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Article · Cryptography · July 8, 2024

Lattice-Based Post-Quantum Public Key Encryption Scheme Using ElGamal’s Principles

Dana Sairangazhykyzy Amirkhanova, Maksim Iavich, Orken J. Mamyrbayev

Abstract

Modern technologies like quantum and cloud computing have reshaped computing, offering immense power and scalability. While beneficial, they also challenge the security of traditional cryptographic systems. Quantum computing threatens RSA and ECC with algorithms like Shor’s algorithm, which can accelerate computations exponentially. This risks exposing these systems to attacks, necessitating quantum-resistant cryptography. Cloud computing poses data security concerns, requiring robust cryptographic mechanisms and access controls. Lattice-based cryptography, leveraging problems like the Short Integer Solution (SIS), emerges as a solution. This paper presents a novel quantum-resistant public key encryption scheme based on ElGamal and SIS, ensuring security against quantum and classical threats in modern cryptographic environments.

Cryptography and Data SecurityQuantum Information and CryptographyCryptography and Residue Arithmeticlattice-based cryptographypost-quantum cryptographypublic-key encryption

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