Algebraic Relation of Three MinRank Algebraic Modelings

Hao Guo; Jintai Ding

doi:10.1007/978-3-031-22944-2_15

Algebraic Relation of Three MinRank Algebraic Modelings

Hao Guo, Jintai Ding^*

^*Corresponding author for this work

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

1 Citation (Scopus)

Abstract

We give algebraic relations among equations of three algebraic modelings for MinRank problem: support minors modeling, Kipnis–Shamir modeling and minors modeling.

Original language	English
Title of host publication	Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers
Editors	Sihem Mesnager, Sihem Mesnager, Zhengchun Zhou
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	239-249
Number of pages	11
ISBN (Print)	9783031229435
DOIs	https://doi.org/10.1007/978-3-031-22944-2_15
Publication status	Published - 2023
Externally published	Yes
Event	9th International Workshop on the Arithmetic of Finite Fields, WAIFI 2022 - Chengdu, China Duration: 29 Aug 2022 → 2 Sept 2022

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	13638 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	9th International Workshop on the Arithmetic of Finite Fields, WAIFI 2022
Country/Territory	China
City	Chengdu
Period	29/08/22 → 2/09/22

Keywords

Algebraic modeling
MinRank problem
Quadratic equation

Access to Document

10.1007/978-3-031-22944-2_15

Cite this

Guo, H., & Ding, J. (2023). Algebraic Relation of Three MinRank Algebraic Modelings. In S. Mesnager, S. Mesnager, & Z. Zhou (Eds.), Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers (pp. 239-249). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13638 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-22944-2_15

Guo, Hao ; Ding, Jintai. / Algebraic Relation of Three MinRank Algebraic Modelings. Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers. editor / Sihem Mesnager ; Sihem Mesnager ; Zhengchun Zhou. Springer Science and Business Media Deutschland GmbH, 2023. pp. 239-249 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Algebraic Relation of Three MinRank Algebraic Modelings",

abstract = "We give algebraic relations among equations of three algebraic modelings for MinRank problem: support minors modeling, Kipnis–Shamir modeling and minors modeling.",

keywords = "Algebraic modeling, MinRank problem, Quadratic equation",

author = "Hao Guo and Jintai Ding",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 9th International Workshop on the Arithmetic of Finite Fields, WAIFI 2022 ; Conference date: 29-08-2022 Through 02-09-2022",

year = "2023",

doi = "10.1007/978-3-031-22944-2_15",

language = "English",

isbn = "9783031229435",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "239--249",

editor = "Sihem Mesnager and Sihem Mesnager and Zhengchun Zhou",

booktitle = "Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers",

}

Guo, H & Ding, J 2023, Algebraic Relation of Three MinRank Algebraic Modelings. in S Mesnager, S Mesnager & Z Zhou (eds), Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13638 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 239-249, 9th International Workshop on the Arithmetic of Finite Fields, WAIFI 2022, Chengdu, China, 29/08/22. https://doi.org/10.1007/978-3-031-22944-2_15

Algebraic Relation of Three MinRank Algebraic Modelings. / Guo, Hao; Ding, Jintai.
Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers. ed. / Sihem Mesnager; Sihem Mesnager; Zhengchun Zhou. Springer Science and Business Media Deutschland GmbH, 2023. p. 239-249 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13638 LNCS).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

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Guo H, Ding J. Algebraic Relation of Three MinRank Algebraic Modelings. In Mesnager S, Mesnager S, Zhou Z, editors, Arithmetic of Finite Fields - 9th International Workshop, WAIFI 2022, Revised Selected Papers. Springer Science and Business Media Deutschland GmbH. 2023. p. 239-249. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-22944-2_15