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  1. 1

    On the security of two IKKR-type code-based cryptosystems: On the security of two IKKR-type code-based cryptosystems by Vedenev, Kirill

    ISSN: 0925-1022, 1573-7586
    Published: New York Springer US 01.11.2025
    Published in Designs, codes, and cryptography (01.11.2025)
    “…The paper analyzes the security of two recently proposed code-based cryptosystems that employ encryption of the form y = m G pub + e E pub : the Krouk–Kabatiansky–Tavernier (KKT…”
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    Journal Article
  2. 2

    Two modifications for Loidreau’s code-based cryptosystem by Guo, Wenshuo, Fu, Fang-Wei

    ISSN: 0938-1279, 1432-0622
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024
    “…This paper presents two modifications for Loidreau’s cryptosystem, a rank metric-based cryptosystem constructed by using Gabidulin codes in the McEliece setting…”
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    Journal Article
  3. 3

    Security of generalised Reed–Solomon code-based cryptosystems by Baldi, Marco, Chiaraluce, Franco, Rosenthal, Joachim, Santini, Paolo, Schipani, Davide

    ISSN: 1751-8709, 1751-8717
    Published: The Institution of Engineering and Technology 01.07.2019
    Published in IET information security (01.07.2019)
    “…In this study, the authors elaborate on a recently proposed variant of the public-key McEliece and Niederreiter cryptosystems using generalised Reed–Solomon (GRS…”
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    Journal Article
  4. 4

    A Secure Code Based Cryptosystem via Random Insertions, Deletions, and Errors by Esmaeili, Mostafa, Gulliver, T. Aaron

    ISSN: 1089-7798, 1558-2558
    Published: New York IEEE 01.05.2016
    Published in IEEE communications letters (01.05.2016)
    “…In this letter, a new code based cryptosystem with a public code is introduced. This cryptosystem is based on randomly flipping, deleting, and inserting bits into a codeword corresponding to a plaintext…”
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    Journal Article
  5. 5

    Post-Quantum Cryptosystems: Open Problems and Current Solutions. Isogeny-Based and Code-Based Cryptosystems by Malygina, E. S., Kutsenko, A. V., Novoselov, S. A., Kolesnikov, N. S., Bakharev, A. O., Khilchuk, I. S., Shaporenko, A. S., Tokareva, N. N.

    ISSN: 1990-4789, 1990-4797
    Published: Moscow Pleiades Publishing 01.03.2024
    “… Special attention is paid to cryptanalysis of these schemes. In particular, for code-based cryptosystems we describe the information set decoding and the support…”
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    Journal Article
  6. 6

    Punctured Reed–Muller code-based McEliece cryptosystems by Lee, Wijik, No, Jong-Seon, Kim, Young-Sik

    ISSN: 1751-8628, 1751-8636
    Published: The Institution of Engineering and Technology 13.07.2017
    Published in IET communications (13.07.2017)
    “…The authors propose new McEliece cryptosystems based on punctured Reed–Muller (RM) codes. They successfully show that the commonly known attacks, such as the…”
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    Journal Article
  7. 7

    About One Method of Constructing a Code-Based Cryptosystem Based on Quasi-Cyclic Codes by Isaeva, M. N., Ovchinnikov, A. A.

    ISSN: 2769-3538
    Published: IEEE 30.05.2022
    “…This article discusses the problem of constructing a public-key code-based cryptosystem based on quasi-cyclic codes and the hard task of complete decoding…”
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    Conference Proceeding
  8. 8

    FPGA implementation of highly secure, hardware‐efficient QC‐LDPC codebased nonlinear cryptosystem for wireless sensor networks by Stuart, Celine Mary, Deepthi, P. P.

    ISSN: 1074-5351, 1099-1131
    Published: Chichester Wiley Subscription Services, Inc 10.07.2017
    “…Summary This paper presents the design and implementation of an integrated architecture for embedding security into quasi‐cyclic (QC) low‐density parity‐check (LDPC) code…”
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    Journal Article
  9. 9

    polarRLCE: A New Code-Based Cryptosystem Using Polar Codes by Lin, Zhiqiang, Yi, Zongxiang, Wang, Yongge, Liu, Jingang

    ISSN: 1939-0114, 1939-0122
    Published: Cairo, Egypt Hindawi Publishing Corporation 26.12.2019
    Published in Security and communication networks (26.12.2019)
    “… Code-based cryptography leverages difficult problems in coding theory and is one of the main techniques enabling cryptographic primitives in the postquantum scenario…”
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    Journal Article
  10. 10

    Complexity of statistical attacks on QC-LDPC code-based cryptosystems by Santini, Paolo, Baldi, Marco, Chiaraluce, Franco

    ISSN: 1751-8709, 1751-8717
    Published: The Institution of Engineering and Technology 01.05.2020
    Published in IET information security (01.05.2020)
    “…Public-key cryptosystems built on quasi-cyclic (QC) low-density parity-check and moderate-density parity-check codes are promising candidates for post-quantum…”
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    Journal Article
  11. 11

    Breaking and Improving a Lattice-Code-Based Cryptosystem by Li, Ling, Xing, and Yeo by Athukorala, Pabasara, Galbraith, Steven D.

    ISSN: 0018-9448, 1557-9654
    Published: IEEE 01.09.2025
    Published in IEEE transactions on information theory (01.09.2025)
    “…Li, Ling, Xing, and Yeo (LLXY) have proposed a code-based encryption scheme based on factoring in finite fields…”
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    Journal Article
  12. 12

    Post-Quantum Cryptosystems: Open Problemsand Current Solutions. Isogeny-Basedand Code-Based Cryptosystems by Malygina, E. S, Kutsenko, A. V, Novoselov, S. A, Kolesnikov, N. S, Bakharev, A. O, Khilchuk, I. S, Shaporenko, A. S, Tokareva, N. N

    ISSN: 1990-4789, 1990-4797
    Published: Dordrecht Springer Nature B.V 01.01.2024
    “… Special attention is paid to cryptanalysis of these schemes. In particular, for code-based cryptosystems we describe the information set decoding and the support…”
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    Journal Article
  13. 13

    PKC-PC: A variant of the McEliece public-key cryptosystem based on polar codes by Hooshmand, Reza, Koochak Shooshtari, Masoumeh, Reza Aref, Mohammad

    ISSN: 1751-8628, 1751-8636
    Published: The Institution of Engineering and Technology 28.07.2020
    Published in IET communications (28.07.2020)
    “… A variant of the McEliece public-key cryptosystem based on polar codes, called the PKC-PC, is studied…”
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    Journal Article
  14. 14

    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
  15. 15

    ADMM and Reproducing Sum-Product Decoding Algorithm Applied to QC-MDPC Code-Based McEliece Cryptosystems by Watanabe, Kohtaro, Ohtsuka, Motonari, Tsukie, Yuta

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.03.2024
    Published in IEEE transactions on information theory (01.03.2024)
    “…QC-MDPC (quasi cyclic moderate density parity check) code-based McEliece cryptosystems are considered to be one of the candidates for post-quantum cryptography. Decreasing DFR…”
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    Journal Article
  16. 16

    A new codebased digital signature based on the McEliece cryptosystem by Haidary Makoui, Farshid, Gulliver, Thomas Aaron, Dakhilalian, Mohammad

    ISSN: 1751-8628, 1751-8636
    Published: Stevenage John Wiley & Sons, Inc 01.06.2023
    Published in IET communications (01.06.2023)
    “… The Courtois–Finiasz–Sendrier (CFS) digital signature is a well‐known codebased digital signature scheme based on the Niederreiter cryptosystem…”
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    Journal Article
  17. 17

    A toolbox for software optimization of QC-MDPC code-based cryptosystems by Drucker, Nir, Gueron, Shay

    ISSN: 2190-8508, 2190-8516
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019
    Published in Journal of cryptographic engineering (01.11.2019)
    “… even with large-scale quantum computers. One example is the family of code-based cryptosystems that relies on the syndrome decoding problem…”
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    Journal Article
  18. 18

    ON THE PARAMETERS OF A McELIECE-TYPE CRYPTOSYSTEM ON D-CODES BASED ON BINARY REED — MULLER CODES by Kosolapov, Yu. V., Lelyuk, E. A.

    ISSN: 2071-0410, 2311-2263
    Published: 2025
    “… — Muller codes were chosen as the base codes. Previously, conditions were found for these D-codes, under which the corresponding cryptosystem is resistant to known structural attacks based on the Schur — Hadamard product…”
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    Journal Article
  19. 19

    Improving the efficiency of the LDPC code-based McEliece cryptosystem through irregular codes by Baldi, Marco, Bianchi, Marco, Maturo, Nicola, Chiaraluce, Franco

    ISSN: 1530-1346
    Published: IEEE 01.07.2013
    “… The use of LDPC codes in this context allows to achieve good security levels with very compact keys, which is an important advantage over the classical McEliece cryptosystem based on Goppa codes…”
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    Conference Proceeding
  20. 20

    Connecting the Complexity of MQ- and Code-Based Cryptosystems by Zajac, Pavol

    ISSN: 1210-3195, 1210-3195, 1338-9750
    Published: Bratislava De Gruyter Open 26.09.2017
    Published in Tatra Mountains mathematical publications (26.09.2017)
    “…We study the connection between the MQ problem and the de­coding problem, through the intermediate MRHS representation. The main goal of this study is to…”
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    Journal Article