Search results “Discrete logarithm elliptic curve cryptography disadvantages”

This Algorithm is used to exchange the secret /symmetric key between sender and receiver.
This exchange of key can be done with the help of public key and private key
step 1 Assume prime number p
step 2 Select a such that a is primitive root of p and a less than p
step 3 Assume XA private key of user A
step 4 Calculate YA public key of user A with the help of formula
step 5 Assume XB private key of user B
step 6 Calculate YB public key of user B with the help of formula
step 7 Generate K secret Key using YB and XA with the help of formula at Sender side.
step 8 Generate K secret Key using YA and XB with the help of formula at Receiver side.

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Sundeep Saradhi Kanthety

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: 7962
nptelhrd

Hello Friends, in this lecture we have taught that, The Rabin cryptosystem is an asymmetric cryptographic technique, whose security, like that of RSA, is related to the difficulty of factorization. However the Rabin cryptosystem has the advantage that the problem on which it relies has been proved to be as hard as integer factorization, which is not currently known to be true of the RSA problem. It has the disadvantage that each output of the Rabin function can be generated by any of four possible inputs; if each output is a ciphertext, extra complexity is required on decryption to identify which of the four possible inputs was the true plaintext.
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Quick Trixx

Lecture Series on Internet Technologies by Prof.I.Sengupta, Department of Computer Science & Engineering ,IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 45427
nptelhrd

In this video , i discussed about GTU INS UNIT 4 i.e. Public Key Cryptography
you Can find Unit PPT, Material , related Videos on Below Google Drive LInk
https://drive.google.com/drive/folders/0B3F0L2_uTazMOF9sTGpIbGVVdG8?usp=sharing
For any Query you can mail me on
[email protected]
Feel Free to Share

Views: 1195
ANKIT CHOUHAN

This video is part of the Udacity course "Intro to Information Security". Watch the full course at https://www.udacity.com/course/ud459

Views: 394
Udacity

This video explores the Cryptography research group at the University of Bristol through an interview with the head of the group, Prof. Nigel Smart.

Views: 54
AzitaGhassemi Media

Public-key cryptography, also known as asymmetric cryptography, is a class of cryptographic algorithms which require two separate keys, one of which is secret (or private) and one of which is public. Although different, the two parts of this key pair are mathematically linked. The public key is used to encrypt plaintext or to verify a digital signature; whereas the private key is used to decrypt ciphertext or to create a digital signature. The term "asymmetric" stems from the use of different keys to perform these opposite functions, each the inverse of the other -- as contrasted with conventional ("symmetric") cryptography which relies on the same key to perform both.
Public-key algorithms are based on mathematical problems which currently admit no efficient solution that are inherent in certain integer factorization, discrete logarithm, and elliptic curve relationships. It is computationally easy for a user to generate their own public and private key-pair and to use them for encryption and decryption. The strength lies in the fact that it is "impossible" (computationally infeasible) for a properly generated private key to be determined from its corresponding public key. Thus the public key may be published without compromising security, whereas the private key must not be revealed to anyone not authorized to read messages or perform digital signatures. Public key algorithms, unlike symmetric key algorithms, do not require a secure initial exchange of one (or more) secret keys between the parties.
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Views: 774
Audiopedia

Professor Claude Crépeau of McGill University presents the fourth lecture focused on Integers based cryptography -- specifically lattices. This lecture was part of a series of four lectures during Spring 2013.
Find out more about IQC!
Website - https://uwaterloo.ca/institute-for-quantum-computing/
Facebook - https://www.facebook.com/QuantumIQC
Twitter - https://twitter.com/QuantumIQC

Views: 300
Institute for Quantum Computing

A digital signature is a mathematical scheme for demonstrating the authenticity of a digital message or document. A valid digital signature gives a recipient reason to believe that the message was created by a known sender, such that the sender cannot deny having sent the message (authentication and non-repudiation) and that the message was not altered in transit (integrity). Digital signatures are commonly used for software distribution, financial transactions, and in other cases where it is important to detect forgery or tampering.
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Views: 237
Audiopedia

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Post-quantum_cryptography
00:01:45 1 Algorithms
00:01:59 1.1 Lattice-based cryptography
00:02:55 1.2 Multivariate cryptography
00:03:30 1.3 Hash-based cryptography
00:04:52 1.4 Code-based cryptography
00:05:42 1.5 Supersingular elliptic curve isogeny cryptography
00:06:54 1.6 Symmetric key quantum resistance
00:07:41 2 Security reductions
00:08:22 2.1 Lattice-based cryptography – Ring-LWE Signature
00:09:15 2.2 Lattice-based cryptography – NTRU, BLISS
00:09:55 2.3 Multivariate cryptography – Rainbow
00:10:29 2.4 Hash-based cryptography – Merkle signature scheme
00:11:19 2.5 Code-based cryptography – McEliece
00:11:49 2.6 Code-based cryptography – RLCE
00:12:19 2.7 Supersingular elliptic curve isogeny cryptography
00:12:53 3 Comparison
00:13:59 3.1 Lattice-based cryptography – LWE key exchange and Ring-LWE key exchange
00:15:27 3.2 Lattice-based Cryptography – NTRU encryption
00:16:10 3.3 Multivariate cryptography – Rainbow signature
00:16:52 3.4 Hash-based cryptography – Merkle signature scheme
00:17:18 3.5 Code-based cryptography – McEliece
00:23:35 3.6 Supersingular elliptic curve isogeny cryptography
00:24:41 3.7 Symmetric–key-based cryptography
00:25:26 4 Forward secrecy
00:26:50 5 Open Quantum Safe project
00:27:46 6 Implementation
00:28:18 7 See also
Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.
Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain
Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.
Listen on Google Assistant through Extra Audio:
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Upload your own Wikipedia articles through:
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"There is only one good, knowledge, and one evil, ignorance."
- Socrates
SUMMARY
=======
Post-quantum cryptography (sometimes referred to as quantum-proof, quantum-safe or quantum-resistant) refers to cryptographic algorithms (usually public-key algorithms) that are thought to be secure against an attack by a quantum computer. As of 2018, this is not true for the most popular public-key algorithms, which can be efficiently broken by a sufficiently strong hypothetical quantum computer. The problem with currently popular algorithms is that their security relies on one of three hard mathematical problems: the integer factorization problem, the discrete logarithm problem or the elliptic-curve discrete logarithm problem. All of these problems can be easily solved on a sufficiently powerful quantum computer running Shor's algorithm. Even though current, publicly known, experimental quantum computers lack processing power to break any real cryptographic algorithm, many cryptographers are designing new algorithms to prepare for a time when quantum computing becomes a threat. This work has gained greater attention from academics and industry through the PQCrypto conference series since 2006 and more recently by several workshops on Quantum Safe Cryptography hosted by the European Telecommunications Standards Institute (ETSI) and the Institute for Quantum Computing.In contrast to the threat quantum computing poses to current public-key algorithms, most current symmetric cryptographic algorithms and hash functions are considered to be relatively secure against attacks by quantum computers. While the quantum Grover's algorithm does speed up attacks against symmetric ciphers, doubling the key size can effectively block these attacks. Thus post-quantum symmetric cryptography does not need to differ significantly from current symmetric cryptography. See section on symmetric-key approach below.

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wikipedia tts

Cryptography is the practice and study of techniques for secure communication in the presence of third parties . More generally, it is about constructing and analyzing protocols that overcome the influence of adversaries and which are related to various aspects in information security such as data confidentiality, data integrity, authentication, and non-repudiation. Modern cryptography intersects the disciplines of mathematics, computer science, and electrical engineering. Applications of cryptography include ATM cards, computer passwords, and electronic commerce.
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Views: 245
encyclopediacc

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Cryptography
00:03:38 1 Terminology
00:07:53 2 History of cryptography and cryptanalysis
00:08:55 2.1 Classic cryptography
00:16:37 2.2 Computer era
00:19:13 2.3 Advent of modern cryptography
00:21:54 3 Modern cryptography
00:23:02 3.1 Symmetric-key cryptography
00:23:13 3.2 Public-key cryptography
00:23:28 3.3 Cryptanalysis
00:27:58 3.4 Cryptographic primitives
00:34:01 3.5 Cryptosystems
00:40:06 4 Legal issues
00:41:12 4.1 Prohibitions
00:43:02 4.2 Export controls
00:43:12 4.3 NSA involvement
00:45:45 4.4 Digital rights management
00:48:46 4.5 Forced disclosure of encryption keys
00:50:51 5 See also
00:53:36 6 References
00:55:46 7 Further reading
Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.
Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain
Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.
Listen on Google Assistant through Extra Audio:
https://assistant.google.com/services/invoke/uid/0000001a130b3f91
Other Wikipedia audio articles at:
https://www.youtube.com/results?search_query=wikipedia+tts
Upload your own Wikipedia articles through:
https://github.com/nodef/wikipedia-tts
Speaking Rate: 0.8357640430680523
Voice name: en-US-Wavenet-D
"I cannot teach anybody anything, I can only make them think."
- Socrates
SUMMARY
=======
Cryptography or cryptology (from Ancient Greek: κρυπτός, translit. kryptós "hidden, secret"; and γράφειν graphein, "to write", or -λογία -logia, "study", respectively) is the practice and study of techniques for secure communication in the presence of third parties called adversaries. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages; various aspects in information security such as data confidentiality, data integrity, authentication, and non-repudiation are central to modern cryptography. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, electrical engineering, communication science, and physics. 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 synonymous with encryption, the conversion of information from a readable state to apparent nonsense. The originator of an encrypted message shares the decoding technique only with intended recipients to preclude access from adversaries. The cryptography literature often uses the names Alice ("A") for the sender, Bob ("B") for the intended recipient, and Eve ("eavesdropper") for the adversary. Since the development of rotor cipher machines in World War I and the advent of computers in World War II, the methods used to carry out cryptology have become increasingly complex and its application more widespread.
Modern cryptography is heavily based on mathematical theory and computer science practice; cryptographic algorithms are designed around computational hardness assumptions, making such algorithms hard to break in practice by any adversary. It is theoretically possible to break such a system, but it is infeasible to do so by any known practical means. These schemes are therefore termed computationally secure; theoretical advances, e.g., improvements in integer factorization algorithms, and faster computing technology require these solutions to be continually adapted. There exist information-theoretically secure schemes that provably cannot be broken even with unlimited computing power—an example is the one-time pad—but these schemes are more difficult to use in practice than the best theoretically breakable but computationally secure mechanisms.
The growth of cryptographic technology has raised a number of legal issues in the information age. Cryptography's potential for use as a tool for espionage and sedition has led many governments to classify it as a weapon and to limit or even prohibit its use and export. In some jurisdictions where the use of cryptography is legal, laws permit investigators to compel the disclosure of encryption keys for documents relevant to an investigation. Cryptography also plays a major role in digital rights management and copyright infringement of digital media.

Views: 3
wikipedia tts

Public-key cryptography, also known as asymmetric cryptography, is a class of cryptographic algorithms which require two separate keys, one of which is secret and one of which is public. Although different, the two parts of this key pair are mathematically linked. The public key is used to encrypt plaintext or to verify a digital signature; whereas the private key is used to decrypt ciphertext or to create a digital signature. The term "asymmetric" stems from the use of different keys to perform these opposite functions, each the inverse of the other -- as contrasted with conventional cryptography which relies on the same key to perform both.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video

Views: 2104
encyclopediacc

Views: 14075
Internetwork Security

The slides are available on the Facebook group:
https://www.facebook.com/groups/800441673459620/
MimbleWimble is a very capable protocol, which, after being published by an anonymous cryptographer 2 years ago, drew a lot of attention. In this talk I'd like to discuss MimbleWimble in-depth, argue why it's a sane payment system and how capable it is, and what can be built on top of it. With all that said, to build a truly anonymous payment system there are many important design decisions, and challenges are yet to be solved.
Vladislav Gelfer is lead core developer at Beam (https://www.beam.mw/)

Views: 238
Zero Knowledge

Views: 2110
Introduction to Algorithms and Analysis

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/List_of_important_publications_in_mathematics
00:00:49 1 Algebra
00:00:59 1.1 Theory of equations
00:01:08 1.1.1 iBaudhayana Sulba Sutra/i
00:01:57 1.1.2 iThe Nine Chapters on the Mathematical Art/i
00:02:17 1.1.3 iHaidao Suanjing/i
00:02:46 1.1.4 iSunzi Suanjing/i
00:03:07 1.1.5 iAryabhatiya/i
00:03:23 1.1.6 iJigu Suanjing/i
00:04:15 1.1.7 iBrāhmasphuṭasiddhānta/i
00:04:38 1.1.8 iAl-Kitāb al-mukhtaṣar fī hīsāb al-ğabr wa'l-muqābala/i
00:05:07 1.2 iLīlāvatī/i, iSiddhānta Shiromani/i and iBijaganita/i
00:05:49 1.2.1 iYigu yanduan/i
00:06:12 1.2.2 iMathematical Treatise in Nine Sections/i
00:06:30 1.2.3 iCeyuan haijing/i
00:07:05 1.2.4 iJade Mirror of the Four Unknowns/i
00:07:25 1.2.5 iArs Magna/i
00:07:46 1.2.6 iVollständige Anleitung zur Algebra/i
00:08:18 1.2.7 iDemonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse/i
00:08:55 1.3 Abstract algebra
00:09:05 1.3.1 Group theory
00:09:27 1.3.1.1 iRéflexions sur la résolution algébrique des équations/i
00:09:43 1.3.2 iArticles Publiés par Galois dans les Annales de Mathématiques/i
00:09:53 1.3.3 iTraité des substitutions et des équations algébriques/i
00:10:08 1.3.4 iTheorie der Transformationsgruppen/i
00:10:26 1.3.5 iSolvability of groups of odd order/i
00:11:10 1.3.6 Homological algebra
00:11:24 1.3.7 iHomological Algebra/i
00:11:53 1.3.8 "Sur Quelques Points d'Algèbre Homologique"
00:12:47 2 Algebraic geometry
00:13:28 2.1 "Theorie der Abelschen Functionen"
00:14:04 2.2 iFaisceaux Algébriques Cohérents/i
00:14:13 2.3 iGéométrie Algébrique et Géométrie Analytique/i
00:14:44 2.4 "Le théorème de Riemann–Roch, d'après A. Grothendieck"
00:15:11 2.5 iÉléments de géométrie algébrique/i
00:15:21 2.6 iSéminaire de géométrie algébrique/i
00:16:33 3 Number theory
00:18:03 3.1 iBrāhmasphuṭasiddhānta/i
00:19:33 3.2 iDe fractionibus continuis dissertatio/i
00:20:25 3.3 iRecherches d'Arithmétique/i
00:21:05 3.4 iDisquisitiones Arithmeticae/i
00:22:26 3.5 "Beweis des Satzes, daß jede unbegrenzte arithmetische Progression, deren erstes Glied und Differenz ganze Zahlen ohne gemeinschaftlichen Factor sind, unendlich viele Primzahlen enthält"
00:22:35 3.6 "Über die Anzahl der Primzahlen unter einer gegebenen Grösse"
00:23:21 3.7 iVorlesungen über Zahlentheorie/i
00:23:50 3.8 iZahlbericht/i
00:24:50 3.9 iFourier Analysis in Number Fields and Hecke's Zeta-Functions/i
00:26:34 3.10 "Automorphic Forms on GL(2)"
00:27:25 3.11 "La conjecture de Weil. I."
00:28:39 3.12 "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern"
00:29:30 3.13 "Modular Elliptic Curves and Fermat's Last Theorem"
00:30:11 3.14 iThe geometry and cohomology of some simple Shimura varieties/i
00:30:54 3.15 "Le lemme fondamental pour les algèbres de Lie"
00:31:24 4 Analysis
00:31:48 4.1 iIntroductio in analysin infinitorum/i
00:32:38 4.2 Calculus
00:33:25 4.2.1 iYuktibhāṣā/i
00:34:01 4.2.2 iNova methodus pro maximis et minimis, itemque tangentibus, quae nec fractas nec irrationales quantitates moratur, et singulare pro illi calculi genus/i
00:34:26 4.2.3 iPhilosophiae Naturalis Principia Mathematica/i
00:34:36 4.2.4 iInstitutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum/i
00:36:17 4.2.5 iÜber die Darstellbarkeit einer Function durch eine trigonometrische Reihe/i
00:36:26 4.2.6 iIntégrale, longueur, aire/i
00:37:30 4.3 Complex analysis
00:38:09 4.3.1 iGrundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse/i
00:39:30 4.4 Functional analysis
00:40:41 4.4.1 iThéorie des opérations linéaires/i
00:41:30 4.5 Fourier analysis
00:41:54 4.5.1 iMémoire sur la propagation de la chaleur dans les corps solides/i
00:42:04 4.5.2 iSur la convergence des séries trigonométriques qui servent à représenter une fonction arbitraire entre des limites données/i
00:42:38 4.5.3 iOn convergence and growth of partial sums of Fourier series/i
00:42:47 5 Geometry
00:43:44 5.1 iBaudhayana Sulba Sutra/i
00:43:53 5.2 iEuclid's/i iElements/i
00:45:06 5.3 iThe Nine Chapters on the Mathematical Art/i
00:46:10 5.4 iThe Conics/i
00:46:41 5.5 iSurya Siddhanta/i
00:46:51 5.6 iAryabhatiya/i
00:47:56 5.7 iLa Géométrie/i
00:48:16 5.8 iGrundlagen der Geometrie/i
00:49:15 5.9 iRegular Polytopes/i
00:50:13 5.10 Differential geometry
00:50:51 5.10.1 iRecherches sur la courbure des surfaces/i
00:51:47 5.10.2 iDisquisitiones generales circa superficies curvas/i
00:52:28 5.10.3 iÜber die Hypothesen, welche der Geometrie zu Grunde Liegen/i
00:53:00 5.10.4 iLeçons sur la théorie génerale des surfaces et les applications géométriques du calcul infinitésimal/i
00:53:47 6 Topology
00:54:32 6.1 iAnalysis situs/i
00:54:42 6.2 iL'anneau d'homologie d'une représentation/i, iStructure de l'anneau d'homologie d'une r ...

Views: 44
wikipedia tts

© 2019 Public finance in theory and practice musgrave

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