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PKCS1
In cryptography, PKCS #1 is the first of a family of standards called PKCS, Public-Key Cryptography Standards (PKCS), published by RSA Laboratories. It provides the basic definitions of and recommendations for implementing the RSA (cryptosystem), 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 Abstract Syntax Notation One, 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, ...
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RSA (cryptosystem)
RSA (Rivest–Shamir–Adleman) is a public-key cryptography, public-key cryptosystem that is widely used for secure data transmission. It is also one of the oldest. The acronym "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 classified information, 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 decoded by someone who knows the prime numbers. The security of RSA relies on the pract ...
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Public-key Cryptography
Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. Key pairs are generated with cryptographic algorithms based on mathematical problems termed one-way functions. Security of public-key cryptography depends on keeping the private key secret; the public key can be openly distributed without compromising security. In a public-key encryption system, anyone with a public key can encrypt a message, yielding a ciphertext, but only those who know the corresponding private key can decrypt the ciphertext to obtain the original message. For example, a journalist can publish the public key of an encryption key pair on a web site so that sources can send secret messages to the news organization in ciphertext. Only the journalist who knows the corresponding private key can decrypt the ciphertexts to obtain the sources' messages—an eavesdropp ...
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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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OpenSSL
OpenSSL is a software library for applications that provide secure communications over computer networks against eavesdropping or need to identify the party at the other end. It is widely used by Internet servers, including the majority of HTTPS websites. OpenSSL contains an open-source implementation of the SSL and TLS protocols. The core library, written in the C programming language, implements basic cryptographic functions and provides various utility functions. Wrappers allowing the use of the OpenSSL library in a variety of computer languages are available. The OpenSSL Software Foundation (OSF) represents the OpenSSL project in most legal capacities including contributor license agreements, managing donations, and so on. OpenSSL Software Services (OSS) also represents the OpenSSL project for support contracts. OpenSSL is available for most Unix-like operating systems (including Linux, macOS, and BSD), Microsoft Windows and OpenVMS. Project history The OpenSSL ...
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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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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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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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WolfCrypt
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 language. It includes SSL/TLS client libraries and an SSL/TLS server implementation as well as support for multiple APIs, including those defined by SSL and TLS. wolfSSL also includes an OpenSSL compatibility interface with the most commonly used OpenSSL functions. A predecessor of wolfSSL, yaSSL is a C++ based SSL library for embedded environments and real time operating systems with constrained resources. Platforms wolfSSL is currently available for Win32/64, Linux, macOS, Solaris, Threadx, VxWorks, FreeBSD, NetBSD, OpenBSD, embedded Linux, Yocto Project, OpenEmbedded, WinCE, Haiku, OpenWrt, iPhone, Android, Nintendo Wii and Gamecube through DevKitPro support, QNX, MontaVista, Tron variants, NonStop OS, OpenCL, Micrium's MicroC/OS-II, ...
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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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Nettle (cryptographic Library)
Nettle is a cryptographic library designed to fit easily in a wide range of toolkits and applications. It began as a collection of low-level cryptography functions from lsh in 2001. Since June 2009 (version 2.0) Nettle is a GNU package. Features Since version 3, nettle provides the AES block cipher (a subset of Rijndael) (with assembly optimizations for x86 and sparc), the ARCFOUR (also known as RC4) stream cipher (with x86 and sparc assembly), the ARCTWO (also known as RC2) stream cipher, BLOWFISH, CAMELLIA (with x86 and x86_64 assembly optimizations), CAST-128, DES and 3DES block ciphers, the ChaCha stream cipher (with assembly for x86_64), GOSTHASH94, the MD2, MD4, and MD5 (with x86 assembly) digests, the PBKDF2 key derivation function, the POLY1305 (with assembly for x86_64) and UMAC message authentication codes, RIPEMD160, the Salsa20 stream cipher (with assembly for x86_64 and ARM), the SERPENT block cipher (with assembly for x86_64), SHA-1 (with x86, x86_64 and ...
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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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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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