Crypto Code Constructions in Post-Quantum Cryptography

The development of a full-scale quantum computer calls into question the stability of modern cryptosystems. Thus, all asymmetric cryptosystems can be compromised (hacked) based on Shor's quantum algorithm (possibly also digital signature algorithms on asymmetric cryptosystems, including those using elliptic curve cryptography). Using Grover's quantum algorithm will be able to hack symmetric encryption algorithms, including the AES-128 cipher. In the conditions of the post-quantum period of evolution, algorithms of post-quantum cryptography are developing. Among the winners of the NIST competition for algorithms of post-quantum cryptography, a special place is occupied by crypto-code structures that not only ensure authenticity, but are also capable of integrated confidentiality and integrity. At the same time, the use of noise-resistant codes allows "additional" provision of reliability. In addition, in terms of the speed of cryptographic transformations, crypto-code structures provide a speed at the level of modern algorithms of symmetric cryptography.

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Published
2025-05-23
DOI
https://doi.org/10.1109/ichora65333.2025.11016982
Primary Topic
Coding theory and cryptography
Type
article
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Crypto Code Constructions in Post-Quantum Cryptography

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article en

Abstract

The development of a full-scale quantum computer calls into question the stability of modern cryptosystems. Thus, all asymmetric cryptosystems can be compromised (hacked) based on Shor's quantum algorithm (possibly also digital signature algorithms on asymmetric cryptosystems, including those using elliptic curve cryptography). Using Grover's quantum algorithm will be able to hack symmetric encryption algorithms, including the AES-128 cipher. In the conditions of the post-quantum period of evolution, algorithms of post-quantum cryptography are developing. Among the winners of the NIST competition for algorithms of post-quantum cryptography, a special place is occupied by crypto-code structures that not only ensure authenticity, but are also capable of integrated confidentiality and integrity. At the same time, the use of noise-resistant codes allows "additional" provision of reliability. In addition, in terms of the speed of cryptographic transformations, crypto-code structures provide a speed at the level of modern algorithms of symmetric cryptography.

Ternopil Ivan Pului National Technical University (UA), National Technical University "Kharkiv Polytechnic Institute" (UA)
Openalex Percentile: Top 94%
Coding theory and cryptography
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