Open Access
Research Article
New McEliece cryptosystem based on non-permutation equivalent polar codes
*Belkacem ImineCorresponding authorimine.belkacem@gmail.combelkacem.imine@univ-usto.dzLaboratory of Coding and Security of Information (LACOSI)Faculty of Electrical Engineering(USTO) 1505 Oran M’Naouer 31000University of Science and Technology of OranAlgeriaView full profile → , Naima Hadj-Saidnaima.hadjsaid@univ-usto.dzFaculty of Computer Science1505 Oran M’Naouer 31000University of Science and Technology of Oran (USTO)AlgeriaView full profile → , Adda Ali-Pachaadda.alipacha@univ-usto.dzLaboratory of Coding and Security of Information (LACOSI)Faculty of Electrical Engineering(USTO) 1505 Oran M’Naouer 31000University of Science and Technology of OranAlgeriaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 30 Sep 2020
- Accepted:
- 28 Feb 2021
- Published Online:
- 02 Aug 2021
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1312
- Pages:
- 103–114
Abstract
In this paper, we propose a new McEliece public-key cryptosystem based on polar codes with non-permutation equivalent. Due to the fact that polar code is a decreasing monomial code, any permutation of columns of its generator matrix can be found. Thus, any McEliece cryptosystem based on only the permutation equivalent of the standard polar code seems to be insecure against some structural attacks. In contrast, our proposed scheme is able to resist against these attacks and achieves good security level against the generic decoding attacks.
Keywords
Subject Classifications
94A6011T7114G50
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