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A study on the fast ElGamal encryption     RSA  ElGamal  public key       2018/11/8
ElGamal cryptosystem is typically developed in the multiplicative group Z∗pZp∗ (pp is a prime number), but it can be applied to the other groups in which discrete logarithm problem should ...
In 2005, Yen et al. proposed the first N−1N−1 attack on the modular exponentiation algorithms such as BRIP and square-and-multiply-always methods. This attack makes use of the ciphertext N...
Other free sums are 1-way under plausible assumptions: elliptic curve discrete logs, integer factoring, and secure small-key Wegman--Carter--Shoup authentication. Yet other free sums of 1-way function...
Leakage-resilient cryptography aims to extend the rigorous guarantees achieved through the provable security paradigm to physical implementations. The constructions and mechanisms designed on basis ...
We design in this paper the first attribute-based cryptosystems that work in the classical Discrete Logarithm, pairing-free, setting. The attribute-based signature scheme can be seen as an extension ...
The well-known Signed ElGamal scheme consists of ElGamal encryption with a non-interactive Schnorr proof of knowledge. While this scheme should be intuitively secure against chosen-ciphertext attack...
This paper addresses the secure outsourcing problem for large-scale matrix computation to a public cloud. We propose a novel public-key weave ElGamal encryption (WEE) scheme for encrypting a matrix ...
Leakage resilient cryptography aims to address the issue of inadvertent and unexpected information leakages from physical cryptographic implementations. At Asiacrypt 2010, E.Kiltz et al. [1] presented...
Can one use the discrete logarithm problem in matrix groups, to build a better and secure cryptosystem? We argue, it is indeed the case. This makes the group of circulant matrices suitable and attract...
The privacy preserving multiset union (PPMU) protocol allows a set of parties, each with a multiset, to collaboratively compute a multiset union secretly, meaning that any information other than uni...
We establish the complete complexity landscape surrounding CCA1-security of Elgamal and Damg°ard’s Elgamal (DEG). Denote by XY [i] the assumption that the adversary, given a non-adaptive oracle acces...
In this paper, we discuss the security of the ElGamal encryption scheme and its variant by Damg°ard. For the ElGamal encryption, we show that (1) under the generalized knowledge-of-exponent assumpti...
In this paper I study the MOR cryptosystem using the special linear group over finite fields. At our current state of knowledge, I show that the MOR cryptosystem is more secure than the ElGamal cry...
为了加强ElGamal型数字签名方案的安全性,最近祁明等人对两类ElGamal型数字签名方案的安全性和基于两类签名方案的通行字认证方案进行了分析和讨论,并且提出了两类改进型的方案。本文首先指出了他们提出的第一个p型方案是不安全的,攻击者可以伪造任意消息的数字签名。本文证明了广义ElGamal型数字签名方案都不能抵御代换攻击。本文最后还证明了他们提出的两类改进型方案也不能抵御同态攻击,因而并不具有所...
可公开验证加密允许任何实体验证加密的消息和先前承诺的秘密一样,但不会泄漏明文的任何信息。这在公平交换、防欺骗的秘密分享和安全多方计算中有重要应用。该文分别给出可公开验证的ElGamal加密和RSA加密方案。其中前者是Stalderr方案的改进,改进后的方案是语义安全的而Stalder方案达不到语义安全性。同时将该方案推广到了多个接受者的情形,最后给出了高效的可公开验证RSA加密方案。

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