Encryption method based on codes

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dc.citation.epage31
dc.citation.issue1
dc.citation.journalTitleДосягнення у кібер-фізичних системах
dc.citation.spage24
dc.contributor.affiliationWest Ukrainian National University
dc.contributor.affiliationUniversity of the National Education Commission
dc.contributor.authorDavletova, Alina
dc.contributor.authorYatskiv, Vasyl
dc.contributor.authorIvasiev, Stepan
dc.contributor.authorKarpinskyi, Mykola
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2025-03-17T10:08:01Z
dc.date.created2024-02-27
dc.date.issued2024-02-27
dc.description.abstractThis paper proposes an improvement of the McEliece asymmetric cryptosystem based on code-based cryptography by replacing the permutation matrix with a modulo operation and using a finite field GF(q). This approach increases the complexity of the decryption process for potential attackers, providing a high level of cryptographic security without changing the length of the key. The article provides a diagram of the improved operation of the cryptosystem and describes examples of application. An analysis of the number of possible combinations of matrices has been carried out for different implementation options of code (7,4) based on different numerical systems. It has been shown that achieving cryptographic security comparable to the original McEliece cryptosystem requires the use of q≥5.
dc.format.extent24-31
dc.format.pages8
dc.identifier.citationEncryption method based on codes / Davletova Alina, Yatskiv Vasyl, Ivasiev Stepan, Karpinskyi Mykola // Advances in Cyber-Physical Systems. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 9. — No 1. — P. 24–31.
dc.identifier.citationenEncryption method based on codes / Davletova Alina, Yatskiv Vasyl, Ivasiev Stepan, Karpinskyi Mykola // Advances in Cyber-Physical Systems. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 9. — No 1. — P. 24–31.
dc.identifier.doidoi.org/10.23939/acps2024.01.024
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/64188
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofДосягнення у кібер-фізичних системах, 1 (9), 2024
dc.relation.ispartofAdvances in Cyber-Physical Systems, 1 (9), 2024
dc.relation.references[1] Dam, D. T., Tran, T. H., Hoang, V. P., Pham, C. K., & Hoang, T. T. (2023). A survey of post-quantum cryptography: Start of a new race. Cryptography, 7(3), 40. DOI: 10.3390/cryptography 7030040
dc.relation.references[2]Kichna, A., & Farchane, A. (2023, May). Secure and efficient code-based cryptography for multi-party computation and digital signatures. In Computer Sciences & Mathematics Forum (Vol. 6, No. 1, p. 1). MDPI. DOI: 10.3390/cmsf2023006001
dc.relation.references[3]Esser, A., May, A., & Zweydinger, F. (2022, May). McEliece needs a break–solving McEliece-1284 and quasi-cyclic-2918 with modern ISD. In Annual International Conference on the Theory and Applications of Cryptographic Techniques (pp. 433–457). Cham: Springer International Publishing. DOI: 10.1007/978-3-031-07082-2_16
dc.relation.references[4]Yevseiev, S., Korol, O., Pohasii, S., & Khvostenko, V. (2021, September). Evaluation of cryptographic strength and energy intensity of design of modified crypto-code structure of McEliece with modified Elliptic codes. III International Scientific and Practical Conference “Information Security And Information Technologies”, Odesa, Ukraine, September 13–19, 2021, Vol. 3200, 144–157. ISSN 1613-0073. https://ceurws.org/Vol-3200/paper20.pdf.
dc.relation.references[5]Parashar, A., & Jadiya, D. Enhanced McEliece Algorithm for post-quantum cryptosystems. DOI: 10.13140/RG.2.2.22002.93125.
dc.relation.references[6]Bindal, E., & Singh, A. K. (2024). Secure and compact: A new variant of McEliece Cryptosystem. IEEE Access. DOI: 10.1109/ACCESS.2024.3373314.
dc.relation.references[7]Yevseiev, S., Korol, O., & GavrilovA, A. (2019). Development of authentication codes of messages on the basis of UMAC with crypto-code McEliece’s scheme. International Journal of 3D printing technologies and digital industry, 3(2), 153–170.
dc.relation.references[8] McEliece, R. J. (1978). A public-key cryptosystem based on algebraic. Coding Thv, 4244, 114–116.
dc.relation.references[9] Isakov, D. A., & Sokolov, A. V. (2022). McEliece cryptosystem based on quaternary hamming codes. Informatics & Mathematical Methods in Simulation, 12(4). 280–287. DOI: 10.15276/imms.v12.no4.280
dc.relation.references[10] Freudenberger, J., & Thiers, J. P. (2021). A new class of qary codes for the McEliece cryptosystem. Cryptography, 5(1), 11. DOI: 10.3390/cryptography5010011.
dc.relation.references[11] Ukwuoma H., Gabriel A., Thompson A., Boniface A. (2022) Post-quantum cryptography-driven security framework for cloud computing. Open Computer Science, 12(1), 142–153. DOI: 10.1515/comp-2022-0235.
dc.relation.references[12] Kabeya T. (2019). McEliece’s Crypto System based on the Hamming Cyclic Codes. International Journal of Innovative Science and Research Technology, 4(7). 293–296.
dc.relation.referencesen[1] Dam, D. T., Tran, T. H., Hoang, V. P., Pham, C. K., & Hoang, T. T. (2023). A survey of post-quantum cryptography: Start of a new race. Cryptography, 7(3), 40. DOI: 10.3390/cryptography 7030040
dc.relation.referencesen[2]Kichna, A., & Farchane, A. (2023, May). Secure and efficient code-based cryptography for multi-party computation and digital signatures. In Computer Sciences & Mathematics Forum (Vol. 6, No. 1, p. 1). MDPI. DOI: 10.3390/cmsf2023006001
dc.relation.referencesen[3]Esser, A., May, A., & Zweydinger, F. (2022, May). McEliece needs a break–solving McEliece-1284 and quasi-cyclic-2918 with modern ISD. In Annual International Conference on the Theory and Applications of Cryptographic Techniques (pp. 433–457). Cham: Springer International Publishing. DOI: 10.1007/978-3-031-07082-2_16
dc.relation.referencesen[4]Yevseiev, S., Korol, O., Pohasii, S., & Khvostenko, V. (2021, September). Evaluation of cryptographic strength and energy intensity of design of modified crypto-code structure of McEliece with modified Elliptic codes. III International Scientific and Practical Conference "Information Security And Information Technologies", Odesa, Ukraine, September 13–19, 2021, Vol. 3200, 144–157. ISSN 1613-0073. https://ceurws.org/Vol-3200/paper20.pdf.
dc.relation.referencesen[5]Parashar, A., & Jadiya, D. Enhanced McEliece Algorithm for post-quantum cryptosystems. DOI: 10.13140/RG.2.2.22002.93125.
dc.relation.referencesen[6]Bindal, E., & Singh, A. K. (2024). Secure and compact: A new variant of McEliece Cryptosystem. IEEE Access. DOI: 10.1109/ACCESS.2024.3373314.
dc.relation.referencesen[7]Yevseiev, S., Korol, O., & GavrilovA, A. (2019). Development of authentication codes of messages on the basis of UMAC with crypto-code McEliece’s scheme. International Journal of 3D printing technologies and digital industry, 3(2), 153–170.
dc.relation.referencesen[8] McEliece, R. J. (1978). A public-key cryptosystem based on algebraic. Coding Thv, 4244, 114–116.
dc.relation.referencesen[9] Isakov, D. A., & Sokolov, A. V. (2022). McEliece cryptosystem based on quaternary hamming codes. Informatics & Mathematical Methods in Simulation, 12(4). 280–287. DOI: 10.15276/imms.v12.no4.280
dc.relation.referencesen[10] Freudenberger, J., & Thiers, J. P. (2021). A new class of qary codes for the McEliece cryptosystem. Cryptography, 5(1), 11. DOI: 10.3390/cryptography5010011.
dc.relation.referencesen[11] Ukwuoma H., Gabriel A., Thompson A., Boniface A. (2022) Post-quantum cryptography-driven security framework for cloud computing. Open Computer Science, 12(1), 142–153. DOI: 10.1515/comp-2022-0235.
dc.relation.referencesen[12] Kabeya T. (2019). McEliece’s Crypto System based on the Hamming Cyclic Codes. International Journal of Innovative Science and Research Technology, 4(7). 293–296.
dc.relation.urihttps://ceurws.org/Vol-3200/paper20.pdf
dc.rights.holder© Національний університет “Львівська політехніка”, 2024
dc.rights.holder© Davletova A., Yatskiv V., Ivasiev S., Karpinskyі M., 2024
dc.subjectAsymmetric cryptosystem
dc.subjectCode-based cryptography
dc.subjectComputational complexity
dc.subjectData encryption
dc.subjectFinite field
dc.titleEncryption method based on codes
dc.typeArticle

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Advances In Cyber-Physical Systems. – 2024. – Vol. 9, No. 1