Search Results - syndrome decoding problems
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Polynomial reduction from syndrome decoding problem to regular decoding problem: Polynomial reduction from syndrome to regular decoding
ISSN: 0925-1022, 1573-7586Published: New York Springer US 01.06.2025Published 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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Polynomial reduction from syndrome decoding problem to regular decoding problem
ISSN: 0925-1022, 1573-7586Published: Dordrecht Springer Nature B.V 01.06.2025Published 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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On the Complexity of the Rank Syndrome Decoding Problem
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.02.2016Published 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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Profiled Side-Channel Attack on Cryptosystems Based on the Binary Syndrome Decoding Problem
ISSN: 1556-6013, 1556-6021Published: New York IEEE 01.01.2022Published in IEEE transactions on information forensics and security (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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Code-based signatures from new proofs of knowledge for the syndrome decoding problem
ISSN: 0925-1022, 1573-7586Published: New York Springer US 01.02.2023Published 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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RYDE: a digital signature scheme based on rank syndrome decoding problem with MPC-in-the-Head paradigm
ISSN: 0925-1022, 1573-7586Published: Dordrecht Springer Nature B.V 01.05.2025Published 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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RYDE: a digital signature scheme based on rank syndrome decoding problem with MPC-in-the-Head paradigm: RYDE: a digital signature scheme
ISSN: 0925-1022, 1573-7586Published: New York Springer US 01.05.2025Published 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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Solving a Modified Syndrome Decoding Problem using Integer Programming
ISSN: 1841-9836, 1841-9844Published: Oradea Agora University of Oradea 01.10.2020Published in International journal of computers, communications & control (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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Fast GPU Implementation of Dumer's Algorithm Solving the Syndrome Decoding Problem
Published: IEEE 01.09.2021Published in 2021 IEEE Intl Conf on Parallel & Distributed Processing with Applications, Big Data & Cloud Computing, Sustainable Computing & Communications, Social Computing & Networking (ISPA/BDCloud/SocialCom/SustainCom) (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 -
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A New Identification Scheme based on Syndrome Decoding Problem with Provable Security against Quantum Adversaries
ISSN: 0948-6968Published: Graz University of Technology 01.01.2019Published 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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Generic Decoding in the Sum-Rank Metric
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.08.2022Published 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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A New Algorithm for Solving the Rank Syndrome Decoding Problem
ISSN: 2157-8117Published: IEEE 01.06.2018Published in 2018 IEEE International Symposium on Information Theory (ISIT) (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 -
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Integer syndrome decoding in the presence of noise
ISSN: 1936-2447, 1936-2455Published: New York Springer US 01.09.2024Published 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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Efficient Authentication Protocols from the Restricted Syndrome Decoding Problem
ISSN: 2995-1356Published: IEEE 30.06.2025Published in IEEE European Symposium on Security and Privacy (30.06.2025)“…In this paper, we introduce an oracle version of the Restricted Syndrome Decoding Problem (RSDP…”
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MODRED: A code-based non-interactive key exchange protocol
ISSN: 0304-3975Published: Elsevier B.V 21.12.2024Published 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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DECODING M-ARY LINEAR CODES WITH THE QUANTUM APPROXIMATE OPTIMIZATION ALGORITHM
ISSN: 2306-6172, 2308-9822Published: 01.01.2022Published in Eurasian Journal of Mathematical and Computer Applications (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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New code-based cryptosystems via the IKKR framework
ISSN: 2214-2126Published: Elsevier Ltd 01.08.2023Published in Journal of information security and applications (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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Problems of Syndrome Decoding of Block Error Correction Codes
ISSN: 2832-0514Published: IEEE 01.07.2024Published in Systems of Signal Synchronization, Generating and Processing in Telecommunications (Online) (01.07.2024)“…Object of consideration are linear block error correction codes. The subject of the analysis is syndrome decoding procedures of block codes and effectiveness evaluation of options for their implementation…”
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Conference Proceeding -
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Shared permutation for syndrome decoding: new zero-knowledge protocol and code-based signature
ISSN: 0925-1022, 1573-7586Published: New York Springer US 01.02.2023Published in Designs, codes, and cryptography (01.02.2023)“… on) post-quantum cryptographic problems. One of the few directions is code-based cryptography for which the strongest problem is the syndrome decoding (SD…”
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A quantum resistant universal designated verifier signature proof
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2023Published 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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