Security of generalised Reed–Solomon code-based cryptosystems

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Bibliographic Details
Title: Security of generalised Reed–Solomon code-based cryptosystems
Authors: Baldi, Marco, Chiaraluce, Franco, Rosenthal, Joachim, Santini, Paolo, SCHIPANI, DAVIDE MOSE
Contributors: Baldi, Marco, Chiaraluce, Franco, Rosenthal, Joachim, Santini, Paolo, Schipani, DAVIDE MOSE
Publication Year: 2019
Collection: Università Politecnica delle Marche: IRIS
Subject Terms: Code-based cryptosystem, Generalized Reed-Solomon code, Post-quantum cryptography
Description: In this study, the authors elaborate on a recently proposed variant of the public-key McEliece and Niederreiter cryptosystems using generalised Reed–Solomon (GRS) codes as private codes. The use of these codes brings known advantages in terms of public key size, but particular care is needed in the choice of parameters not to endanger the system security. In fact, the considered system exploits a strong disguising technique of the private code within the public code. However, it has recently been pointed out that some new attacks exist which may threaten some instances of such a system, therefore the choice of parameters needs to consider some further constraints compared to the original version. After outlining these constraints, the authors propose a new modification of the system achieving greater flexibility in the parameter choice. Moreover, the new system exhibits a lower complexity than the original GRS code-based system. Its very competitive features such as key size and encryption rate are highlighted with respect to classic systems.
Document Type: article in journal/newspaper
File Description: ELETTRONICO
Language: English
Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:000471673200013; volume:13; issue:4; firstpage:404; lastpage:410; numberofpages:7; journal:IET INFORMATION SECURITY; https://hdl.handle.net/11566/263712
DOI: 10.1049/iet-ifs.2018.5207
Availability: https://hdl.handle.net/11566/263712
https://doi.org/10.1049/iet-ifs.2018.5207
Accession Number: edsbas.2EC4B578
Database: BASE
Description
Abstract:In this study, the authors elaborate on a recently proposed variant of the public-key McEliece and Niederreiter cryptosystems using generalised Reed–Solomon (GRS) codes as private codes. The use of these codes brings known advantages in terms of public key size, but particular care is needed in the choice of parameters not to endanger the system security. In fact, the considered system exploits a strong disguising technique of the private code within the public code. However, it has recently been pointed out that some new attacks exist which may threaten some instances of such a system, therefore the choice of parameters needs to consider some further constraints compared to the original version. After outlining these constraints, the authors propose a new modification of the system achieving greater flexibility in the parameter choice. Moreover, the new system exhibits a lower complexity than the original GRS code-based system. Its very competitive features such as key size and encryption rate are highlighted with respect to classic systems.
DOI:10.1049/iet-ifs.2018.5207