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20 results for “List decodable codes”

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stat.MLcs.CCcs.DSTheoreticalRecentJul 7, 2026

Boosting with List-Decodable Codes

Addison Prairie, Li-Yang Tan

A new boosting algorithm that strong learns concept classes closed under O(log 1/γ)-XOR using O(log 1/ε) calls to a γ-advantage weak learner and additional samples, by connecting boosting with list-de…

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quant-phcs.CRRecentMar 18, 2026

One Key Good, L Keys Better: List Decoding Meets Quantum Privacy Amplification

Prateek P. Kulkarni

The paper introduces List Privacy Amplification (LPA) and proves the Quantum List Leftover Hash Lemma (QLLHL), demonstrating that it can significantly increase the achievable key length in Quantum Key…

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cs.CRcs.ITRecentMar 27, 2026

Cryptanalysis of a PIR Scheme based on Linear Codes over Rings

Luana Kurmann, Svenja Lage, Violetta Weger

This paper presents a cryptanalytic attack demonstrating that a specific code-based Private Information Retrieval (PIR) scheme can be broken, allowing the server to efficiently determine the requested…

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cs.CRRecentApr 23, 2026

Provably Secure Steganography Based on List Decoding

Kaiyi Pang, Minhao Bai

The paper proposes a provably secure steganography scheme based on list decoding that significantly increases embedding capacity for Large Language Models (LLMs) compared to existing methods.

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cs.ITcs.AImath.CTTheoreticalRecentJul 15, 2026

CAS I: A Geometric Coding Theorem

Romie Banerjee

This paper establishes a Coding Theorem in the context of symmetry groups and develops a connection between subgroups of a group and subsets of binary strings.

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cs.ITcs.CCcs.CRTheoreticalRecentJun 23, 2026

Discrepancy for Random Linear Codes

Dean Doron, Tal Leonov, Jonathan Mosheiff, Henrique Navas +2 more

This paper proves that random linear codes have nearly optimal discrepancy properties in various regimes, extending classical results and enabling new applications.

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cs.DSmath.COTheoreticalRecentJul 9, 2026

Optimal Sparsifiers for Abelian Cayley Graphs

Arpon Basu, Pravesh K. Kothari, Raghu Meka, Stefan Tudose

This paper proves that for any finite abelian group, there exists a spectral sparsifier for its Cayley graph with log(|G|) generators. This result improves upon previous work for constructing code spa…

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cs.CRcs.ITRecentMar 24, 2026

The Power of Power Codes: New Classes of Easy Instances for the Linear Equivalence Problem

Michele Battagliola, Anna-Lena Horlemann, Abhinaba Mazumder, Rocco Mora +3 more

This paper identifies new, algebraically weak classes of instances for the Linear Equivalence Problem (LEP) by generalizing techniques from the Permutation Equivalence Problem (PEP) using power codes…

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cs.CRcs.ITTheoreticalRecentJul 27, 2026

An Attack on High Rate McEliece Cryptosystems Using Generalized Reed Solomon Codes with Weight $2$ Mask

Julia Lieb, Abhinaba Mazumder, Michael Schaller

The paper provides distinguishers for McEliece type cryptosystems with larger row and column weights, and presents a framework to turn distinguishers into key-recovery attacks. It successfully attacks…

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cs.CRcs.AIcs.SERecentJun 3, 2026

Willing but Unable: Separating Refusal from Capability in Code LLMs via Abliteration

Cristina Carleo, Pietro Liguori, Naghmeh Ivaki, Domenico Cotroneo

The paper introduces 'abliteration,' a weight editing technique that successfully bypasses the refusal mechanism of safety-aligned Code LLMs, enabling scalable synthesis of vulnerable code from safe i…

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cs.CRcs.ITTheoreticalRecentJul 22, 2026

Constant-time decoding of Gabidulin codes and their generalizations with application to RQC

Nicolas Aragon, Chloé Baïsse, Anthony Fraga, Philippe Gaborit +1 more

This paper proposes the first constant-time decoding algorithm for Augmented Gabidulin (AG) codes, a variation of Gabidulin codes used in efficient rank-based cryptosystems.

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cs.DSTheoreticalRecentJul 17, 2026

A Unified Theory of Sparsification

Sanjeev Khanna, Aaron Putterman, Madhu Sudan

This paper introduces a structural theorem for the sparsifiability of real-valued codes, which generalizes both combinatorial and continuous notions of sparsification.

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cs.CRquant-phRecentMay 26, 2026

A Note on Boosting Uncloneable Encryption in Microcrypt

James Bartusek, Eli Goldin

The paper establishes that the existence of many-time secure uncloneable encryption (UCE) can be shown to follow from relatively weak assumptions, such as the existence of many-time secure symmetric k…

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cs.CRcs.ITRecentApr 20, 2026

Subcodes of Lambda-Gabidulin Codes for Compact-Ciphertext Cryptography

Freddy Lendé Metouké, Hervé Talé Kalachi, Hermann Tchatchiem Kamche, Ousmane Ndiaye +1 more

The paper analyzes subcodes of lambda-Gabidulin codes to construct highly efficient McEliece-like and Niederreiter-like cryptosystems, demonstrating that random subcodes of classical Gabidulin codes y…

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math.COcs.DMmath.CTTheoreticalRecentJul 9, 2026

Subword representations and weak hypercube dimension for acyclic categories

Isaac Carcacía-Campos

This paper introduces a new way to represent finite posets as subwords of finite words in categories, and characterizes the monic categories that admit this representation.

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cs.ITmath.COTheoreticalRecentJun 12, 2026

Block Tensor Rank of Sum-Rank Metric Codes

Huimin Lao, Huy Pham, Hoang Ta, Van Khu Vu

This paper introduces and studies the block tensor rank of sum-rank metric codes, showing its additive decomposition and deriving lower bounds.

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