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Search results “Primality test in cryptography books”

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Check my previous video on simpler primality testing algorithms: https://www.youtube.com/watch?v=LULHTKznczA Check my previous video on how powmod can be built in polynomial time: https://www.youtube.com/watch?v=qed48E92qXc Fermat's primality test: https://en.wikipedia.org/wiki/Fermat_primality_test Carmichael numbers: https://en.wikipedia.org/wiki/Carmichael_number Soup's number theory book: http://www.shoup.net/ntb/ntb-v2.pdf This is an implementation of Fermat's primality test in Python. The algorithm is polynomial in the size of the input and it works in O(k polylog(p)) where k is the test accuracy parameter and p is the candidate being tested. Because Fermat's algorithm uses randomness, it is a probabilistic algorithm. Fermat's test is a flawed algorithm because Carmichael numbers are composite numbers that the test thinks are prime. Polynomial-time primality testing has many applications in cryptography such as key generation. If you liked this video, please thumbs up and subscribe. This is one of my first videos. Please leave feedback about what you think I can improve and what other topics you would like to see. I've just created a Patreon where you can buy me a cup of coffee. Thanks so much for supporting me! https://www.patreon.com/dionyziz
Views: 964 dionyziz

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The Miller-Rabin primality test: https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test A python implementation of the probabilistic Miller-Rabin primality test. This test runs in polynomial time O(k polylog(p)) and has a negligible probability of failure 4^(-k), making it suitable for cryptographic applications. This video builds up from Fermat's primality test. Watch my previous video where I explain it: https://www.youtube.com/watch?v=qDakpCEW5-0 Euclid's lemma: https://en.wikipedia.org/wiki/Euclid%27s_lemma Fermat's little theorem: https://en.wikipedia.org/wiki/Fermat%27s_little_theorem Soup's number theory book: http://www.shoup.net/ntb/ntb-v2.pdf If you enjoyed this video, please 👍 and +Subscribe. This is one of my first videos. Please leave feedback about what you think I can improve and what other topics you would like to see. I've just created a Patreon where you can buy me a cup of coffee. Thanks so much for supporting me! https://www.patreon.com/dionyziz
Views: 3156 dionyziz

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 7285 nptelhrd

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Today we use Python to identify prime numbers. This is important in cryptography and number theory. While it’s simple to make the function work, it’s hard to make it FAST. We’ll profile the function and look at several ways to improve the speed of our algorithm. Our Patrons on Patreon help us make our videos! We'd like to recognize our VIP Patron Vishal Shah whose generosity has made such a big difference for our channel. Thank you, Vishal! ➢➢➢➢➢➢➢➢➢➢ To learn Python, you can watch our playlist from the beginning: https://www.youtube.com/watch?v=bY6m6_IIN94&list=PLi01XoE8jYohWFPpC17Z-wWhPOSuh8Er- ➢➢➢➢➢➢➢➢➢➢ If you’d like a reference book, we recommend “Python Cookbook, 3rd Edition” from O’Reilly: http://amzn.to/2sCNYlZ The Mythical Man Month - Essays on Software Engineering & Project Management http://amzn.to/2tYdNeP ➢➢➢➢➢➢➢➢➢➢ To​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ Socratica at: ​Patreon​: https://www.patreon.com/socratica Socratica Paypal: https://www.paypal.me/socratica We also accept Bitcoin! :) Our​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ➢➢➢➢➢➢➢➢➢➢ You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ➢➢➢➢➢➢➢➢➢➢ Python instructor: Ulka Simone Mohanty (@ulkam on Twitter) Written & Produced by Michael Harrison (@mlh496 on Twitter)
Views: 54402 Socratica

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Use trial division to find a prime number MATH 291

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The Ulam spiral is a way of visualizing the distribution of prime numbers (in blue). This pattern is one the great unsolved mysteries in mathematics and has important consequences in Cryptography.
Views: 46553 Art of the Problem

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Students Aiding International Development will host a benefit concert titled H.E.R. Concert for Congo, in conjunction with HEAL Africa, on Friday, March 30th 2012 at Miami Dade College Kendall Campus Fred Shaw Memorial Plaza from 6:00 pm until 12:00 am. Through this event, we will raise awareness, unite community members, and above all, raise at least \$20,000 in donations to build a safe house for rape victims to seek counseling, proper medical care, and life skills/vocational training in the Democratic Republic of Congo. Help us reach our goal: Donate: http://herconcert.com/donate Start your own fundraising page: http://herconcert.com/fundraise Where you can find us: http://herconcert.com http://herconcert2012.tumblr.com http://facebook.com/HERConcert http://twitter.com/HERConcert2012 Music: Kevin MacLeod (http://incompetech.com)
Views: 431 herconcert2012

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What is HICKLIN TEST? What does HICKLIN TEST mean? HICKLIN TEST meaning - HICKLIN TEST definition - HICKLIN TEST explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. SUBSCRIBE to our Google Earth flights channel - https://www.youtube.com/channel/UC6UuCPh7GrXznZi0Hz2YQnQ The Hicklin test is a legal test for obscenity established by the English case Regina v. Hicklin (1868). At issue was the statutory interpretation of the word "obscene" in the Obscene Publications Act 1857, which authorized the destruction of obscene books. The court held that all material tending "to deprave and corrupt those whose minds are open to such immoral influences" was obscene, regardless of its artistic or literary merit. The modern English law of obscenity began with the Obscene Publications Act 1857, also known as Lord Campbell’s Act. Lord Campbell, the Chief Justice of Queen's Bench, introduced the bill, which provided for the seizure and summary disposition of obscene and pornographic materials. The Act also granted authority to issue search warrants for premises suspected of housing such materials. Regina v. Hicklin involved one Henry Scott, who resold copies of an anti-Catholic pamphlet entitled "The Confessional Unmasked: shewing the depravity of the Romish priesthood, the iniquity of the Confessional, and the questions put to females in confession." When the pamphlets were ordered destroyed as obscene, Scott appealed the order to the court of Quarter Sessions. Benjamin Hicklin, the official in charge of such orders as Recorder, revoked the order of destruction. Hicklin held that Scott's purpose had not been to corrupt public morals but to expose problems within the Catholic Church; hence, Scott's intention was innocent. The authorities appealed Hicklin's reversal, bringing the case to the consideration of the Court of Queen's Bench. Chief Justice Cockburn, on April 29, 1868, reinstated the order of the lower court, holding that Scott's intention was immaterial if the publication was obscene in fact. Justice Cockburn reasoned that the Obscene Publications Act allowed banning of a publication if it had a "tendency ... to deprave and corrupt those whose minds are open to such immoral influences, and into whose hands a publication of this sort may fall." Hicklin therefore allowed portions of a suspect work to be judged independently of context. If any portion of a work was deemed obscene, the entire work could be outlawed. Adoption of obscenity laws in the United States was largely due to the efforts of Anthony Comstock. Comstock's intense lobbying led to the passage in 1873 of an anti-obscenity statute known as the Comstock Act. Comstock was appointed postal inspector to enforce the new law. Twenty-four states passed similar prohibitions on materials distributed within the states. The law criminalized not only sexually explicit material, but also material dealing with birth control and abortion. Although lower courts in the U.S. had used the Hicklin standard sporadically since 1868, it was not until 1879, when prominent federal judge Samuel Blatchford upheld the obscenity conviction of D. M. Bennett using Hicklin, that the constitutionality of the Comstock Law became firmly established. In 1896, the Supreme Court in Rosen v. United States, 161 U.S. 29 (1896), adopted the Hicklin test as the appropriate test of obscenity. However, in 1957, the Supreme Court ruled in Roth v. United States, 354 U.S. 476 (1957) that the Hicklin test was inappropriate. In Roth, Justice Brennan, writing for the majority, noted that some American courts had adopted the Hicklin standard, but that later decisions more commonly relied upon the question of "whether to the average person, applying contemporary community standards, the dominant theme of the material taken as a whole appeals to prurient interest." This Roth test became essentially the new definition of obscenity in the United States.
Views: 435 The Audiopedia

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algorithm and flowchart for the trial division method.
Views: 373 Sathish Kumar

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for the part that mentions: “links in the description:” https://www.youtube.com/watch?v=YX40hbAHx3s Sources also listed in video: References [1] Pomerance, Carl, Selfridge, and Samuel Wagstaff, Jr. "The Pseudoprimes." Mathematics of Computation 35.151 (1980): 1094-024. American Mathematical Society. Web. [2] "Baillie–PSW Primality Test." Wikipedia. Wikimedia Foundation, 31 Mar. 2017. Web. 07 Apr. 2017. [3] Nicely, Thomas R. "The Baillie-PSW Primality Test." Trnicely.net. N.p., 10 June 2005. Web. [4] Wolfram Alpha [5] https://wiki.python.org/moin/TimeComplexity [6] https://ivokoller.com/rsa-part-3/ Media Sources Cormac. "Boston Irish." October 2012. N.p., 25 Oct. 2012. Web. 23 Apr. 2017. Schnickledooger. "Schnickledooger." Someone Please Help the Skywalker Family. N.p., 02 July 2014. Web. 23 Apr. 2017. "New Books." Introduction to Cryptography. N.p., n.d. Web. 23 Apr. 2017. Pinterest "Night Photos." Free Stock Photos. N.p., n.d. Web. 23 Apr. 2017. http://l4wisdom.com/python/python_list.php http://stackoverflow.com/questions/111307/whats-p-np-and-why-is-it-such-a-famous-question http://demonstrations.wolfram.com/Pseudoprime/ https://en.wikipedia.org/wiki/Binary_search_algorithm#/media/File:Binary_Search_Depiction.svg Python images - https://www.youtube.com/watch?v=HfzCpDilEVM https://en.wikipedia.org/wiki/Lucas–Lehmer_primality_test https://ivokoller.com/rsa-part-3/ https://www.businesscomputingworld.co.uk/5-things-your-files-would-tell-you-if-they-could-talk/ oh no face - http://wazzuptonight.com/never-lose-car-again/oh-no1/ https://en.wikipedia.org/wiki/RSA_(cryptosystem) The trump - https://www.youtube.com/watch?v=EEA33bAXyNM background Music : https://www.youtube.com/watch?v=L5oNESifgpk https://www.youtube.com/watch?v=tUgUqlm9nzo
Views: 169 evlynn hofbauer

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This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
Views: 344 Udacity

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Tal Rabin is Manager and research staff member of the Cryptography Research Group at IBM's T.J. Watson Research Center. Her research focuses on cryptography and, more specifically, on multiparty computations, threshold and proactive security. Rabin regularly publishes in leading cryptography and security conferences and journals and has written several book chapters. She has also served as the Program Chair in leading cryptography conferences and is an editor of the Journal of Cryptology. In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized. (Subject to certain rules and regulations.)
Views: 4114 TEDx Talks

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A proof of Wilson's Theorem, a basic result from elementary number theory. The theorem can be strengthened into an iff result, thereby giving a test for primality. (Though in practice there are far more efficient tests.) Subject: Elementary Number Theory Teacher: Michael Harrison Artist: Olga Reukova
Views: 46526 Socratica

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The Sieve of Eratosthenes: https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes Trial division: https://en.wikipedia.org/wiki/Trial_division For an introduction to complexity and big-O, big-Ω notation see: https://dionyziz.com/complexity/ Soup's number theory book: http://www.shoup.net/ntb/ntb-v2.pdf This is a classical number theory algorithm implementation in Python. The Sieve of Eratosthenes and trial division are the simplest way of determining whether a number is a prime, a primality test. This is an exponential way of checking for primality, as the complexity is Ω(sqrt(n)). Primality testing has many applications including cryptography. If you liked this video, please thumbs up and subscribe. This is one of my first videos. Please leave feedback about what you think I can improve and what other topics you would like to see. I've just created a Patreon where you can buy me a cup of coffee. Thanks so much for supporting me! https://www.patreon.com/dionyziz
Views: 2018 dionyziz

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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 10909 Udacity

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Views: 40055 Quick Trixx

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Fermat's little theorem explained with example| More videos to come. Like and subscribe our channel.
Views: 3362 BtechViral

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Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large numbers and can aid in testing numbers to see if they are prime. For more advanced students, this theorem can be easily proven using basic group theory. Prerequisites: To follow this video, you will want to first learn the basics of congruences. If you found this video helpful, please share it with your friends! You might like the other videos in our Number Theory Playlist: https://www.youtube.com/watch?v=VLFjOP7iFI0&list=PLi01XoE8jYojnxiwwAPRqEH19rx_mtcV_ Don't forget to Subscribe to our channels so you'll hear about our newest videos: http://www.youtube.com/subscription_center?add_user=SocraticaStudios Subject: Number Theory Teacher: Michael Harrison Artist: Katrina de Dios
Views: 139619 Socratica

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MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 16257 MIT OpenCourseWare

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Views: 82 S.B. Kamble

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 5702 nptelhrd

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A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime, because the only ways of writing it as a product, or , involve 5 itself. However, 6 is composite, because it is the product of two numbers that are both smaller than 6. Primes are central in number theory, because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple, but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast, but has a small chance of error, and the AKS primality test, which always produces the correc... http://www.wikividi.com ____________________________________ Shortcuts to chapters: 00:02:45 Definition and examples 00:05:10 History 00:09:11 Primality of one 00:11:05 Unique factorization ____________________________________ Copyright WikiVidi. Licensed under Creative Commons. Wikipedia link: https://en.wikipedia.org/wiki/Prime_number

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lecture 14
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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 10024 nptelhrd

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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 1200 Udacity

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Engineers explain data mining concepts giving commonly used techniques and methods according to: "Top 10 Algorithms in Data Mining" by XindongWu · Vipin Kumar · J. Ross Quinlan · Joydeep Ghosh · Qiang Yang · Hiroshi Motoda · Geoffrey J. McLachlan · Angus Ng · Bing Liu · Philip S. Yu · Zhi-Hua Zhou · Michael Steinbach · David J. Hand · Dan Steinberg 9 July 2007 UCLA article: http://www.anderson.ucla.edu/faculty/jason.frand/teacher/technologies/palace/datamining.htm Song: Miles Davis "So What" Kind of Blue (1959)
Views: 28 Nick Losee

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A Turing machine is a model of a machine which can mimic any other (known as a universal machine). What we call "computable" is whatever a Turing machine can write down. This video is about how it was conceived and why it works. This is the second last video in the CS series (https://www.youtube.com/watch?v=fjMU-km-Cso&list=PLbg3ZX2pWlgI_ej6ZhGd45-cPoWLZD9pT)
Views: 63835 Art of the Problem

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 12158 nptelhrd

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Views: 72 Srydewi Bako

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 7548 nptelhrd

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 4400 nptelhrd

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http://209show.com with Bex Schwartz, Reverend Jen Miller,and Melpomene Whitehead. Featuring RJ Rabin as the left arm. Shot a couple or three weeks before 9/11.
Views: 2268 johnnysaucer

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The properties and patterns of prime numbers — whole numbers that are divisible only by themselves and one — have been a source of wonder across cultures for thousands of years, and the study of prime numbers is fundamental to mathematics. This unit explores our fascination with primes, culminating in the million-dollar puzzle of the Riemann Hypothesis, a possible description of the pattern behind the primes, and the use of the primes as the foundation of modern cryptography
Views: 363 Augustine

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In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.* (*Subject to certain rules and regulations)
Views: 1536 TEDx Talks

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Top 7 algorithms, every programmer should know.
Views: 30 iwiz education

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 4190 nptelhrd

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Eriko Hironaka talks at the Worldwide Center of Mathematics "Lehmer's Problem and Dilatations of Mapping Classes"

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What does pseudoprime mean? A spoken definition of pseudoprime. Intro Sound: Typewriter - Tamskp Licensed under CC:BA 3.0 Outro Music: Groove Groove - Kevin MacLeod (incompetech.com) Licensed under CC:BA 3.0 Intro/Outro Photo: The best days are not planned - Marcus Hansson Licensed under CC-BY-2.0 Book Image: Open Book template PSD - DougitDesign Licensed under CC:BA 3.0 Text derived from: http://en.wiktionary.org/wiki/pseudoprime Text to Speech powered by TTS-API.COM

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 4461 nptelhrd

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Top 10 algorithms in machine learning.
Views: 50 iwiz education

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Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 9276 nptelhrd

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Here we show how someone could easily construct math Olympiads calibre exercises using some identities. Copyrighted by Vasilis Mpakas Maths specialist tel. 07554134801 for GCSE, OCR,SAT, GRE, IB exams, A Level, Degree exams, London tutors, mathematics specialists, physics, economics, Cambridge, Oxford, Edinburgh Universities, Analysis, Algebra, Differential equations, differential geometry, applied maths, Statistics, Probability, Number theory, combinatorics, Financial maths, Microeconomics, Macroeconomics, Mechanics, Geometry, Logic, Real and Complex Analysis, mathematics competitions, putnam, IMO, game theory, topology, analytic geometry, Group theory, discrete maths,difficult maths problems
Views: 228 Vasilis Mpakas

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Can information theory help us talk to aliens? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-wires-cables-and-wifi?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/informationtheory/moderninfotheory/v/testtest?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy