INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.17, no.7, pp.1517-1536, 2021 (SCI-Expanded)
Article / Article
INTERNATIONAL JOURNAL OF NUMBER THEORY
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Hyperelliptic curves, Jacobian, Picard group, finite fields, polynomial factorization
Istanbul Technical University Affiliated:
In this paper, we describe a new polynomial factorization algorithm over finite fields with odd characteristics. The main ingredient of the algorithm is special singular curves. The algorithm relies on the extension of the Mumford representation and Cantor's algorithm to these special singular curves.