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~ similar to 2605.23224v1· 20 results

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.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.CRmath.NTRecentApr 6, 2026

Cryptanalysis of the Legendre Pseudorandom Function over Extension Fields

Daksh Pandey

This paper provides the first comprehensive cryptanalysis of the Legendre Pseudorandom Function over extension fields, demonstrating key recovery attacks under both passive and active threat models.

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cs.CRRecentJun 4, 2026

Towards Worst-case Hardness for Low-Noise LPN

Divesh Aggarwal, Rishav Gupta, Hai Hoang Nguyen, Kel Zin Tan +1 more

The paper presents a new worst-case to average-case reduction for the Learning Parity with Noise (LPN) problem, achieving hardness for inverse-polynomial noise rates previously unattainable.

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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.CRRecentApr 30, 2026

SBN Explorer: An Empirical Study of Cryptographic Boolean Networks

Arnaud Valence

The paper systematically explores a vast design space of cryptographic Boolean networks by formalizing six structural constraints, finding that optimal designs result from sparse, mutually compatible…

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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.CRcs.ITRecentApr 14, 2026

Distinguishers for Skew and Linearized Reed-Solomon Codes

Felicitas Hörmann, Anna-Lena Horlemann

The paper proves that generalized skew and linearized Reed-Solomon (GSRS and GLRS) codes, while promising for cryptosystems, are structurally weak and can be efficiently distinguished from random code…

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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.CRcs.CCRecentMay 11, 2026

Hardness Amplification for (Sparse) LPN

Divesh Aggarwal, Rishav Gupta, Li Zeyong

The paper establishes new hardness amplification results for Learning Parity with Noise (LPN) and its sparse variants, showing that solving the problem on a small fraction of instances implies solving…

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cs.CRmath.FARecentMay 3, 2026

Limit Properties at Critical Indices of Linear Canonical Riesz Potentials and Their Applications to Security of Multi-Image Encryption

Zunwei Fu, Dachun Yang, Shuhui Yang

The paper introduces the linear canonical Riesz potential (LCRP) and analyzes its convergence properties, leveraging these findings to propose a novel, secure, and efficient asymmetric cascaded LCRP m…

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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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quant-phcs.CRRecentMay 11, 2026

On Scalable Pseudorandom Unitaries and the Unitary Synthesis Problem

Zvika Brakerski, Henry Yuen

The paper establishes a strong connection between scalable pseudorandom unitaries (PRUs) and the unitary synthesis problem, proving that any such PRU construction must require a classical oracle of si…

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cs.CRcs.FLcs.MSRecentMar 20, 2026

Cellular Automata based Resource Efficient Maximally Equidistributed Pseudo-Random Number Generators

Bhuvaneswari A, Kamalika Bhattacharjee

The paper proposes a novel set of combined cellular automaton (CA)-based pseudo-random number generators (PRNGs) that overcome the weak equidistribution issues of existing CA-based PRNGs, achieving ma…

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cs.CRRecentApr 20, 2026

From Finite Enumeration to Universal Proof: Ring-Theoretic Foundations for PQC Hardware Masking Verification

Ray Iskander, Khaled Kirah

The paper provides the first machine-checked universal proof, using ring theory, that value-independence implies identical marginal distributions for arithmetic masking, thereby extending the verifica…

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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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quant-phcs.CRmath.CORecentMay 17, 2026

Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics

Ming-Xing Luo

This paper presents a quantum attack on Module-LWE based lattice schemes like ML-KEM, demonstrating a polynomial-time quantum algorithm with a high success probability.

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cs.CRRecentMay 18, 2026

Structural Analysis of Cryptographic Sequences using Stringology-Based Fingerprinting

Victor Kebande

The paper introduces a stringology-based fingerprinting (SBF) framework to structurally analyze cryptographic sequences, demonstrating that pattern analysis can reveal measurable structural signatures…

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cs.CRRecentMar 30, 2026

Cryptanalysis of a Lightweight RFID Authentication Protocol Based on a Variable Matrix Encryption Algorithm

Hongjun Wu

This paper demonstrates that a proposed lightweight RFID authentication protocol is structurally insecure and susceptible to a multi-session algebraic attack, enabling full compromise of the secret ke…

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cs.CRRecentMar 20, 2026

From Precise to Random: A Systematic Differential Fault Analysis of the Lightweight Block Cipher Lilliput

Peipei Xie, Siwei Chen, Zejun Xiang, Shasha Zhang +1 more

This paper systematically performs a differential fault analysis (DFA) on the lightweight block cipher Lilliput, demonstrating that it is significantly vulnerable to practical fault attacks even under…

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