5 papers
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…
Distinguishers for Skew and Linearized Reed-Solomon Codes
Felicitas Hörmann, Anna-Lena Horlemann
Generalized Reed-Solomon (GRS) and Gabidulin codes have been proposed for various code-based cryptosystems, though most such schemes without elaborate disguising techniques have be…
Bounds and Equivalence of Skew Polycyclic Codes over Finite Fields
Hassan Ou-azzou, Anna-Lena Horlemann, Nuh Aydin
We study skew polycyclic codes over a finite field , associated with a skew polynomial , where is an automorphism of . W…
Lattice-Based Vulnerabilities in Lee Metric Post-Quantum Cryptosystems
Anna-Lena Horlemann, Karan Khathuria, Marc Newman +2
Post-quantum cryptography has gained attention due to the need for secure cryptographic systems in the face of quantum computing. Code-based and lattice-based cryptography are two…
Galois Hull Dimensions of Gabidulin Codes
Habibul Islam, Anna-Lena Horlemann
For a prime power , an integer and we study the -Galois hull dimension of Gabidulin codes of length and dimension over $\mat…