Search Results - "Rank Decoding Problem"

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  1. 1
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    Blockwise Rank Decoding Problem and LRPC Codes: Cryptosystems With Smaller Sizes by Song, Yongcheng, Zhang, Jiang, Huang, Xinyi, Wu, Wei

    ISSN: 0018-9448, 1557-9654
    Published: IEEE 01.06.2025
    Published in IEEE transactions on information theory (01.06.2025)
    “…In this paper, we initiate the study of the Rank Decoding (RD) problem and Low Rank Parity Check (LRPC) codes with blockwise structure in rank-based…”
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  2. 2
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    Revisiting algebraic attacks on MinRank and on the rank decoding problem by Bardet, Magali, Briaud, Pierre, Bros, Maxime, Gaborit, Philippe, Tillich, Jean-Pierre

    ISSN: 0925-1022, 1573-7586
    Published: New York Springer US 01.11.2023
    Published in Designs, codes, and cryptography (01.11.2023)
    “…The Rank Decoding problem (RD) is at the core of rank-based cryptography. Cryptosystems such as ROLLO and RQC, which made it to the second round of the NIST…”
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  3. 3
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    Solving systems of algebraic equations over finite commutative rings and applications by Kamche, Hermann Tchatchiem, Kalachi, Hervé Talé

    ISSN: 0938-1279, 1432-0622
    Published: Heidelberg Springer Nature B.V 01.11.2025
    “… Among these problems, we have the rank decoding problem, which is used in the construction of public-key cryptosystems…”
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  4. 4
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    On the Rank Decoding Problem Over Finite Principal Ideal Rings by Hervé Tale Kalachi, Kamche, Hermann Tchatchiem

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 15.08.2022
    Published in arXiv.org (15.08.2022)
    “…The rank decoding problem has been the subject of much attention in this last decade…”
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  5. 5
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    Revisiting Algebraic Attacks on MinRank and on the Rank Decoding Problem by Bardet, Magali, Briaud, Pierre, Bros, Maxime, Gaborit, Philippe, Tillich, Jean-Pierre

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 14.06.2023
    Published in arXiv.org (14.06.2023)
    “…The Rank Decoding problem (RD) is at the core of rank-based cryptography. This problem can also be seen as a structured version of MinRank, which is ubiquitous in multivariate cryptography. Recently, \cite…”
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  6. 6
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    Solving systems of algebraic equations over finite commutative rings and applications: Solving Systems of Algebraic by Kamche, Hermann Tchatchiem, Kalachi, Hervé Talé

    ISSN: 0938-1279, 1432-0622
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025
    “… Among these problems, we have the rank decoding problem, which is used in the construction of public-key cryptosystems…”
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  7. 7
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    Solving Systems of Algebraic Equations Over Finite Commutative Rings and Applications by Kamche, Hermann Tchatchiem, Kalachi, Hervé Talé

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 17.04.2023
    Published in arXiv.org (17.04.2023)
    “… Among these problems, we have the rank decoding problem, which is used in the construction of public-key cryptography…”
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  8. 8
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    Injective Rank Metric Trapdoor Functions with Homogeneous Errors by Burle, Étienne, Gaborit, Philippe, Younes Hatri, Ayoub Otmani

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 13.10.2023
    Published in arXiv.org (13.10.2023)
    “… The rank decoding problem which is the analogue of the problem of decoding a random linear code consists in recovering a basis of a random noise vector that was used to perturb a set of random linear…”
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