Machine learning for moduli space of genus two curves and an application to isogeny-based cryptography
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-025-01393-8
Abstract: We use machine learning to study the moduli space of genus two curves, specifically focusing on detecting whether a genus two curve has (n, n)-split Jacobian. Based on such techniques, we observe that there are… read more here.
Keywords: genus two; machine learning; two curves; cryptography ... See more keywords
Minimum-weight codewords of the Hermitian codes are supported on complete intersections
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2018.12.007
Abstract: Abstract Let H be the Hermitian curve defined over a finite field F q 2 . In this paper we complete the geometrical characterization of the supports of the minimum-weight codewords of the algebraic-geometry codes… read more here.
Keywords: weight codewords; codewords hermitian; codes supported; hermitian codes ... See more keywords