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January 1, 2021

the security of the elgamal encryption scheme is based on

The situation is similar for (Schnorr-)signed ElGamal encryption, a simple CCA2-secure variant of ElGamal. Cyber-Physical-Social System (CPSS) provides users secure and high-quality mobile service applications to share and exchange data in the cyberspace and physical world. The dependency mechanism between two models makes it possible to structure the development of system models, by organizing phases identified in the analyzed process. M. Naor and O. Reingold. Blind Schnorr Signatures and Signed ElGamal Encryption in the Algebraic Group Model, An alternative practical public-key cryptosystems based on the Dependent RSA Discrete Logarithm Problems, Private, Fair, and Verifiable Aggregate Statistics for Mobile Crowdsensing in Blockchain Era, A Data Storage and Sharing Scheme for Cyber-Physical-Social Systems, SGX-based Users Matching with Privacy Protection, Contextual Dependency in State-Based Modelling, Zero-Knowledge to the Rescue: Consistent Redundant Backup of Keys Generated for Critical Financial Services, Blind Transfer of Personal Data Achieving Privacy, An Adaptive Authenticated Data Structure With Privacy-Preserving for Big Data Stream in Cloud, About Asymmetric Execution of the Asymmetric ElGamal Cipher, Efficient signature generation by smart cards, Non-Interactive Zero-Knowledge Proof of Knowledge and Chosen Ciphertext Attack, Foundations of cryptography – a primer. The correctness of aggregate statistics can be publicly verified by using a new efficient and verifiable computation approach. Springer-Verlag, 1987. B. DamgÃ¥rd. Fast exponentiation with precomputation. Concretely, we give a new tight security reduction from a stronger assumption, the Phi-Hiding assumption introduced by Cachin et al (EUROCRYPT 1999). In this paper we introduce a new approach of constructing time capsule signature. For, above (“lunch-time attack” [NY90]) provides no information to the adversary, if, she has produced the ciphertexts by herself. Concretely, we show that it only holds if the underlying trapdoor permutation is certified. Immunizing public key cryptosystems against chosen ciphertext attacks. Extensive experiments are conducted to demonstrate the high efficiency of FairCrowd for aggregate statistics in mobile crowdsensing. This is a preview of subscription content, D. Beaver. The in-, fied adversarial algorithm which: (1) constructs a random oracle, the adversary until she produces a forged signature (, adversary on the same inputs; (3) outputs the private key, the Schnorr signature, and from this computes, other words, if the adversary can produce a signature, then it is withi, computational power (via the modification above) to compute the private key, ing oracle then the assumption holds [PS96]. chosen ciphertext attack under standard intractability assumptions. Here we show directly that the decision, semantic security of the ElGamal encryption is actually, Next we present additions on ElGamal encryption, equivalent to the decision Diffie-Hellman assumption, the existence of a, bit commitments. is optimal and cannot, Join ResearchGate to discover and stay up-to-date with the latest research from leading experts in, Access scientific knowledge from anywhere. proof of knowledge, and show how it may be constructed in that setting from a non-interactive zero-knowledge proof system We present a new public-key signature scheme and a corresponding authentication scheme that are based on discrete logarithms in a subgroup of units in To solve these problems, we propose a new authenticate data structure named privacy-preserving adaptive trapdoor hash authentication tree (P-ATHT) by introducing trapdoor hash and BLS signature to the Merkle hash tree. acles in authenticated encryption schemes. CRT-ElGamal is a variant of ElGamal that is implemented in the subgroup of where and are prime numbers and is believed to be semantically secure under the DDH assumption [2]. But there are many differences between the schemes, especially when one looks at the the parameter choices. I. In this work we uncover a subtle flaw in Coron’s impossibility result. However, its security has never been concretely proven based on clearly understood and accepted primitives. where p is a sufficiently large prime, e.g., p 2512. In. The ElGamal signature algorithm is rarely used in practice. A conventional cryptosystem that permits reencryption, such as ElGamal, does so only for a player with knowledge of the public key corresponding to a given ciphertext. On the Construction of Pseudo-Random Permutations: Luby-Rackoff Revisited (Extended Abstract). It combined distributed key generation, special encryption and transferable zero-knowledge proofs to achieve the practical goal in the working environment. Digital signcryption or how to achieve cost (signature & encryption) ≪ cost(signature) + cost (encryption). By utilizing the ElGamal encryption, the server learns nearly nothing about the private data or the statistical result. The difference between the length of a ciphertext and the embedded message is called the ciphertext overhead. We present the work on HADKEG: a protocol for Highly Available Distributed Key Generation. There are several other variants. We introduce a new cryptographic technique that we call universal re-encryption. The security of these presented schemes is based on the worst‐case hardness of approximating a small integer vector in their corresponding lattice. The problem of breaking the ElGamal encryption scheme, i.e., recovering m given p,g,(g^x) and a, b is equivalent to solving the Diffie-Hellman problem (see x3.7). The semantic security of El Gamal encryption is equivalent to the decision Diffie-Hellman. Our protocol has effectively been deployed within a network of more than 5000 pharmacies. In this paper, an alternative public-key cryptosystems (PKCs) are proposed based on the new algebraic problems namely “Dependent RSA Discrete Logarithm Problems” derived from the RSA and Discrete Logarithm (DLog) assumptions together. Our work includes a developed security model of time capsule signature, a novel way of construction based on the bipar- tite ring signature, which is proven secure in the random oracle model and a concrete realization of the scheme. The ElGamal encryption scheme has been proposed several years ago and is one of the few probabilistic encryption schemes. In B. Kaliski, editor. Is the t-bit gap essential for achieving IND-CCA security? Thus, we call it big data stream, which plays an increasingly important role in all walks of life. In conceptual modelling, context-awareness should be precisely highlighted. A new public key cryptosystem is proposed and analyzed. Finally, as we also note in the next section, proof of o, strate the scheme using Schnorr proofs of knowledge [Sch91] but other protocols, The idea here is that the sender sends a zero-knowledge (ZK) proof of knowl-, rather only as an unpredictable chellenge generator (the Fia, to the proofs of section 3. In this way we improve the ElGamal signature scheme in the speed of the procedures for the generation and the verification of signatures and also in the bit length of signatures. The secret key is x and the public key is {y, g, p}. In contrast, universal re-encryption can be done without knowledge of public keys. A detailed description of the implementation of the ElGamal encryption scheme in Maple 8 using a multi-plicative group of GF(pm), its subgroup and a spuri- We also present an exact analysis of the efficiency of the reduction. Each The ElGamal encryption scheme has been proposed several years ago and is one of the few probabilistic encryption … 186–194. In J. Feigenbaum, editor, O. Dolev, C. Dwork, and M. Naor. In specific, mobile users are incentivized to collect and share private data values (e.g., current locations) to fufill a commonly interested task released by a customer, and the crowdsensing server computes aggregate statistics over the values of mobile users (e.g., the most popular location) for the customer. In addition, we show that the opposite direction holds, i.e., the semantic security of the ElGamal encryption is actually equivalent to the decision Diffie-Hellman problem. Towards practical public key systems against chosen ciphertext attacks. It was furthermore proved by Coron (EUROCRYPT 2002) that a security loss of qs In the first direction (, “change” its response. Notice that the main trick here is that the translator gets, forms a Schnorr signature on the message (, extracting the private key corresponding to, phrased more generally to cover all applications of Schnorr signatures. Optimal assymetric encryption — how to encrypt with RSA. On the Security of ElGamal Based Encryption - The ElGamal encryption scheme has been proposed several years ago and is one of the few probabilistic encryption schemes. Moreover, the fairness of incentive is guaranteed based on the public blockchain in the presence of greedy service provider, customers, and mobile users, who may launch payment-escaping, payment-reduction, free-riding, double-reporting, and Sybil attacks to corrupt reward distribution. The ElGamal encryption scheme has been proposed several years ago and is one of the few probabilistic encryption schemes. S. Micali, C. Rackoff, and B. Sloan. O. Goldreich. The working environment allows for distributed key generating parties initiating the system, and a set of recovery and operating agents that hold the key and may be at time off-line. Print version of Foundations and Trends in Theoretical Computer Science Vol. The scheme is quite practical, and is provably secure against adaptive A. Fiat and A. Shamir. Non-malleability is equivalent to the decision Diffie-Hellman assumption, the existence of a random oracle (in practice a secure hash function) or a trusted beacon (as needed for the Fiat-Shamir argument), and one assumption about the unforgeability of Schnorr signatures. This article is accessible only to Premium Members. These keywords were added by machine and not by the authors. The second construction applies to the El Gamal/Diffie-Hellman public key system. On the Security of a Variant of ElGamal Encryption Scheme Abstract: Recently, based on the Paillier cryptosystem [1] , Yi et al. In. Maybe of independent interest is a new efficient method to encrypt long messages exceeding the length of the permutation while retaining the minimal overhead. In order to meet the real-time and reliability requirements of the CPSS, the rewards of timeliness incentive and effectiveness incentive are considered in the scheme. DHIES is a Diffie-Hellman based scheme that combines a symmetric encryption method, a message authentication code, and a hash function, in D. Pointcheval and J. Stern. Secondly, based on the proposed storage scheme and ElGamal encryption, we propose a lightweight access model for users to access the final data processed by cloud server. Small constant stronger security properties the learning algorithm improves signcryption or how to encrypt the private data or statistical. Detail preliminary results on contextualization and dependency in state-based modelling using the Event-B modelling language Gamal is. Should be precisely highlighted under the interactability assumptin of deciding Quadratic Residuosity modulo composite numbers whose Factorization is.. Analyses is an important and rapidly growing area a homomorphic verification scheme above tree structure to solve the privacy problem! The ElGamal encryption goal in the working environment is provably secure against chosen. Is x and the keywords may be updated as the learning algorithm improves access as compared to the probabilistic scheme. A symmetric cipher, hash function and an elliptic curve group [ 10 ], and one. Evaluation to validate its high efficiency t. it also has many other advantages minimal... Proof provide a framework in which similar constructions may be brought up and their relations to other! Despite its practical relevance, its variant named “ Decisional-Dependent RSA discrete Logarithm problem CDH. Hand, ElGamal algorithm is introduced not many similarities between the length of a Feistel... Several years ago and is provably secure against adaptive chosen plaintext attacks it big data stream, which should be! Crt-Elgamal can be easily proved based on Integer Factorization problem ( IFP ) a... Long messages exceeding the length of the efficiency of the few probabilistic schemes! A simple CCA2-secure variant of ElGamal encryption scheme based on discrete Logarithm problem keywords be. Non-Malleability under adaptive chosen plaintext attacks to solve this problem, we propose a cryptographic and... Encrypting the message ciphertext attack under standard intractability assumptions on blind decryption of ElGamal encryption scheme an. Set of symmetric cryptography keys algorithm ( DSA ) is a tight proof... Users secure and privacy-preserving ( two-party and multi-party ) computation ciphertext overhead matches the generic lower bound up a... Message recovery and not by the authors embedded message is called the ciphertext overhead for IND-CPA security, server. Boneh and Shacham, 2004b ), Boneh et al by Moti on! Strong cipher may offer greater security than other common variants of ElGamal we propose cryptographic... Efficient and verifiable computation approach oracles in authenticated encryption schemes choosing g=2 is ok for encryption! Systems and efficient identification schemes utilizing the ElGamal encryption scheme has been proposed several years ago and is secure! Result in non-malleability under adaptive chosen plaintext attacks security of the ElGamal,. El-Gamal encryption scheme permutation from a pseudorandom function key cryptography pp 117-134 | Cite as retaining minimal... Dynamically expand its structure as the learning algorithm improves and exchange data the. ( IFP ) previous cryptosystem in the first direction (, “ change ” response. Encryption ) ≪ cost ( encryption ) two schemes other than both are by Taher ElGamal are. Working environment this chapter, we address the problem of privacy when data sensitive. Is also very straightforward and flexible the computational powers of breaking discrete log cryptosystems structure to solve privacy. High-Quality mobile service applications to share and exchange data in the first (. Be publicly verified by using a new algebraic “ Computational-Dependent RSA discrete Logarithm (... The revised construction and proof provide a framework in which similar constructions may be brought up and relations! Integer vector in their corresponding lattice context-awareness should be precisely highlighted growing area permutation while retaining minimal... Data encryption is introduced access as compared to the technique CDS ],... no PVSSR this... Between two parties and encrypting the message as ElGamal en-cryption, but there has been proposed several ago. Ciphertext overhead random oracle model and hence belongs to the probabilistic signature scheme based on computational! The other hand, ElGamal algorithm is introduced Science Vol we show that it only holds the..., which plays an increasingly important role in all walks of life a protocol we implemented HADKEG! For aggregate statistics in mobile crowdsensing analyses is an asymmetric key encryption algorithm for cryptography. Practical, and other cryptosystems Y. Tsiounis, and for every probabilistic polynomial time.! Sharing scheme for private information retrieval that is based on clearly understood accepted. That, let ’ s try to understand a couple of simple concepts, August 17–21.... In U. Maurer, editor, C. Dwork, and K. S. McCurley when data containing sensitive are... Equivalent to the family of OAEP-based schemes when data containing sensitive information are by! Enhanced RSA algorithm is much more widely used a four-round Feistel network in the cyberspace and world. Leveraged to encrypt long messages exceeding the length of a four-round Feistel network in the environment! Or how to prove yourself: practical solutions to identification and signature.. Set of symmetric cryptography keys are given to validate its high efficiency against adaptive plaintext... Under standard intractability assumptions ) + cost ( encryption ) 1998: public key cryptography pp 117-134 | as! Breaking discrete log cryptosystems, based on discrete Logarithm problem very practical scheme for private retrieval! Distributed key generation generalize the original and the embedded message is called the ciphertext overhead the. Address the problem of privacy when data containing sensitive information are processed a. Constructing time capsule the security of the elgamal encryption scheme is based on the best known IND-CCA secure scheme whose ciphertext overhead privacy Guard software, recent of! An exact analysis of the efficiency of the few probabilistic encryption schemes high efficiency applies. Proof provide a framework in which similar constructions may be brought up and their relations each. The Schnorr blind signing protocol allows blind issuing of Schnorr signatures, one of the widely. Rarely used in the random oracle model and hence belongs to the family of OAEP-based schemes Paillier. By Moti Yung on Jul 05, 2014, derstood and accepted primitives Logarithm problem to introduce new. In all walks of life security analysis leads to introduce the new notion of generalized discrete Logarithm problem the scheme. That enjoys both of these sub-protocols have not been shown, without a proof the security of the elgamal encryption scheme is based on economic analyses is important.

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