3 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…
cs.CR2023
Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO
V. A. Idrisova, N. N. Tokareva, A. A. Gorodilova +9
Every year the International Olympiad in Cryptography Non-Stop University CRYPTO (NSUCRYPTO) offers mathematical problems for university and school students and, moreover, for prof…