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~ similar to 2604.12954v1· 20 results

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.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.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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cs.ITTheoreticalRecentJul 22, 2026

Duality and Reverse Self-Dual Constructions for Hyperderivative Reed-Solomon Codes

Hongchang Li, Zhihao Zhu, Weijun Fang, Jun Zhang +1 more

The paper derives an explicit representation for the Euclidean dual of Hyperderivative Reed-Solomon codes and studies reverse self-dual HRS codes.

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cs.CRRecentMay 26, 2026

Analyzing Linear Layers in Related-Differential Cryptanalysis

Yogesh Kumar, Akshay Ankush Yadav, Susanta Samanta

The paper systematically investigates the conditions under which linear layers in AES-like ciphers avoid related-differential structures, proving that the MDS property is necessary and identifying spe…

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cs.CRcs.ITquant-phRecentApr 24, 2026

Module Lattice Security (Part II): Module Lattice Reduction via Optimal Sign Selection

Ming-Xing Luo

This paper extends quantum lattice reduction techniques (CDPR) from ideal to module lattices over cyclotomic rings, achieving a constant module reduction factor and providing a rigorous, bounded-preci…

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cs.CRcs.ITRecentMar 20, 2026

HQC Post-Quantum Cryptography Decryption with Generalized Minimum-Distance Reed-Solomon Decoder

Jiaxuan Cai, Xinmiao Zhang

This paper proposes using a generalized minimum-distance (GMD) soft-decision Reed-Solomon decoder for HQC post-quantum cryptography, significantly reducing required codeword length and improving hardw…

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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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cs.CRcs.ITRecentApr 10, 2026

Cross-Paradigm Models of Restricted Syndrome Decoding with Application to CROSS

Étienne Burle, Aleksei Udovenko

The paper analyzes the security of the post-quantum signature scheme CROSS by showing that the underlying Restricted Syndrome Decoding problem can be reduced to both code-based and lattice-based probl…

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cs.ITcs.CRRecentMay 22, 2026

On APN Exponents and the Differential and Boomerang Properties of Binomials in Characteristic 3

Namhun Koo, Soonhak Kwon, Minwoo Ko, Byunguk Kim

This paper systematically analyzes binomial functions over $\mathbb{F}_{p^n}$ in characteristic 3, providing a classification and rigorous proof of specific classes of exponents that yield extremely l…

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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.DScs.CRmath.NTRecentMay 17, 2026

Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice

Ming-Xing Luo

The paper analyzes the structured CVP distance on the log-unit lattice of cyclotomic fields, significantly reducing the conjectured CDPR factor for the ML-KEM cryptosystem from exponential to sub-poly…

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cs.CRRecentMay 20, 2026

Graph Structure of Chebyshev Permutation Polynomials over Binary and Ternary Adic Rings

Xiaoxiong Lu, Yuling Dai, Chengqing Li

This paper characterizes the graph structure, including cycle and path lengths, of Chebyshev permutation polynomials over the ring $\mathbb{Z}_{2^{k_1}3^{k_2}}$, demonstrating strong regularities desp…

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cs.ITcs.DMmath.COTheoreticalRecentJul 18, 2026

Decoding Desarguesian spread codes beyond half minimum distance

Ermes Franch, Chunlei Li, Angelica Piccirillo

This paper develops a new decoding algorithm for Desarguesian spread codes to uniquely decode in the presence of insertions and deletions, even when the sum of their dimensions exceeds half the minimu…

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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.ITRecentMar 24, 2026

Canonical Byte-String Encoding for Finite-Ring Cryptosystems

Kyrylo Riabov, Serhii Kryvyi

The paper introduces the base-m length codec, a canonical and robust encoding scheme that maps byte strings to lists of residues modulo m, essential for finite-ring cryptosystems.

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cs.ITmath.COTheoreticalRecentJun 23, 2026

Minimal additive codes and additive strong blocking sets

Gianira N. Alfarano, Marine Le Meur

This paper introduces minimal additive codes over Fqh and establishes a one-to-one correspondence between minimal additive codes and additive strong blocking sets. It also compares this framework with…

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