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Forking Lemma
The forking lemma is any of a number of related lemmas in cryptography research. The lemma states that if an adversary (typically a probabilistic Turing machine), on inputs drawn from some distribution, produces an output that has some property with non-negligible probability, then with non-negligible probability, if the adversary is re-run on new inputs but with the same random tape, its second output will also have the property. This concept was first used by David Pointcheval and Jacques Stern in "Security proofs for signature schemes," published in the proceedings of Eurocrypt 1996.Adam Young and Moti Yung, "Malicious Cryptography: Exposing Cryptovirology", Wiley press, 2004, pp. 344. In their paper, the forking lemma is specified in terms of an adversary that attacks a digital signature scheme instantiated in the random oracle model. They show that if an adversary can forge a signature with non-negligible probability, then there is a non-negligible probability that the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lemma (mathematics)
In mathematics and other fields, a lemma (: lemmas or lemmata) is a generally minor, proven Theorem#Terminology, proposition which is used to prove a larger statement. For that reason, it is also known as a "helping theorem" or an "auxiliary theorem". In many cases, a lemma derives its importance from the theorem it aims to mathematical proof, prove; however, a lemma can also turn out to be more important than originally thought. Etymology From the Ancient Greek λῆμμα, (perfect passive εἴλημμαι) something received or taken. Thus something taken for granted in an argument. Comparison with theorem There is no formal distinction between a lemma and a theorem, only one of intention (see Theorem#Terminology, Theorem terminology). However, a lemma can be considered a minor result whose sole purpose is to help prove a more substantial theorem – a step in the direction of proof. Well-known lemmas Some powerful results in mathematics are known as lemmas, first named for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Australia
Australia, officially the Commonwealth of Australia, is a country comprising mainland Australia, the mainland of the Australia (continent), Australian continent, the island of Tasmania and list of islands of Australia, numerous smaller islands. It has a total area of , making it the list of countries and dependencies by area, sixth-largest country in the world and the largest in Oceania. Australia is the world's flattest and driest inhabited continent. It is a megadiverse countries, megadiverse country, and its size gives it a wide variety of landscapes and Climate of Australia, climates including deserts of Australia, deserts in the Outback, interior and forests of Australia, tropical rainforests along the Eastern states of Australia, coast. The ancestors of Aboriginal Australians began arriving from south-east Asia 50,000 to 65,000 years ago, during the Last Glacial Period, last glacial period. By the time of British settlement, Aboriginal Australians spoke 250 distinct l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Claus P
Claus (sometimes Clas) is both a given name and a German, Danish, and Dutch surname. Notable people with the name include: Given name *Claus von Amsberg, Prince Claus of the Netherlands, Jonkheer van Amsberg (1926–2002) * Claus-Casimir of Orange-Nassau, Count of Orange-Nassau, Jonkheer van Amsberg (born 2004) * Claus von Bülow (1926–2019), British socialite accused of attempting to murder his wife, Sunny von Bülow * Claus Clausen (other), three people of that name * Claus Jacob (born 1969), German scientist * Claus Jørgensen (racewalker) (born 1974), Danish racewalker *Claus Bech Jørgensen (born 1976), Danish-born Faroese footballer * Claus Larsen (other), three people of that name * Claus Lundekvam (born 1973), Norwegian former footballer * Claus Moser, Baron Moser (1922–2015), British statistician * Claus Nielsen (born 1964), Danish former football striker *Claus Norreen (born 1970), Danish musician with the band Aqua, and record producer *Claus Offe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ElGamal Signature Scheme
The ElGamal signature scheme is a digital signature scheme which is based on the difficulty of computing discrete logarithms. It was described by Taher Elgamal in 1985. (conference version appeared in CRYPTO'84, pp. 10–18) The ElGamal signature algorithm is rarely used in practice. A variant developed at the NSA and known as the Digital Signature Algorithm is much more widely used. There are several other variants. The ElGamal signature scheme must not be confused with ElGamal encryption which was also invented by Taher Elgamal. Overview The ElGamal signature scheme is a digital signature scheme based on the algebraic properties of modular exponentiation, together with the discrete logarithm problem. The algorithm uses a key pair consisting of a public key and a private key. The private key is used to generate a digital signature for a message, and such a signature can be verified by using the signer's corresponding public key. The digital signature provides message authenti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fork (software Development)
In software development, a fork is a codebase that is created by duplicating an existing codebase and, generally, is subsequently modified independently of the original. Software built from a fork initially has identical behavior as software built from the original code, but as the source code is increasingly modified, the resulting software tends to have increasingly different behavior compared to the original. A fork is a form of branching, but generally involves storing the forked files separately from the original; not in the repository. Reasons for forking a codebase include user preference, stagnated or discontinued development of the original software or a schism in the developer community. Forking proprietary software (such as Unix) is prohibited by copyright law without explicit permission, but free and open-source software, by definition, may be forked without permission. Etymology The word ''fork'' has been used to mean "to divide in branches, go separate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uniform Distribution (discrete)
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number ''n'' of outcome values are equally likely to be observed. Thus every one of the ''n'' outcome values has equal probability 1/''n''. Intuitively, a discrete uniform distribution is "a known, finite number of outcomes all equally likely to happen." A simple example of the discrete uniform distribution comes from throwing a fair six-sided die. The possible values are 1, 2, 3, 4, 5, 6, and each time the die is thrown the probability of each given value is 1/6. If two dice were thrown and their values added, the possible sums would not have equal probability and so the distribution of sums of two dice rolls is not uniform. Although it is common to consider discrete uniform distributions over a contiguous range of integers, such as in this six-sided die example, one can define discrete uniform distributions over any finite set. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexandria, Virginia
Alexandria is an independent city (United States), independent city in Northern Virginia, United States. It lies on the western bank of the Potomac River approximately south of Washington, D.C., D.C. The city's population of 159,467 at the 2020 census made it the List of cities in Virginia, sixth-most populous city in Virginia and List of United States cities by population, 169th-most populous city in the U.S. Alexandria is a principal city of the Washington metropolitan area, which is part of the larger Washington–Baltimore combined statistical area. Like the rest of Northern Virginia and Central Maryland, present-day Alexandria has been influenced by its proximity to the U.S. capital. It is largely populated by professionals working in the United States federal civil service, federal civil service, in the United States Armed Forces, U.S. military, or for one of the many private companies which contract to Government contractor, provide services to the Federal government of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Association For Computing Machinery
The Association for Computing Machinery (ACM) is a US-based international learned society for computing. It was founded in 1947 and is the world's largest scientific and educational computing society. The ACM is a non-profit professional membership group, reporting nearly 110,000 student and professional members . Its headquarters are in New York City. The ACM is an umbrella organization for academic and scholarly interests in computer science (informatics). Its motto is "Advancing Computing as a Science & Profession". History In 1947, a notice was sent to various people: On January 10, 1947, at the Symposium on Large-Scale Digital Calculating Machinery at the Harvard computation Laboratory, Professor Samuel H. Caldwell of Massachusetts Institute of Technology spoke of the need for an association of those interested in computing machinery, and of the need for communication between them. ..After making some inquiries during May and June, we believe there is ample interest to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mihir Bellare
Mihir Bellare is a cryptographer and professor at the University of California San Diego. He holds a Bachelor of Science degree from the California Institute of Technology and a Ph.D. from the Massachusetts Institute of Technology. He has published several seminal papers in the field of cryptography (notably in the area of provable security), many of which were co-written with Phillip Rogaway. Bellare has published a number of papers in the field of Format-Preserving Encryption. His students include Michel Abdalla, Chanathip Namprempre, Tadayoshi Kohno and Anton Mityagin. Bellare is one of the authors of skein. In 2003 Bellare was a recipient of RSA Conference's Sixth Annual Award for outstanding contributions in the field of mathematics for his research in cryptography. In 2013 he became a Fellow of the Association for Computing Machinery. In 2019 he was awarded Levchin Prize for Real-World Cryptography for his outstanding contributions to the design and analysis of real-wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spain
Spain, or the Kingdom of Spain, is a country in Southern Europe, Southern and Western Europe with territories in North Africa. Featuring the Punta de Tarifa, southernmost point of continental Europe, it is the largest country in Southern Europe and the fourth-most populous European Union member state. Spanning across the majority of the Iberian Peninsula, its territory also includes the Canary Islands, in the Eastern Atlantic Ocean, the Balearic Islands, in the Western Mediterranean Sea, and the Autonomous communities of Spain#Autonomous cities, autonomous cities of Ceuta and Melilla, in mainland Africa. Peninsular Spain is bordered to the north by France, Andorra, and the Bay of Biscay; to the east and south by the Mediterranean Sea and Gibraltar; and to the west by Portugal and the Atlantic Ocean. Spain's capital and List of largest cities in Spain, largest city is Madrid, and other major List of metropolitan areas in Spain, urban areas include Barcelona, Valencia, Seville, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saragossa
Zaragoza (), traditionally known in English as Saragossa ( ), is the capital city of the province of Zaragoza and of the autonomous communities of Spain, autonomous community of Aragon, Spain. It lies by the Ebro river and its tributaries, the Huerva and the Gállego (river), Gállego, roughly in the centre of both Aragon and the Ebro basin. On 1 January 2021, the population of the municipality of Zaragoza was 675,301, (as of 2023, the Ranked lists of Spanish municipalities#By population, fourth or fifth most populous in Spain) on a land area of . It is the list of cities in the European Union by population within city limits, 26th most populous municipality in the European Union. The population of the metropolitan area was estimated in 2006 at 783,763 inhabitants. The municipalities of Spain, municipality is home to more than 50 percent of the Aragonese population. The city lies at an elevation of about height above mean sea level, above sea level. Zaragoza hosted Expo 2008 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Random Oracle
In cryptography, a random oracle is an oracle (a theoretical black box) that responds to every ''unique query'' with a (truly) random response chosen uniformly from its output domain. If a query is repeated, it responds the same way every time that query is submitted. Stated differently, a random oracle is a mathematical function chosen uniformly at random, that is, a function mapping each possible query to a (fixed) random response from its output domain. Random oracles first appeared in the context of complexity theory, in which they were used to argue that complexity class separations may face relativization barriers, with the most prominent case being the P vs NP problem, two classes shown in 1981 to be distinct relative to a random oracle almost surely. They made their way into cryptography by the publication of Mihir Bellare and Phillip Rogaway in 1993, which introduced them as a formal cryptographic model to be used in reduction proofs. They are typically used when ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
