2 papers
cs.IT2026
A Polynomial-Time Attack on the McEliece Cryptosystem on Elliptic Codes with Arbitrary Divisors
Artyom Kuninets, Ekaterina Malygina, Evgeniy Melnichuk
The McEliece cryptosystem based on algebraic geometry codes has been proposed as a way to reduce the key size of code-based cryptography, but several structural attacks have demons…
cs.IT2025
Explicit bases for Riemann-Roch spaces on elliptic curves and their application in constructing various elliptic code families
Artyom Kuninets, Ekaterina Malygina
In this paper, we determine explicit bases for Riemann-Roch spaces associated with various families of elliptic codes. We establish the feasibility and provide exact algorithms for…