Secure public key encryption and key encapsulation mechanism based on group ring learning with errors problem

In this paper, our main aim is to propose a group ring analogue of the well-known learning with errors problem and discuss its security. Using this novel problem, we construct IND-CPA secure public key encryption scheme and IND-CCA secure key encapsulation mechanism. We also discuss a toy example relevant to our encryption scheme.

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Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2024-12-19
DOI
https://doi.org/10.47974/jdmsc-2131
Primary Topic
graph theory and CDMA systems
Type
article
Field-Weighted Citation Impact
0.00
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Secure public key encryption and key encapsulation mechanism based on group ring learning with errors problem

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1 links
Journal of Discrete Mathematical Sciences and Cryptography
graph theory and CDMA systems
article

Secure public key encryption and key encapsulation mechanism based on group ring learning with errors problem

Gaurav Mittal, Sunil Kumar, Yahya Tamimi Ishita Gupta, Shiv Narain, Sandeep Kumar
article en

Abstract

In this paper, our main aim is to propose a group ring analogue of the well-known learning with errors problem and discuss its security. Using this novel problem, we construct IND-CPA secure public key encryption scheme and IND-CCA secure key encapsulation mechanism. We also discuss a toy example relevant to our encryption scheme.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(7)
Peace, Justice and strong institutions
Openalex Percentile: Top 78%
graph theory and CDMA systems
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