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5 papers

cs.CR2026

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

Julia Lieb, Abhinaba Mazumder, Michael Schaller

Due to the insecurity of McEliece cryptosystems instantiated with Generalized Reed-Solomon codes, there have been several proposals of McEliece type systems that replace the permut…

cs.IT2026

A Survey on Code Equivalence: The State-of-the-Art and Open Questions

Anna-Lena Horlemann, Abhinaba Mazumder, Michael Schaller +1

The paper surveys the code equivalence problem and its variants, summarizing known algorithmic techniques, attacks, hardness assumptions, and outlining open research questions.

cs.CR2026

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

Michele Battagliola, Anna-Lena Horlemann, Abhinaba Mazumder +4

Given two linear codes, the Linear Equivalence Problem (LEP) asks to find (if it exists) a linear isometry between them; as a special case, we have the Permutation Equivalence Prob…

cs.IT2026

Construction and Decoding of Convolutional Codes with optimal Column Distances

Julia Lieb, Michael Schaller

The construction of Maximum Distance Profile (MDP) convolutional codes in general requires the use of very large finite fields. In contrast convolutional codes with optimal column…

cs.IT2025

Information-Set Decoding for Convolutional Codes

Niklas Gassner, Julia Lieb, Abhinaba Mazumder +1

In this paper, we present a framework for generic decoding of convolutional codes, which allows us to do cryptanalysis of code-based systems that use convolutional codes. We then a…