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A New Code-Based Cryptosystem
Ch. 3. P. 41-49.
Unlike most papers devoted to improvements of code-based cryptosystem, where original Goppa codes are substituted by some other codes, we suggest a new method of strengthening which is code-independent. We show (up to some limit) that the security of the new code-based cryptosystem is much closer to the hardness of maximum likelihood decoding than in the original McEliece cryptosystem.
In book
Ivanov F., Krouk E., Kabatiansky G. A., Rumenko N. Springer, 2020
Zyablov V., Ivanov F., Krouk E. et al., Problems of Information Transmission 2022 Vol. 58 No. 2 P. 184-201
We consider the problem of constructing a cryptosystem with a public key based on error-resistant coding. At present, this type of cryptosystems is believed to be able to resist the advent of quantum computers and can be considered as a method of post-quantum cryptography. The main drawback of a code-based cryptosystem is a great length ...
Added: October 26, 2022
Ivanov F., Krouk E., Kabatiansky G. A. et al., Lecture Notes in Computer Science 2020 Vol. 12087 P. 41-49
Unlike most papers devoted to improvements of code-based cryptosystem, where original Goppa codes are substituted by some other codes, we suggest a new method of strengthening which is code-independent. We show (up to some limit) that the security of the new code-based cryptosystem is much closer to the hardness of maximum likelihood decoding than in the ...
Added: September 17, 2020
Ivanov F., Krouk E., Zyablov V., , in : 2021 XVII International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY). : IEEE, 2021.
McEliece cryptosystem represents a smart open key
system based on the hardness of the decoding of an arbitrary
linear code, which is believed to be able to resist the advent
of quantum computers. But the original McEliece cryptosystem,
based on Goppa codes, has just very limited interest in practice,
partly because it requires a very large public key. In this ...
Added: November 30, 2021
Ivanov F., Krouk E., Kabatiansky G. A. et al., Springer, 2020
Unlike most papers devoted to improvements of code-based cryptosystem, where original Goppa codes are substituted by some other codes, we suggest a new method of strengthening which is code-independent. We show (up to some limit) that the security of the new code-based cryptosystem is much closer to the hardness of maximum likelihood decoding than in the ...
Added: September 17, 2020
Terry S. C., Ivanov F., Muhammad R. K. et al., Journal of Information Security and Applications 2023 Vol. 76 Article 103530
One main construct for code-based public key cryptosystems is the McEliece framework that hedges upon the hardness of decoding arbitrary linear codes. Based on Goppa codes, the original McEliece cryptosystem however, suffers from having very large public keys. To alleviate this problem, we define a new IKKR problem that is is NP-complete and use this assumption of the intracability if the ...
Added: December 28, 2022
Исаева М. Н., Ovchinnikov A., Научно-технический вестник информационных технологий, механики и оптики 2024 Т. 24 № 1 С. 70-80
The most important method of ensuring data integrity is correcting errors that occur during information storage,
processing or transmission. The error-correcting coding methods are used to correct errors. In real systems, noise
processes are correlated. However, traditional coding and decoding methods use decorrelation, and it is known that
this procedure reduces the maximum achievable characteristics of coding. Thus, ...
Added: March 4, 2024
Kuvshinov A., Ivanov F., , in : Proceedings of VII International Conference «Engineering & Telecommunication — En&T-2021. : IEEE, 2021. P. 1-5.
We regard a novel code construction for a special class of non-orthogonal multiple access system over vector-disjunctive channel when users send some vectors of bits with length L. We suggest specific encoding and decoding algorithms for such transmission cases. Our encoding algorithm is represented by concatenated code construction with a combination of interleaved BCH code and ...
Added: November 30, 2021