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  1. 1

    Polynomial reduction from syndrome decoding problem to regular decoding problem: Polynomial reduction from syndrome to regular decoding by Zajac, Pavol

    ISSN: 0925-1022, 1573-7586
    Published: New York Springer US 01.06.2025
    Published in Designs, codes, and cryptography (01.06.2025)
    “…The regular decoding problem asks for (the existence of) regular solutions to a syndrome decoding problem (SDP…”
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    Journal Article
  2. 2

    Polynomial reduction from syndrome decoding problem to regular decoding problem by Zajac, Pavol

    ISSN: 0925-1022, 1573-7586
    Published: Dordrecht Springer Nature B.V 01.06.2025
    Published in Designs, codes, and cryptography (01.06.2025)
    “…The regular decoding problem asks for (the existence of) regular solutions to a syndrome decoding problem (SDP…”
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    Journal Article
  3. 3

    On the Complexity of the Rank Syndrome Decoding Problem by Gaborit, Philippe, Ruatta, Olivier, Schrek, Julien

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.02.2016
    Published in IEEE transactions on information theory (01.02.2016)
    “…In this paper, we propose two new generic attacks on the rank syndrome decoding (RSD) problem. Let C be a random [n, k] rank code over GF(q m ) and let y = x + e be a received word, such that x…”
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    Journal Article
  4. 4

    Profiled Side-Channel Attack on Cryptosystems Based on the Binary Syndrome Decoding Problem by Colombier, Brice, Dragoi, Vlad-Florin, Cayrel, Pierre-Louis, Grosso, Vincent

    ISSN: 1556-6013, 1556-6021
    Published: New York IEEE 01.01.2022
    “… The Classic McEliece cryptosystem, which is among the four finalists of round 3 in the Key Encapsulation Mechanism category, builds its security on the hardness of the syndrome decoding problem…”
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    Journal Article
  5. 5

    Code-based signatures from new proofs of knowledge for the syndrome decoding problem by Bidoux, Loïc, Gaborit, Philippe, Kulkarni, Mukul, Mateu, Victor

    ISSN: 0925-1022, 1573-7586
    Published: New York Springer US 01.02.2023
    Published in Designs, codes, and cryptography (01.02.2023)
    “…). This line of work can be traced back to Stern who introduced the first efficient PoK for the syndrome decoding problem in 1993…”
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    Journal Article
  6. 6

    RYDE: a digital signature scheme based on rank syndrome decoding problem with MPC-in-the-Head paradigm by Bidoux, Loïc, Chi-Domínguez, Jesús-Javier, Feneuil, Thibauld, Gaborit, Philippe, Joux, Antoine, Rivain, Matthieu, Vinçotte, Adrien

    ISSN: 0925-1022, 1573-7586
    Published: Dordrecht Springer Nature B.V 01.05.2025
    Published in Designs, codes, and cryptography (01.05.2025)
    “…We present a signature scheme based on the syndrome decoding (SD) problem in rank metric…”
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    Journal Article
  7. 7

    RYDE: a digital signature scheme based on rank syndrome decoding problem with MPC-in-the-Head paradigm: RYDE: a digital signature scheme by Bidoux, Loïc, Chi-Domínguez, Jesús-Javier, Feneuil, Thibauld, Gaborit, Philippe, Joux, Antoine, Rivain, Matthieu, Vinçotte, Adrien

    ISSN: 0925-1022, 1573-7586
    Published: New York Springer US 01.05.2025
    Published in Designs, codes, and cryptography (01.05.2025)
    “…We present a signature scheme based on the syndrome decoding (SD) problem in rank metric…”
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    Journal Article
  8. 8

    Solving a Modified Syndrome Decoding Problem using Integer Programming by Dragoi, Vlad-Florin, Cayrel, Pierre-Louis, Colombier, Brice, Bucerzan, Dominic, Hoara, Sorin

    ISSN: 1841-9836, 1841-9844
    Published: Oradea Agora University of Oradea 01.10.2020
    “…In this article, we model a variant of the well-known syndrome decoding problem as a linear optimization problem…”
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    Journal Article
  9. 9

    Fast GPU Implementation of Dumer's Algorithm Solving the Syndrome Decoding Problem by Narisada, Shintaro, Fukushima, Kazuhide, Kiyomoto, Shinsaku

    Published: IEEE 01.09.2021
    “…The syndrome decoding problem (SDP) is a security basis for code-based cryptographic algorithms such as the McEliece cryptosystem, which has been selected as a finalist for the third round of the post-quantum cryptography (PQC…”
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    Conference Proceeding
  10. 10

    A New Identification Scheme based on Syndrome Decoding Problem with Provable Security against Quantum Adversaries by Bagus Santoso, Chunhua Su

    ISSN: 0948-6968
    Published: Graz University of Technology 01.01.2019
    Published in Journal of universal computer science (01.01.2019)
    “… assumption of syndrome decoding (SD) problem. Our security proof is interesting in its own right, since it only requires a non-programmable quantum random oracle, in contrast to existing security proofs of digital signatures generated from ID scheme via Fiat-Shamir transform which require programmable quantum random oracles…”
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    Journal Article
  11. 11

    Generic Decoding in the Sum-Rank Metric by Puchinger, Sven, Renner, Julian, Rosenkilde, Johan

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.08.2022
    Published in IEEE transactions on information theory (01.08.2022)
    “…We propose the first non-trivial generic decoding algorithm for codes in the sum-rank metric…”
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    Journal Article
  12. 12

    A New Algorithm for Solving the Rank Syndrome Decoding Problem by Aragon, Nicolas, Gaborit, Philippe, Hauteville, Adrien, Tillich, Jean-Pierre

    ISSN: 2157-8117
    Published: IEEE 01.06.2018
    “…In this paper, we propose an improvement of the attack on the Rank Syndrome Decoding (RSD) problem found in [1…”
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    Conference Proceeding
  13. 13

    Efficient Authentication Protocols from the Restricted Syndrome Decoding Problem by Johansson, Thomas, Khairallah, Mustafa, Nguyen, Vu

    ISSN: 2995-1356
    Published: IEEE 30.06.2025
    “…In this paper, we introduce an oracle version of the Restricted Syndrome Decoding Problem (RSDP…”
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    Conference Proceeding
  14. 14

    Integer syndrome decoding in the presence of noise by Drăgoi, Vlad-Florin, Colombier, Brice, Cayrel, Pierre-Louis, Grosso, Vincent

    ISSN: 1936-2447, 1936-2455
    Published: New York Springer US 01.09.2024
    Published in Cryptography and communications (01.09.2024)
    “… A central NP-hard problem is the binary syndrome decoding problem, on which the security of many code-based cryptosystems lies…”
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    Journal Article
  15. 15

    MODRED: A code-based non-interactive key exchange protocol by Pei, Junling, Fu, Fang-Wei

    ISSN: 0304-3975
    Published: Elsevier B.V 21.12.2024
    Published in Theoretical computer science (21.12.2024)
    “… In this paper, we propose the first code-based NIKE protocol MODRED, whose security relies on the hardness of the Restricted Syndrome Decoding (R-SD…”
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    Journal Article
  16. 16

    DECODING M-ARY LINEAR CODES WITH THE QUANTUM APPROXIMATE OPTIMIZATION ALGORITHM by Epelde, M., Combarro, E. F., R ́ua, I. F.

    ISSN: 2306-6172, 2308-9822
    Published: 01.01.2022
    “…Abstract The NP-hardness of the Minimum Distance Decoding Problem (MDDP) is the core of the McEliece cryptosystem…”
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    Journal Article
  17. 17

    New code-based cryptosystems via the IKKR framework by Lau, Terry Shue Chien, Ivanov, Fedor, Ariffin, Muhammad Rezal Kamel, Chin, Ji-Jian, Yap, Timothy Tzen Vun

    ISSN: 2214-2126
    Published: Elsevier Ltd 01.08.2023
    “…One main construct for code-based public key cryptosystems is the McEliece framework that hedges upon the hardness of decoding arbitrary linear codes…”
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    Journal Article
  18. 18

    A quantum resistant universal designated verifier signature proof by Thanalakshmi, P., Anbazhagan, N., Joshi, Gyanendra Prasad, Yang, Eunmok

    ISSN: 2473-6988, 2473-6988
    Published: AIMS Press 01.01.2023
    Published in AIMS mathematics (01.01.2023)
    “…In order to ensure that only the designated person can verify the signer's signature on the message, Steinfeld et al. introduced the concept of Universal…”
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    Journal Article
  19. 19

    Quantum approximate optimization of the coset leader problem for binary linear codes by Epelde, Markel, Combarro, Elías F., Rúa, Ignacio F.

    ISSN: 2577-7408, 2577-7408
    Published: Hoboken, USA John Wiley & Sons, Inc 01.11.2021
    Published in Computational and mathematical methods (01.11.2021)
    “…The security of a broad family of coding‐based cryptographic techniques relies on the hardness of the Syndrome Decoding Problem (SDP…”
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    Journal Article
  20. 20

    Grover Adaptive Search With Spin Variables by Fujiwara, Shintaro, Ishikawa, Naoki

    ISSN: 2689-1808, 2689-1808
    Published: IEEE 2025
    “…This article presents a novel approach to Grover adaptive search (GAS) for a combinatorial optimization problem whose objective function involves spin variables…”
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    Journal Article