K
Karl Rubin
Researcher at University of California, Irvine
Publications - 91
Citations - 2856
Karl Rubin is an academic researcher from University of California, Irvine. The author has contributed to research in topics: Elliptic curve & Supersingular elliptic curve. The author has an hindex of 31, co-authored 89 publications receiving 2671 citations. Previous affiliations of Karl Rubin include Ohio State University & University of California, Berkeley.
Papers
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Journal ArticleDOI
The "main conjectures" of Iwasawa theory for imaginary quadratic fields.
Journal ArticleDOI
Tate-Shafarevich groups and L -functions of elliptic curves with complex multiplication
Book ChapterDOI
Supersingular Abelian Varieties in Cryptology
Karl Rubin,Alice Silverberg +1 more
TL;DR: In this paper, the security parameters of supersingular abelian varieties were investigated for identity-based encryption and short signature schemes, and they were shown to have security parameters that are neither too small nor too large.
Journal ArticleDOI
Ranks of twists of elliptic curves and Hilbert's tenth problem
Barry Mazur,Karl Rubin +1 more
TL;DR: In this article, the 2-Selmer rank in families of quadratic twists of elliptic curves over arbitrary number fields was investigated, and it was shown that if the Shafarevich-Tate conjecture holds then Hilbert's Tenth Problem has a negative answer over the ring of integers of every number field.
Book ChapterDOI
Torus-Based Cryptography
Karl Rubin,Alice Silverberg +1 more
TL;DR: The concept of torus-based cryptography is introduced, a new public key system called CEILIDH is given, and other discrete log based systems including Lucas-based systems and XTR are compared.