, about 320 bits for a security level of 80 bits, which is equivalent to 2^ operations. Signature generation algorithm Suppose Alice wants to send a signed message to Bob. Initially, they must agree on the curve parameters (\textrm, G, n). In addition to the field and equation of the cu ...
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