Interpolation Attack
   HOME
*





Interpolation Attack
In cryptography, an interpolation attack is a type of cryptanalytic attack against block ciphers. After the two attacks, differential cryptanalysis and linear cryptanalysis, were presented on block ciphers, some new block ciphers were introduced, which were proven secure against differential and linear attacks. Among these there were some iterated block ciphers such as the KN-Cipher and the SHARK cipher. However, Thomas Jakobsen and Lars Knudsen showed in the late 1990s that these ciphers were easy to break by introducing a new attack called the interpolation attack. In the attack, an algebraic function is used to represent an S-box. This may be a simple quadratic, or a polynomial or rational function over a Galois field. Its coefficients can be determined by standard Lagrange interpolation techniques, using known plaintexts as data points. Alternatively, chosen plaintexts can be used to simplify the equations and optimize the attack. In its simplest version an interpolati ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

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 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Lagrange Polynomial
In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a data set of coordinate pairs (x_j, y_j) with 0 \leq j \leq k, the x_j are called ''nodes'' and the y_j are called ''values''. The Lagrange polynomial L(x) has degree \leq k and assumes each value at the corresponding node, L(x_j) = y_j. Although named after Joseph-Louis Lagrange, who published it in 1795, the method was first discovered in 1779 by Edward Waring. It is also an easy consequence of a formula published in 1783 by Leonhard Euler. Uses of Lagrange polynomials include the Newton–Cotes method of numerical integration and Shamir's secret sharing scheme in cryptography. For equispaced nodes, Lagrange interpolation is susceptible to Runge's phenomenon of large oscillation. Definition Given a set of k + 1 nodes \, which must all be distinct, x_j \neq x_m for indices j \neq m, the Lagrange basis for polynomials of deg ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Adobe Flash
Adobe Flash (formerly Macromedia Flash and FutureSplash) is a multimedia software platform used for production of animations, rich web applications, desktop applications, mobile apps, mobile games, and embedded web browser video players. Flash displays text, vector graphics, and raster graphics to provide animations, video games, and applications. It allows streaming of audio and video, and can capture mouse, keyboard, microphone, and camera input. Artists may produce Flash graphics and animations using Adobe Animate (formerly known as Adobe Flash Professional). Software developers may produce applications and video games using Adobe Flash Builder, FlashDevelop, Flash Catalyst, or any text editor combined with the Apache Flex SDK. End users view Flash content via Flash Player (for web browsers), Adobe AIR (for desktop or mobile apps), or third-party players such as Scaleform (for video games). Adobe Flash Player (which is available on Microsoft Windows, macOS, and Li ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Google Video
Google Video was a free video hosting service launched by the multinational technology company Google on January 25, 2005. Similar to YouTube, this platform allowed video clips to be hosted on Google servers and embedded on to other websites. In 2009, Google Videos stopped accepting new video uploads since Google acquired YouTube, and users had the opportunity to publish their videos directly onto YouTube. On August 20, 2012, Google Videos was ultimately shut down. Thereafter, the web address has been reused to host Google Videos search engine. Video content Google Video was geared towards providing a large archive of freely searchable videos. Besides amateur media, Internet videos, viral ads, and movie trailers, the service also aimed to distribute commercial professional media, such as televised content and movies. A number of educational discourses by Google employees were recorded and made available for viewing via Google Video. The lectures were done mainly at the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Santa Barbara, California
Santa Barbara ( es, Santa Bárbara, meaning "Saint Barbara") is a coastal city in Santa Barbara County, California, of which it is also the county seat. Situated on a south-facing section of coastline, the longest such section on the West Coast of the United States, the city lies between the steeply rising Santa Ynez Mountains and the Pacific Ocean. Santa Barbara's climate is often described as Mediterranean, and the city has been dubbed "The American Riviera". According to the 2020 U.S. Census, the city's population was 88,665. In addition to being a popular tourist and resort destination, the city has a diverse economy that includes a large service sector, education, technology, health care, finance, agriculture, manufacturing, and local government. In 2004, the service sector accounted for 35% of local employment. Education in particular is well represented, with four institutions of higher learning nearby: the University of California, Santa Barbara, Santa Barbara City C ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


CRYPTO
Crypto commonly refers to: * Cryptocurrency, a type of digital currency secured by cryptography and decentralization * Cryptography, the practice and study of hiding information Crypto or Krypto may also refer to: Cryptography * Cryptanalysis, the study of methods for obtaining the meaning of encrypted information * CRYPTO (conference), an annual cryptographical and cryptoanalytic conference * Crypto++, a free, open source library of cryptographic algorithms and schemes *'' Crypto: How the Code Rebels Beat the Government—Saving Privacy in the Digital Age'', a book about cryptography by Steven Levy * Crypto AG, a Swiss manufacturer of encrypted communications products Finance * crypto.com, a cryptocurrency online News platform. Biology and medicine * ''Cryptococcus'' (fungus), a genus of fungus that can cause lung disease, meningitis, and other illnesses in humans and animals ** Cryptococcosis (also called cryptococcal disease), a disease caused by ''Cryptococcus'' * '' ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


PostScript
PostScript (PS) is a page description language in the electronic publishing and desktop publishing realm. It is a dynamically typed, concatenative programming language. It was created at Adobe Systems by John Warnock, Charles Geschke, Doug Brotz, Ed Taft and Bill Paxton from 1982 to 1984. History The concepts of the PostScript language were seeded in 1976 by John Gaffney at Evans & Sutherland, a computer graphics company. At that time Gaffney and John Warnock were developing an interpreter for a large three-dimensional graphics database of New York Harbor. Concurrently, researchers at Xerox PARC had developed the first laser printer and had recognized the need for a standard means of defining page images. In 1975-76 Bob Sproull and William Newman developed the Press format, which was eventually used in the Xerox Star system to drive laser printers. But Press, a data format rather than a language, lacked flexibility, and PARC mounted the Interpress effort to cre ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Haifa
Haifa ( he, חֵיפָה ' ; ar, حَيْفَا ') is the third-largest city in Israel—after Jerusalem and Tel Aviv—with a population of in . The city of Haifa forms part of the Haifa metropolitan area, the third-most populous metropolitan area in Israel. It is home to the Baháʼí Faith's Baháʼí World Centre, and is a UNESCO World Heritage Site and a destination for Baháʼí pilgrimage. Built on the slopes of Mount Carmel, the settlement has a history spanning more than 3,000 years. The earliest known settlement in the vicinity was Tell Abu Hawam, a small port city established in the Late Bronze Age (14th century BCE). Encyclopedia Judaica, ''Haifa'', Keter Publishing, Jerusalem, 1972, vol. 7, pp. 1134–1139 In the 3rd century CE, Haifa was known as a dye-making center. Over the millennia, the Haifa area has changed hands: being conquered and ruled by the Canaanites, Israelites, Phoenicians, Assyrians, Babylonians, Persians, Hasmoneans, Romans, Byzantines, ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Springer-Verlag
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 international ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  



MORE