An applications of signed quadratic residues in public key cryptography-Reference-Cited by-同舟云学术

An applications of signed quadratic residues in public key cryptography

Published:2018-12 Issue:06 Volume:10 Page:1850081
ISSN:1793-8309
Container-title:Discrete Mathematics, Algorithms and Applications
language:en
Short-container-title:Discrete Math. Algorithm. Appl.

Author:

Goswami Pinkimani¹^ORCID,Singh Madan Mohan²

Affiliation:

1. Department of Mathematics, School of Applied Sciences, University of Science & Technology, Meghalaya, India

2. Department of Basic Sciences and Social Sciences, North-Eastern Hill University, Shillong, Meghalaya, India

Abstract

At Eurocrypt ’02, Cramer and Shoup introduced the idea of public key encryption schemes with double decryption mechanism (DD-PKE) and at Asiacrypt ’03, Bresson, Catalano and Pointcheval revisited the notion of DD-PKE. They proposed the first DD-PKE scheme (called BCP cryptosystem) over the group of quadratic residues. In this paper, we point out an attack against BCP cryptosystem and propose a secure variant constructed over the group of signed quadratic residues (SQR).

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793830918500817

Reference7 articles.

1. A Survey of Homomorphic Encryption for Nonspecialists

2. On the security of public key cryptosystems with a double decryption mechanism

3. Probabilistic encryption

4. Practical Chosen Ciphertext Secure Encryption from Factoring

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