Algebraic attacks for the rank decoding problem

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Název: Algebraic attacks for the rank decoding problem
Autoři: Bardet, Magali
Přispěvatelé: Equipe Combinatoire et algorithmes (LITIS - CA), Laboratoire d'Informatique, du Traitement de l'Information et des Systèmes (LITIS), Université Le Havre Normandie (ULH), Normandie Université (NU)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN), Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Université Le Havre Normandie (ULH), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA), ANR-22-PETQ-0008,PQ-TLS,Post-quantum padlock for web browser(2022)
Zdroj: https://hal.science/hal-04986106 ; École thématique. Journées Nationales de Calcul Formel, CIRM, Luminy, Marseille, France. 2024 ; Journées Nationales de Calcul Formel.
Informace o vydavateli: CCSD
Rok vydání: 2024
Témata: Gröbner bases, MinRank problem, Algebraic attack, Rank-metric decoding problems, [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC], [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR]
Geografické téma: CIRM, Luminy, Marseille, France
Popis: École thématique ; Algebraic cryptanalysis has become unavoidable in the cryptanalysis and design of schemes in cryptography. In the first part, I explain what is a good algebraic modeling, and how we can estimate the complexity of solving a polynomial system with Gröbner basis. In the second part, I present different algebraic modelings for the decoding problem in rank metric code-based cryptography, and their complexity analysis.
Druh dokumentu: lecture
Jazyk: English
DOI: 10.24350/CIRM.V.20148503
Dostupnost: https://hal.science/hal-04986106
https://hal.science/hal-04986106v1/document
https://hal.science/hal-04986106v1/file/Bardet-part1.pdf
https://doi.org/10.24350/CIRM.V.20148503
Rights: info:eu-repo/semantics/OpenAccess
Přístupové číslo: edsbas.A722C3BD
Databáze: BASE
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  Data: Equipe Combinatoire et algorithmes (LITIS - CA)<br />Laboratoire d'Informatique, du Traitement de l'Information et des Systèmes (LITIS)<br />Université Le Havre Normandie (ULH)<br />Normandie Université (NU)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN)<br />Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie)<br />Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Université Le Havre Normandie (ULH)<br />Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)<br />ANR-22-PETQ-0008,PQ-TLS,Post-quantum padlock for web browser(2022)
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  Data: <i>https://hal.science/hal-04986106 ; École thématique. Journées Nationales de Calcul Formel, CIRM, Luminy, Marseille, France. 2024 ; Journées Nationales de Calcul Formel</i>.
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  Data: École thématique ; Algebraic cryptanalysis has become unavoidable in the cryptanalysis and design of schemes in cryptography. In the first part, I explain what is a good algebraic modeling, and how we can estimate the complexity of solving a polynomial system with Gröbner basis. In the second part, I present different algebraic modelings for the decoding problem in rank metric code-based cryptography, and their complexity analysis.
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  Data: https://hal.science/hal-04986106<br />https://hal.science/hal-04986106v1/document<br />https://hal.science/hal-04986106v1/file/Bardet-part1.pdf<br />https://doi.org/10.24350/CIRM.V.20148503
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      – SubjectFull: Luminy
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      – SubjectFull: Gröbner bases
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