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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| Items | – Name: Title Label: Title Group: Ti Data: Algebraic attacks for the rank decoding problem – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bardet%2C+Magali%22">Bardet, Magali</searchLink> – Name: Author Label: Contributors Group: Au 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) – Name: TitleSource Label: Source Group: Src 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>. – Name: Publisher Label: Publisher Information Group: PubInfo Data: CCSD – Name: DatePubCY Label: Publication Year Group: Date Data: 2024 – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Gröbner+bases%22">Gröbner bases</searchLink><br /><searchLink fieldCode="DE" term="%22MinRank+problem%22">MinRank problem</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+attack%22">Algebraic attack</searchLink><br /><searchLink fieldCode="DE" term="%22Rank-metric+decoding+problems%22">Rank-metric decoding problems</searchLink><br /><searchLink fieldCode="DE" term="%22[INFO%2EINFO-SC]Computer+Science+[cs]%2FSymbolic+Computation+[cs%2ESC]%22">[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]</searchLink><br /><searchLink fieldCode="DE" term="%22[INFO%2EINFO-CR]Computer+Science+[cs]%2FCryptography+and+Security+[cs%2ECR]%22">[INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR]</searchLink> – Name: Subject Label: Subject Geographic Group: Su Data: <searchLink fieldCode="DE" term="%22CIRM%22">CIRM</searchLink><br /><searchLink fieldCode="DE" term="%22Luminy%22">Luminy</searchLink><br /><searchLink fieldCode="DE" term="%22Marseille%22">Marseille</searchLink><br /><searchLink fieldCode="DE" term="%22France%22">France</searchLink> – Name: Abstract Label: Description Group: Ab 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. – Name: TypeDocument Label: Document Type Group: TypDoc Data: lecture – Name: Language Label: Language Group: Lang Data: English – Name: DOI Label: DOI Group: ID Data: 10.24350/CIRM.V.20148503 – Name: URL Label: Availability Group: URL 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 – Name: Copyright Label: Rights Group: Cpyrght Data: info:eu-repo/semantics/OpenAccess – Name: AN Label: Accession Number Group: ID Data: edsbas.A722C3BD |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.24350/CIRM.V.20148503 Languages: – Text: English Subjects: – SubjectFull: CIRM Type: general – SubjectFull: Luminy Type: general – SubjectFull: Marseille Type: general – SubjectFull: France Type: general – SubjectFull: Gröbner bases Type: general – SubjectFull: MinRank problem Type: general – SubjectFull: Algebraic attack Type: general – SubjectFull: Rank-metric decoding problems Type: general – SubjectFull: [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC] Type: general – SubjectFull: [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR] Type: general Titles: – TitleFull: Algebraic attacks for the rank decoding problem Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bardet, Magali – PersonEntity: Name: NameFull: Equipe Combinatoire et algorithmes (LITIS - CA) – PersonEntity: Name: NameFull: Laboratoire d'Informatique, du Traitement de l'Information et des Systèmes (LITIS) – PersonEntity: Name: NameFull: Université Le Havre Normandie (ULH) – PersonEntity: Name: NameFull: Normandie Université (NU)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN) – PersonEntity: Name: NameFull: Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie) – PersonEntity: Name: NameFull: Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Université Le Havre Normandie (ULH) – PersonEntity: Name: NameFull: Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA) – PersonEntity: Name: NameFull: ANR-22-PETQ-0008,PQ-TLS,Post-quantum padlock for web browser(2022) IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2024 Identifiers: – Type: issn-locals Value: edsbas – Type: issn-locals Value: edsbas.oa Titles: – TitleFull: https://hal.science/hal-04986106 ; École thématique. Journées Nationales de Calcul Formel, CIRM, Luminy, Marseille, France. 2024 ; Journées Nationales de Calcul Formel Type: main |
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