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PKCS 1
In cryptography, PKCS #1 is the first of a family of standards called Public-Key Cryptography Standards (PKCS), published by RSA Laboratories. It provides the basic definitions of and recommendations for implementing the RSA algorithm for public-key cryptography. It defines the mathematical properties of public and private keys, primitive operations for encryption and signatures, secure cryptographic schemes, and related ASN.1 syntax representations. The current version is 2.2 (2012-10-27). Compared to 2.1 (2002-06-14), which was republished as RFC 3447, version 2.2 updates the list of allowed hashing algorithms to align them with FIPS 180-4, therefore adding SHA-224, SHA-512/224 and SHA-512/256. Keys The PKCS #1 standard defines the mathematical definitions and properties that RSA public and private keys must have. The traditional key pair is based on a modulus, , that is the product of two distinct large prime numbers, and , such that n = pq. Starting with version 2.1, ...
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Mbed TLS
Mbed TLS (previously PolarSSL) is an implementation of the TLS and SSL protocols and the respective cryptographic algorithms and support code required. It is distributed under the Apache License version 2.0. Stated on the website is that Mbed TLS aims to be "easy to understand, use, integrate and expand". History The PolarSSL SSL library is the official continuation fork of the XySSL SSL library. XySSL was created by the French "white hat hacker" Christophe Devine and was first released on November 1, 2006, under GNU GPL v2 and BSD licenses. In 2008, Christophe Devine was no longer able to support XySSL and allowed Paul Bakker to create the official fork, named PolarSSL. In November 2014, PolarSSL was acquired by ARM Holdings. In 2011, the Dutch government approved an integration between OpenVPN and PolarSSL, which is named OpenVPN-NL. This version of OpenVPN has been approved for use in protecting government communications up to the level of Restricted. As of the release o ...
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Probabilistic Signature Scheme
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 lan ... 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 , la ...
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Cryptography
Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or ''-logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adversarial behavior. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security ( data confidentiality, data integrity, authentication, and non-repudiation) are also central to cryptography. Practical applications of cryptography include electronic commerce, chip-based payment cards, digital currencies, computer passwords, and military communications. Cryptography prior to the modern age was effectively synonymo ...
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Crypto++
Crypto++ (also known as CryptoPP, libcrypto++, and libcryptopp) is a free and open-source C++ class library of cryptographic algorithms and schemes written by Wei Dai. Crypto++ has been widely used in academia, student projects, open-source, and non-commercial projects, as well as businesses.* J. Kelsey, B. Schneier, D. Wagner, C. Hall (1998)"Cryptanalytic Attacks on Pseudorandom Number Generators". ''Fast Software Encryption, 5th International Proceedings''http://www.schneier.com/paper-prngs.pdf. Retrieved 2010-08-10. * C. Adjih, D. Raffo, P. Mühlethaler (2004)"OLSR: Distributed Key Management for Security". ''Independent Research''http://www2.lifl.fr/SERAC/downloads/attacks-olsr-dkm.pdf. Retrieved 2010-08-10. * X. Yinglian, M. K. Reiter, D. O'Hallaron (2006)"Protecting Privacy in Key-Value Search Systems" ''Computer Security Applications Conference (ACSAC)''https://www.cs.cmu.edu/~ylxie/papers/report03.pdf Retrieved 2010-08-10. * T. Zidenberg (2010). ''Technion, Israel Institute o ...
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Cryptography Standards
There are a number of standards related to cryptography. Standard algorithms and protocols provide a focus for study; standards for popular applications attract a large amount of cryptanalysis. Encryption standards * Data Encryption Standard (DES, now obsolete) * Advanced Encryption Standard (AES) * RSA the original public key algorithm * OpenPGP Hash standards * MD5 128-bit (obsolete) * SHA-1 160-bit (obsolete) * SHA-2 available in 224, 256, 384, and 512-bit variants * HMAC keyed hash * PBKDF2 Key derivation function (RFC 2898) Digital signature standards * Digital Signature Standard (DSS), based on the Digital Signature Algorithm (DSA) * RSA * Elliptic Curve DSA Public-key infrastructure (PKI) standards * X.509 Public Key Certificates Wireless Standards * Wired Equivalent Privacy (WEP), severely flawed and superseded by WPA * Wi-Fi Protected Access (WPA) better than WEP, a 'pre-standard' partial version of 802.11i * 802.11i a.k.a. WPA2, uses AES and other improvements ...
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Comparison Of Cryptography Libraries
The tables below compare cryptography libraries that deal with cryptography algorithms and have API function calls to each of the supported features. Cryptography libraries FIPS 140 This table denotes, if a cryptography library provides the technical requisites for FIPS 140, and the status of their FIPS 140 certification (according to NIST'CMVP searchmodules in process list
an
implementation under test list
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Key operations

Key operations include key generation algorithms, key exchange agreements and public key cryptography standards.



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IEEE
The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operations center in Piscataway, New Jersey. The mission of the IEEE is ''advancing technology for the benefit of humanity''. The IEEE was formed from the amalgamation of the American Institute of Electrical Engineers and the Institute of Radio Engineers in 1963. Due to its expansion of scope into so many related fields, it is simply referred to by the letters I-E-E-E (pronounced I-triple-E), except on legal business documents. , it is the world's largest association of technical professionals with more than 423,000 members in over 160 countries around the world. Its objectives are the educational and technical advancement of electrical and electronic engineering, telecommunications, computer engineering and similar disciplines. History Origin ...
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INRIA
The National Institute for Research in Digital Science and Technology (Inria) () is a French national research institution focusing on computer science and applied mathematics. It was created under the name ''Institut de recherche en informatique et en automatique'' (IRIA) in 1967 at Rocquencourt near Paris, part of Plan Calcul. Its first site was the historical premises of SHAPE (central command of NATO military forces), which is still used as Inria's main headquarters. In 1980, IRIA became INRIA. Since 2011, it has been styled ''Inria''. Inria is a Public Scientific and Technical Research Establishment (EPST) under the double supervision of the French Ministry of National Education, Advanced Instruction and Research and the Ministry of Economy, Finance and Industry. Administrative status Inria has 9 research centers distributed across France (in Bordeaux, Grenoble-Inovallée, Lille, Lyon, Nancy, Paris- Rocquencourt, Rennes, Saclay, and Sophia Antipolis) and one center ab ...
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Adaptive Chosen-ciphertext Attack
An adaptive chosen-ciphertext attack (abbreviated as CCA2) is an interactive form of chosen-ciphertext attack in which an attacker first sends a number of ciphertexts to be decrypted chosen adaptively, and then uses the results to distinguish a target ciphertext without consulting the oracle on the challenge ciphertext. In an adaptive attack, the attacker is further allowed adaptive queries to be asked after the target is revealed (but the target query is disallowed). It is extending the indifferent (non-adaptive) chosen-ciphertext attack (CCA1) where the second stage of adaptive queries is not allowed. Charles Rackoff and Dan Simon defined CCA2 and suggested a system building on the non-adaptive CCA1 definition and system of Moni Naor and Moti Yung (which was the first treatment of chosen ciphertext attack immunity of public key systems). In certain practical settings, the goal of this attack is to gradually reveal information about an encrypted message, or about the decryption ...
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Daniel Bleichenbacher
Daniel Bleichenbacher (born 1964) is a Swiss cryptographer, previously a researcher at Bell Labs, and currently employed at Google. He received his Ph.D. from ETH Zurich in 1996 for contributions to computational number theory, particularly concerning message verification in the ElGamal and RSA public-key cryptosystems. His doctoral advisor was Ueli Maurer. RSA Attacks Bleichenbacher is particularly notable for devising attacks against the RSA public-key cryptosystem, namely when used with the PKCS#1 v1 standard published by RSA Laboratories. These attacks were able to break both RSA encryption and signatures produced using the PKCS #1 standard. BB'98 attack: chosen ciphertext attack against the RSA PKCS#1 encryption standard In 1998, Daniel Bleichenbacher demonstrated a practical attack against systems using RSA encryption in concert with the PKCS #1 encoding function, including a version of the Secure Sockets Layer (SSL) protocol used by thousands of web servers at t ...
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David Naccache
David Naccache is a cryptographer, currently a professor at the École normale supérieure and a member of its Computer Laboratory. He was previously a professor at Panthéon-Assas University. Biography He received his Ph.D. in 1995 from the École nationale supérieure des télécommunications. Naccache's most notable work is in public-key cryptography, including the cryptanalysis of digital signature schemes. Together with Jacques Stern he designed the similarly named but very distinct Naccache-Stern cryptosystem and Naccache-Stern knapsack cryptosystem. In 2004 David Naccache and Claire Whelan, then employed by Gemplus International, used image processing techniques to uncover redacted information from the declassified 6 August 2001 President's Daily Brief '' Bin Ladin Determined To Strike in US''. They also demonstrated how the same process could be applied to other redacted documents. Naccache is also a visiting professor and researcher at the Information Security ...
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