Paillier's cryptosystem revisited
WebIn particular, the HOT protocol will be what we call weakly secure when coupled with many different homomorphic semantically secure public-key cryptosystems. Based on the HOT protocol, we construct an efficient verifiable oblivious transfer protocol and an efficient verifiable private equality test. As a concrete application of our results, we ... WebJan 6, 2003 · We propose a practical scheme based on factoring and semantically secure (IND-CPA) in the standard model. The scheme is obtained from a modi.cation of the so …
Paillier's cryptosystem revisited
Did you know?
Web2 Paillier Encryption Paillier’s public key encryption scheme is based on the Composite Residuosity Class Problem. We begin with the following de nition: De nition 1. A number z is said to be the n-th residue modulo n2 if there exists a number y2Z n2 such that z= ynmod n2: The problem of deciding n-th residuosity, i.e. distinguishing n-th ... WebWe re-examine Paillier's cryptosystem, and show that by choosing a particular discrete log base g, and by introducing an alternative decryption procedure, we can extend the scheme …
WebSep 27, 2009 · Choi et al. proposed the modified Paillier cryptosystem (M-Paillier cryptosystem). They use a special public-key g ∈ ℤ/nℤ such that g ϕ(n) = 1 + n mod n 2, where n is the RSA modulus. WebA generalisation, a simplification and some applications of Paillier’s probabilistic public-key system. In: Kim, K. (ed.) PKC 2001, LNCS, vol. 1992, pp. 119–136. Springer (2001). Google …
WebApr 14, 2024 · Applying a homomorphic cryptosystem in a real-world application depends on its resource efficiency. ... 5.3.1 Paillier encryption. In Paillier cryptosystem, although the input is N, the cipher space or ciphertext ... Revisiting Shor’s quantum algorithm for computing general discrete logarithms. In: arXiv preprint arXiv:1905. ... http://ijns.jalaxy.com.tw/contents/ijns-v19-n1/ijns-2024-v19-n1-p91-98.pdf
Web226 Pascal Paillier We denote by B ˆ Z the set of elements of order n2 n and by B their disjoint union for =1; ; . Proof. Since the two groups Z n and n2 have the same number of …
WebJul 29, 2024 · Paillier Cryptosystem Scheme. Paillier Cryptosystem is a type of an asymmetric keypair-based encryption scheme, similar to RSA. However, unlike many other … firefly last of us symbolWebApr 20, 2024 · 2 Answers. This can be done by using a zero-knowledge proof to prove that a Paillier ciphertext is an encryption of zero. Specifically, let c be the original ciphertext, and … ethan allen stacking stoolsWebgeneralized Paillier’s scheme can be used in smart grid instead of Paillier’s scheme for higher flexibility. INDEX TERMS Paillier’s scheme, IND-CPA secure, discrete logarithm problem, ciphertext expansion factor I. INTRODUCTION P UBLIC key cryptosystem (PKC) is one of the most fun-damental cryptographic primitives. In 1982, Goldwasser ethan allen staffing poughkeepsieWebWe re-examine Paillier's cryptosystem, and show that by choosing a particular discrete log base g, and by introducing an alternative decryption procedure, we can extend the scheme to allow an arbitrary exponent e instead of N.The use of low exponents substantially increases the efficiency of the scheme. firefly la studio cityhttp://ijns.jalaxy.com.tw/contents/ijns-v19-n1/ijns-2024-v19-n1-p91-98.pdf ethan allen stencilled writing deskWebPaillier algorithm is one of the homomorphic cryptosystem which is widely used in most voting systems. It is a probabilistic asymmetric algorithm for public key cryptography, … ethan allen square glass top coffee tableWebIn the spirit of earlier encryption schemes suggested by Goldwasser–Micali, Benaloh, Naccache–Stern, and Okamoto–Uchiyama, Paillier proposed in 1999 a public-key … firefly last of us