Search Results - "Decoding problem"

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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 +…”
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    Journal Article
  4. 4

    An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem by Pan, Yan, Chang, Xiang‐Ke, Hu, Xing‐Biao

    ISSN: 0022-2526, 1467-9590
    Published: Cambridge Blackwell Publishing Ltd 01.08.2023
    Published in Studies in applied mathematics (Cambridge) (01.08.2023)
    “…In this paper, the decoding problem for multiple Bose–Chaudhuri–Hocquenghem (BCH)‐Goppa codes over the same finite field is investigated…”
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    Journal Article
  5. 5

    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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    Journal Article
  6. 6

    Quantum Reduction of Finding Short Code Vectors to the Decoding Problem by Debris-Alazard, Thomas, Remaud, Maxime, Tillich, Jean-Pierre

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.07.2024
    Published in IEEE transactions on information theory (01.07.2024)
    “…We give a quantum reduction from finding short codewords in a random linear code to decoding for the Hamming metric. This is the first time such a reduction…”
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    Journal Article
  7. 7

    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
  8. 8

    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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    Journal Article
  9. 9

    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
  10. 10

    On the Bounded Distance Decoding Problem for Lattices Constructed and Their Cryptographic Applications by Li, Zhe, Ling, San, Xing, Chaoping, Yeo, Sze Ling

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.04.2020
    Published in IEEE transactions on information theory (01.04.2020)
    “…In this paper, we propose new classes of trapdoor functions to solve the bounded distance decoding problem in lattices…”
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    Journal Article
  11. 11

    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. It is a construction from Multi-Party Computation (MPC), using a MPC…”
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    Journal Article
  12. 12

    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. It is a construction from Multi-Party Computation (MPC), using a MPC…”
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    Journal Article
  13. 13

    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
  14. 14

    Decoding Problem Gamblers’ Signals: A Decision Model for Casino Enterprises by Ifrim, Sandra

    ISSN: 1573-3602, 1573-3602
    Published: New York Springer US 01.12.2015
    Published in Journal of gambling studies (01.12.2015)
    “…The aim of the present study is to offer a validated decision model for casino enterprises. The model enables those users to perform early detection of problem…”
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    Journal Article
  15. 15

    A spark-based parallel distributed posterior decoding algorithm for big data hidden Markov models decoding problem by Sassi, Imad, Anter, Samir, Bekkhoucha, Abdelkrim

    ISSN: 2089-4872, 2252-8938, 2089-4872
    Published: Yogyakarta IAES Institute of Advanced Engineering and Science 01.09.2021
    “… This paper proposes a modified posterior decoding algorithm to solve hidden Markov models decoding problem based on MapReduce paradigm…”
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    Journal Article
  16. 16

    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)
    “…Recently, in order to guarantee security against quantum adversaries, several identification (ID) schemes based on computational problems which are supposed to…”
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    Journal Article
  17. 17

    Extension of Decoding Problem of HMM Based on LP-Norm by Hori, Gen

    ISSN: 2379-190X
    Published: IEEE 01.04.2018
    “…The decoding problem of hidden Markov model (HMM) is extended based on the LP-norm of a vector of the log transition probabilities along the sequence of hidden states…”
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    Conference Proceeding
  18. 18

    On Application of the Modulus Metric to Solving the Minimum Euclidean Distance Decoding Problem by Davydov, V. A.

    ISSN: 0032-9460, 1608-3253
    Published: Moscow Pleiades Publishing 01.04.2019
    Published in Problems of information transmission (01.04.2019)
    “…We prove equivalence of using the modulus metric and Euclidean metric in solving the soft decoding problem for a memoryless discrete channel with binary input and Q -ary output…”
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    Journal Article
  19. 19

    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
    “…} -subspace generated by its coordinates. This problem is very similar to the Syndrome Decoding problem in the Hamming metric…”
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    Conference Proceeding
  20. 20

    On the Hardness of the Decoding and the Minimum Distance Problems for Rank Codes by Gaborit, Philippe, Zemor, Gilles

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.12.2016
    Published in IEEE transactions on information theory (01.12.2016)
    “…We give a randomized reduction for the Rank Syndrome Decoding problem and Rank Minimum Distance problem for rank codes over extension fields…”
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    Journal Article