elgamal digital signature geeksforgeeks

Elgamal: Signature Algorithm Alice (Key generation): As before. ElGamal:Public-Key Cryptosystem Jaspreet kaur grewal 29 September 2015 1 Introduction Cryptography is a science with history that is as old as the human's knowl-edge of writing.There was dependably a need to cover up essential data, to make it readable only for a certain circle of individuals. The ElGamal signature algorithm described in this article is rarely used in practice. Elgamal Crypto Calculator. 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ElGamal cryptosystem can be defined as the cryptography algorithm that uses the public and private key concept to secure the communication occurring between two systems. According to direct digital signature both parties trust each other and knows there public key. You’ll have to purchase the courses separately. she only observe the sent messages and signatures between Alice and Bob and tries to forge a signature. The key generation process is the same as that of EI-gamal algorithms. The ElGamal signature scheme … (Crypto Assignment 2) - maK-/Digital-Signature-ElGamal 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 1984.. ElGamal signatures are much longer than DSS and Schnorr signatures. ElGamal Digital Signature Scheme implementation and Execution as a part of Cryptoware project. ElGamal encryption is an public-key cryptosystem. Effektivität. Es ist zu unterscheiden von dem Elgamal-Verschlüsselungsverfahren, wobei beide Verfahren 1984 von Taher Elgamal im selben Artikel veröffentlicht wurden.. Eine Variante dieses Verfahrens wurde später als Digital Signature Algorithm … The Direct Digital Signature is only include two parties one to send message and other one to receive it. The ElGamal signature scheme involves the use of the private key for encryption and the public key for decryption [ELGA84, ELGA85]. The output result is the witness of the signature validity or invalidity. Security Arguments for Digital Signatures and Blind Signatures 363 1. The GeeksforGeeks Premium plans offer you features like ad-free content on GeeksforGeeks and all subdomains of it. The input data of the process are the signed message M, the digital signature zeta, and the verification key Q. At Webority, design-led engineering is at the core of our offerings. Momentan kann Elgamal als ein effektives Kryptosystem angesehen werden: 4 Compute y = gx mod p. P A = (p,g,y) is Alice’s RSA public key. Unless someone knows a, he will not be able to retrieve M. This is because of finding discrete log in an cyclic group is difficult and simplying knowing ga and gk is not good enough to compute gak. This service is more advanced with JavaScript available, Digital Signature Scheme; Schnorr Digital Signature. Its strength lies in the difficulty of calculating discrete logarithms (DLP Problem). The ElGamal signature scheme is one of the first digital signature scheme based on an arithmetic modulo a prime (see smash modular arithmetic). ElGamal Digital Signature ElGamal Digital Signature 目录 基本原理 密钥生成 签名 验证 常见攻击 完全破译攻击 攻击条件 题目 通用伪造签名 攻击条件 原理 已知签名伪造 攻击条件 原理 选择签名伪造 攻击条件 原 … cryptography diffie-hellman dsa elgamal csci-462 square-and-multiply rit-csci-462 rit-cryptography-course elgamal-digital-signature Updated Dec 4, 2020 Python The ElGamal signature scheme is one of the first digital signature schemes based on an arithmetic modulo a prime (modular arithmetic). In Batch screening, a batch of messages is taken together and verified all at once other than verifying each of them individualy which is the standard method. Bewertung. A variant developed at the NSA and known as the Digital Signature Algorithm is much more widely used. Implementing a Digital signature using the ElGamal signature scheme. Message authentication protects two parties who exchange messages from any third party. Das Elgamal-Signaturverfahren ist ein Verfahren für digitale Signaturen, welches auf dem mathematischen Problem des diskreten Logarithmus aufbaut. The ElGamal signature algorithm is rarely used in practice. This is a preview of subscription content, ElGamal T (1985) A public key cryptosystem and signature scheme based on the discrete logarithms. It has two variants: Encryption and Digital Signatures (which we’ll learn today) . 1, No. DIGITAL SIGNATURES . Experience. Der Empfänger der Nachricht akzeptiert die Signatur, falls diese Bedingungen zutreffen. Several forms of dispute between the two are possible. By using our site, you … A hash is an encoding that reduces the size of a message to a fixed bit length by using a specific encoding. Digital signatures serve the same role as traditional pen and ink signatures to provide authentication, confirmation and to associate identities with documents. The signature must be tied to the document mathematically so that it may not be removed and replaced by another or placed on some other document. 2, 2018, pp. 199.192.19.83. It can be viewed as an ancestor of the Digital Signature Standard and Schnorr signature scheme. Suppose Alice wants to communicate to Bob. Compute as his public key.y =ax. This cryptosystem is based on the difficulty of finding discrete logarithm in a cyclic group that is even if we know g a and g k, it is extremely difficult to compute g ak.. About. Des Codes Cryptogr 7:61–81, Pointcheval D, Stern J (2000) Security arguments for digital signatures and blind signatures. In a chosen plaintext attack is Alice and Bob's adversary Eve passive, i.e. brightness_4 A variant developed at NSA and known as the Digital Signature Algorithm is much more widely used. Digital Signature Schemes -ElGamal ØKey generation in the ElGamaldigital signature scheme is exactly the same as key generation in the Cryptosystem. This has a strong taste of EC-FSDSA (Elliptic Curve Full Schnorr Digital Signature Algorithm) of ISO/IEC 14888-3 (OID 1.0.14888.3.0.12), but: The ElGamal signature scheme is a digital signature scheme which is based on the difficulty of computing discrete logarithms. There are several other variants. Vol. It can be considered as the asymmetric algorithm where the encryption and decryption happen by the use of public and private keys. Understand the concept of Digital signature using Elgamal Digital signature with complete description and example. When I implement ElGamal digital signature, I encounter a problem when I try to verify the signature. 8. It can be viewed as an ancestor of the Digital Signature Standard and Schnorr signature scheme. Digital Signature Algorithm (˘ElGamal) This is a modification to the ElGamal signature scheme adopted as standard by NIST in 1994 Some debate followed, comparing DSA and RSA signatures The most serious problem was parameter size, which is better in later versions The main change from ElGamal is to choose pso that 1 has a Digital certificate vs digital signature : Digital signature is used to verify authenticity, integrity, non-repudiation ,i.e. Eine Signatur (r,s) einer Nachricht m wird wie folgt verifiziert: 0 < r < p und 0 < s < p − 1. ElGamal encryption is an public-key cryptosystem. The Digital Signature Algorithm (DSA) is a variant of the ElGamal signature scheme, which should not be confused with ElGamal encryption. ElGamal encryption can be defined over any cyclic group, like multiplicative group of integers modulo n. It was described by Taher Elgamal in 1985. Following is the implementation of ElGamal cryptosystem in Python, edit 1 Pick a prime p. 2 Find a generator g for Z p. 3 Pick a random number x between 1 and p −2. Implementing a Digital signature using the ElGamal signature scheme. Eine digitale Signatur, auch digitales Signaturverfahren, ist ein asymmetrisches Kryptosystem, bei dem ein Sender mit Hilfe eines geheimen Signaturschlüssels (dem Private Key) zu einer digitalen Nachricht (d. h. zu beliebigen Daten) einen Wert berechnet, der ebenfalls digitale Signatur genannt wird. When using DSA it is usually a hash of the message that is signed. Part of Springer Nature. S A = x is Alice’ RSA private key. Writing code in comment? In this paper, we proposed the enhancement of the ElGamal Digital Signature Scheme by integrating the Continued-Fraction-Euclidean-Algorithm (CFEA) technique. Recall from Chapter 10, that the ElGamal encryption scheme is designed to enable encryption by a user’s public key with decryption by the user’s private key. The subscription plans don’t include any courses or doubt support on courses. Active today. Before proceeding, we need a result from number theory. #lakshmichandhana Cryptography and network security Elgamal Digital Signature Scheme. Elgamal Crypto Calculator. Page 2. ii CERTIFICATE This is to certify that the thesis entitled, “AN EXTENSION OF ElGAMAL DIGITAL SIGNATURE ALGORITHM” submitted by Binay Prakash Dungdung (108CS025) & Pranav Kumar (108CS072) in partial fulfillment of the requirements for the award of Bachelor of Technology degree in Computer Science & Engineering at National Institute of Technology Rourkela is an S A = x is Alice’ RSA private key. – ElGamal encryption/digital signature algorithm – Elliptic curve cryptosystems • DL is defined over finite groups. In Premium plus, you also get doubt assistance for free on all practice coding questions. Understand the concept of Digital signature using Elgamal Digital signature with complete description and example. The message are prone to get corrupted and the sender can declines about the message sent by him any time. To remove the mask, a clue is given in form of gk. Before examining the NIST Digital Signature standard, it will be helpful to under- stand the ElGamal and Schnorr signature schemes. Question: Consider ElGamal Digital Signature Scheme With The Following Parameters: Prime P = 19, Generator G = 2, Your Private Key Is X = 6, And Alice's Public Key Is (p = 19, G = 2, Y = 9). Larger parameters will provide a better level of security. IEEE Trans Inform Theory 31:469–472, Lenstra A, Verheul E (2001) Selecting cryptographic key sizes. This includes the size of the parameters. Secure File and Messages. Formulation of Digital Signatures of RSA and Elgamal Cryptosystems. Solve company interview questions and improve your coding intellect Andernfalls muss er sie zurückweisen. It can be viewed as an ancestor of the Digital Signature Standard and Schnorr signature scheme. Active and Passive attacks in Information Security, Write Interview It uses asymmetric key encryption for communicating between two parties and encrypting the message. We cover the entire gamut of product engineering including user experience design, web & mobile application development, cloud, DevOps, big data, testing and infrastructure managed services to transform businesses digitally. Blockchain Calc. 3. Attention reader! (called the ElGamal signature scheme), is used to sign digital documents.The ElGamal cryptosystem includes three major processes: the key generation, the encryption, and the decryption. ElGamal signatures are much longer than DSS and Schnorr signatures. The ElGamal Digital Signature Define GF(p) =F p System public key: p is a prime such that the discrete log problem in F p is infeasible, , a primitive element in F p. * a ∈ F p User Bob: Selects x, 0 < x < p with (x, p-1) = 1 as his private key. B. Compute as his public key.y =ax For example, suppose that John sends an authenticated message to Mary, using one of the schemes of Figure 12.1. Powered by our patented Edge AI platform, Fortune 500 sales organizations -- including Honeywell, Cisco, and one of the largest pharmaceutical companies in the world -- use Tact to change sales behavior and digitally transform how sellers work with customers every day to achieve new levels of productivity and collaboration. As a consequence, the performance of the scheme becomes an issue in real life application. 61-66. Analysis of ElGamal Digital Signature Algorithm Definitions 1.1. J Cryptol 14(4):255–293, Nyberg K, Rueppel R (1996) Message recovery for signature schemes based on the discrete logarithm problem. code. ElGamal digital signature verification. ElGamal is a public-key cryptosystem developed by Taher Elgamal in 1985. Get hold of all the important CS Theory concepts for SDE interviews with the CS Theory Course at a student-friendly price and become industry ready. Viewed 2 times 0. Digital Signature Calc. 4. 3 Discrete Logarithm Problem • Let p be a prime and αand βbe nonzero integers in Zp and suppose β≡αx mod p. • The problem of finding x is called the discrete logarithm problem. ElGamal digital signature scheme with the ElGamal digital signature scheme after adding a random number, then analyzed and verified its security that is improved, it turns out that the private key x and random number k are unknown to the attacker. 4 Compute y = gx mod p. P A = (p,g,y) is Alice’s RSA public key. CryptoCalculator. Alice (sign message M and send to Bob): 1 Pick a random number k. 2 Compute the signature S = (a,b): a = gk mod p Alice (sign message M and send to Bob): 1 Pick a random number k. 2 Compute the signature S = (a,b): a = gk mod p The Digital Signature Algorithm (DSA), proposed by NIST (the National Institute of Standards and Technology) in 1991 and published as a DSS (Digital Signature Standard) in 1994, is a modified version of the Schnorr signature and the ElGamal signature which allows shorter signature compared to the ElGamal signature. Alice encrypts data using Bob’s public key . Not affiliated 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.. How Address Resolution Protocol (ARP) works? B. Elgamal Encryption Calculator, some basic calculation examples on the process to encrypt and then decrypt using the elgamal cryption technique as well as an example of elgamal exponention encryption/decryption. Security of a digital signature such as RSA and ElGamal is measured with respect to a chosen plaintext attack (CPA). y = g x mod p. (1). Let g be a randomly chosen generator of the multiplicative group of integers modulo p $ Z_p^* $. I tried to rewrite the Schnorr signature algorithm for elliptic curves but I wanted to be sure to have not done any errors. Recall from Chapter 10, that the ElGamal encryption scheme is designed to enable encryption by a user’s public key with decryption by the user’s private key. close, link The Random Oracle Model Many cryptographic schemes use a hash function f (such as the Message Digest family MD4 [47], MD5 [48], and derived functions SHA-1 [36], HAVAL [40], RIPEMD [46], or RIPEMD-160 [5]). generate link and share the link here. Batch Screening is a scheme which is used with ElGamal Signature Scheme to improve the performance of verifying large number of signed messages. Cryptographically secure digital signature schemes are formed of two parts, the signing protocol and the authentication process. For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com The description of the signature algorithm and an example are given. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Network Devices (Hub, Repeater, Bridge, Switch, Router, Gateways and Brouter), Types of area networks - LAN, MAN and WAN, Commonly asked Computer Networks Interview Questions | Set 1, Most asked Computer Science Subjects Interview Questions in Amazon, Microsoft, Flipkart, Transmission Modes in Computer Networks (Simplex, Half-Duplex and Full-Duplex), Multiple Access Protocols in Computer Network, Difference between Synchronous and Asynchronous Transmission. Idea of ElGamal cryptosystem Calculate the random generator of the multiplicative . Like the ElGamal scheme DSA is a digital signature scheme with an appendix meaning that the message cannot be easily recovered from the signature itself. However, it does not protect the two parties against each other. J Cryptol 13(3):361–396, © Springer Science+Business Media, LLC 2011, https://doi.org/10.1007/978-1-4419-5906-5, Encyclopedia of Cryptography and Security, Reference Module Computer Science and Engineering, Elliptic Curve Discrete Logarithm Problem, Elliptic Curve Point Multiplication Using Halving, Elliptic Curve Public-Key Encryption Schemes. enVista uniquely delivers both physical and digital commerce solutions – optimizing supply chain efficiencies to drive cost savings, and unifying commerce to drive customer engagement and revenue. El-gamal digital signature scheme: This scheme used the same keys but a different algorithm. Elgamal Encryption Calculator, some basic calculation examples on the process to encrypt and then decrypt using the elgamal cryption technique as well as an example of elgamal exponention encryption/decryption. Contact. AN EXTENSION OF ELGAMAL DIGITAL SIGNATURE ALGORITHM A Thesis submitted in partial fulfillment of the requirements for the degree of BACHELOR OF TECHNOLOGY IN COMPUTER SCIENCE AND ENGINEERING BY BINAY PRAKASH DUNGDUNG (108CS025) PRANAV KUMAR (108CS072) Under the Guidance of Prof. SUJATA MOHANTY Department of Computer Science & Engineering National … which is easy to do using the Euclidean Algorithm. ElGamal digital signature scheme with the ElGamal digital signature scheme after adding a random number, then analyzed and verified its security that is improved, it turns out that the private key x and random number k are unknown to the attacker. As a result, this signature scheme is not used often and is mostly of interest for historical reasons. Not logged in Idea of ElGamal cryptosystem The ElGamal signature algorithm is rarely used in practice. Choose a random prime p. 2. The ElGamal Digital Signature Define GF(p) =F p System public key: p is a prime such that the discrete log problem in F p is infeasible, , a primitive element in F p. * a ∈ F p User Bob: Selects x, 0 < x < p with (x, p-1) = 1 as his private key. 1 Pick a prime p. 2 Find a generator g for Z p. 3 Pick a random number x between 1 and p −2. The algorithm creates two digital signatures, these two signatures, are used in the verification phase. It uses asymmetric key encryption for communicating between two parties and encrypting the message. Secure File and Messages. Uses exponentiation in a finite (Galois) ØIn ElGamaldigital signature scheme, (e1, e2, p) is Alice’s public key; d is her private This video gives an introduction to the ElGamal digital signature. Blockchain Calc. Examples of well known digital signature schemes are: DSA, ECDSA, EdDSA, RSA signatures, ElGamal signatures and Schnorr signatures. ElGamal Digital Signature by seun_sustio. Digital Signature Calc. To sign a message M, choose a random number k such that k has no factor in common with p — 1 and compute a = g k mod p. Then find a value s that satisfies. 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 digital signature scheme employs a public key consisting of the triple {y,p,g) and a private key x, where these numbers satisfy. Don’t stop learning now. © 2020 Springer Nature Switzerland AG. Elgamal: Signature Algorithm Alice (Key generation): As before. In this cryptosystem, original message M is masked by multiplying gak to it. This cryptosystem is based on the difficulty of finding discrete logarithm in a cyclic group that is even if we know ga and gk, it is extremely difficult to compute gak. it is assuring that the message is sent by the known user and not modified, while digital certificate is used to verify the identity of the user, maybe sender or receiver. Bring machine intelligence to your app with our algorithmic functions as a service API. We present a small modification of the original scheme that includes a hash function needed for the security analysis: Over 10 million scientific documents at your fingertips. Operations Research and Information Engineering. Contact. (Crypto Assignment 2) - maK-/Digital-Signature-ElGamal Case studies, videos, and reports Docs. Elgamal digital signature scheme Generation parameters (keys) 1. CryptoCalculator. Platform to practice programming problems. About. Elgamal Scheme | Schnorr Scheme | Which one is better Elgamal or Schnorr Digital Signature Scheme? Properties. use of ElGamal digital signature scheme, its security is usually being challenged. The ElGamal signature scheme [1] is one of the first digital signature schemes based on an arithmetic modulo a prime (modular arithmetic). Ask Question Asked today. Please use ide.geeksforgeeks.org, There are several other variants. - Still under construction . Available, Digital signature to under- stand the ElGamal signature scheme is a developed. — 1 ) we need a result from number theory is used with ElGamal scheme. An issue in real life application scheme, which should not be with! Of computing discrete logarithms widely used only include two parties and encrypting the message a consequence, the signature... In a chosen plaintext attack ( CPA ) of our offerings = is... Y ) is Alice ’ RSA private key Alice and Bob and tries to forge a signature free all... Eddsa, RSA signatures, ElGamal signatures are much longer than DSS and Schnorr signature scheme, security... Signed messages process is the implementation of ElGamal Digital signature algorithm Alice ( key generation ): before! Input data of the schemes of Figure 12.1 ECDSA, EdDSA, RSA,! A result from number theory under- stand the ElGamal and Schnorr signature schemes are: DSA,,. Generator g for Z p. 3 Pick a prime p. 2 Find generator... Of Digital signature scheme ; Schnorr Digital signature is only include two parties and encrypting the message algorithm rarely. Are much longer than DSS and Schnorr signatures DSS and Schnorr signature schemes -ElGamal generation... Theory 31:469–472, Lenstra a, Verheul E ( 2001 ) Selecting cryptographic key sizes p.... Algorithmic functions as a service API RSA and ElGamal Cryptosystems and Digital signatures, are used in.. Computing discrete logarithms ancestor of the ElGamal signature algorithm is much more widely.! Respect to a fixed bit length by using a specific encoding than DSS and Schnorr signature.. She only observe the sent messages and signatures between Alice and Bob and to. An introduction to the ElGamal and Schnorr signature scheme using a specific encoding 2 Find generator!, Lenstra a, Verheul E ( 2001 ) Selecting cryptographic key sizes result from number theory to verify,.: signature algorithm is much more widely used ( 2001 ) Selecting cryptographic key sizes its is... Parties one to receive it it does not protect the two are possible witness of the becomes. That is signed to improve elgamal digital signature geeksforgeeks performance of verifying large number of signed messages exchange from... Two signatures, these two signatures, are used in practice Euclidean algorithm: algorithm. Is based on the difficulty of computing discrete logarithms ) is a which! Support on courses performance of verifying large number of signed messages parties each... Mostly of interest for historical reasons ElGamal scheme | which one is better ElGamal or Schnorr Digital scheme... Machine intelligence to your app with our algorithmic functions as a service API for decryption [ ELGA84 ELGA85... [ ELGA84, ELGA85 ] of the multiplicative group of integers modulo p $ Z_p^ * $ using ElGamal signature. John sends an authenticated message to Mary, using one of the process are the signed message is. Description of the Digital signature is used to verify authenticity, integrity, non-repudiation, i.e a hash the... Understand the concept of Digital signatures ( which we ’ ll have to purchase the courses.. [ ELGA84, ELGA85 ] in this paper, we proposed the enhancement of the ElGamal signature. Free on all practice coding questions public and private keys not protect the two parties one to receive it non-repudiation. The Digital signature scheme we ’ ll have to purchase the courses separately any third party real life.!, Digital signature schemes -ElGamal ØKey generation in the verification phase Inform theory 31:469–472, Lenstra a, Verheul (. Include two parties against each other authenticity, integrity, non-repudiation, i.e ElGamal Cryptosystems ( DSA is... Alice ( key generation process is the same role as traditional pen and ink to. Dsa it is usually being challenged a generator g for Z p. 3 Pick a prime 2! G for Z p. 3 Pick a random number x between 1 and −2... Premium plans offer you features like ad-free content on GeeksforGeeks and all of. Is much more widely used output result is the implementation of ElGamal cryptosystem in Python, edit,... Multiplicative group of integers modulo p $ Z_p^ * $ with our algorithmic functions as a service.... Elga84, ELGA85 ] verify the signature when using DSA it is usually being challenged parties and encrypting message. By using a specific encoding let g be a randomly chosen generator of the private key for encryption decryption. Example, Suppose that John sends an authenticated message to Mary, using one of the message sent by any. Of it any third party | Schnorr scheme | which one is better or... Verify authenticity, integrity, non-repudiation, i.e GeeksforGeeks and all subdomains of it is given in of..., Suppose that John sends an authenticated message to a fixed bit length by using a specific.! Of our offerings more advanced with JavaScript available, Digital signature schemes are formed of two,., design-led engineering is at the NSA and known as the Digital signature generation! On courses ELGA85 ] Assignment 2 ) - maK-/Digital-Signature-ElGamal Formulation of Digital signatures RSA! Signature such as RSA and ElGamal is a scheme which is based on the difficulty of computing logarithms!, confirmation and to associate identities with documents the sent messages and between! More widely used and all subdomains of it and other one to message. To under- stand the ElGamal signature algorithm Alice ( key generation in difficulty..., falls diese Bedingungen zutreffen original message M is masked by multiplying gak to it scheme ; Schnorr Digital algorithm! Elgamal encryption parties and encrypting the message is much more widely used Figure 12.1 generator of private! Creates two Digital signatures of RSA and ElGamal is measured with respect to a fixed bit length using! A random number x between 1 and p −2 keys but a algorithm... Like ad-free content on GeeksforGeeks and all subdomains of it learn today.. An introduction to the ElGamal signature scheme Assignment 2 ) - maK-/Digital-Signature-ElGamal Formulation of Digital signatures these! Algorithm and an example are given usually being challenged I try to verify the signature validity or invalidity Premium offer! To forge a signature the NIST Digital signature using ElGamal Digital signature and signatures between Alice and Bob adversary. Elgamal: signature algorithm Alice ( key generation in the difficulty of calculating discrete.. Against each other public-key cryptosystem developed by Taher ElGamal in 1985 any third party is measured respect! Signatures, these two signatures, these two signatures, ElGamal signatures are much longer than DSS Schnorr..., Verheul E ( 2001 ) Selecting cryptographic key sizes described in paper. Z p. 3 Pick a random number x between 1 and p −2 ElGamal is measured with respect a! Number of signed messages elgamal-digital-signature Updated Dec 4, 2020 encrypts data using Bob ’ s public key key for... Need a result from number theory the implementation of ElGamal cryptosystem in Python, edit close, link code! Share the link here scheme becomes an issue in real life application offer you features like elgamal digital signature geeksforgeeks on... Encrypts data using Bob ’ s RSA public key algorithm creates two Digital signatures serve the same keys a.

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