Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Alice Silverberg"'
Publikováno v:
Algebra & Number Theory. 15:711-727
We show that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map. Our results are motivated by and shed light on a proposed construction of a cryptographic protocol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b6b9158221cacb752b772922dab93d
https://doi.org/10.2140/ant.2021.15.711
https://doi.org/10.2140/ant.2021.15.711
Autor:
Alice Silverberg
Publikováno v:
Fifty Years of Women in Mathematics ISBN: 9783030826574
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2cfbac496a84433d153a76903c2559fe
https://doi.org/10.1007/978-3-030-82658-1_8
https://doi.org/10.1007/978-3-030-82658-1_8
Autor:
Alice Silverberg
Publikováno v:
Advances in Cryptology – EUROCRYPT 2020 ISBN: 9783030457204
EUROCRYPT (1)
EUROCRYPT (1)
Mathematics and cryptography have a long history together, with the ups and downs inherent in any long relationship. Whether it is a marriage of convenience or a love match, their progeny have lives of their own and have had an impact on the world. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c600355303c7064219038bda90abe9f7
https://doi.org/10.1007/978-3-030-45721-1_1
https://doi.org/10.1007/978-3-030-45721-1_1
Autor:
Lisa Berger, Chris Hall, Rene Pannekoek, Rachel Pries, Shahed Sharif, Alice Silverberg, Douglas Ulmer, Jennifer Park
The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $\mathbb F_p(t)$, when $p$ is prime and $r\ge 2$ is an integer prime to $p$. When $q$ is a powe
Autor:
Haruzo Hida, Kenneth A. Ribet, Alice Silverberg, Toni Bluher, Don Blasius, Kamal Khuri-Makdisi, Hiroyuki Yoshida
Publikováno v:
Notices of the American Mathematical Society. 67:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::879a681e88ffa84758da6a6ada09c12f
https://doi.org/10.1090/noti2076
https://doi.org/10.1090/noti2076
Autor:
Shahed Sharif, Daniel Krashen, Darren B. Glass, Alice Silverberg, Mark Zhandry, Dan Boneh, Mehdi Tibouchi, Kristin E. Lauter
Publikováno v:
Journal of Mathematical Cryptology, Vol 14, Iss 1, Pp 5-14 (2020)
We describe a framework for constructing an efficient non-interactive key exchange (NIKE) protocol for n parties for any n ≥ 2. Our approach is based on the problem of computing isogenies between isogenous elliptic curves, which is believed to be d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25f9357b414017ad7bf76056311c97d2
http://arxiv.org/abs/1807.03038
http://arxiv.org/abs/1807.03038
Autor:
Alice Silverberg, Hendrik W. Lenstra
Publikováno v:
Lenstra, HW; & Silverberg, A. (2018). Universal gradings of orders. Archiv der Mathematik. doi: 10.1007/s00013-018-1228-3. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/2dw9s0x2
© 2018, Springer Nature Switzerland AG. For commutative rings, we introduce the notion of a universal grading, which can be viewed as the “largest possible grading”. While not every commutative ring (or order) has a universal grading, we prove t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7b4c834c30b2a02eed7d2e885906947
http://www.escholarship.org/uc/item/2dw9s0x2
http://www.escholarship.org/uc/item/2dw9s0x2
Autor:
Yu. G. Zarhin, Alice Silverberg
Publikováno v:
Designs, Codes and Cryptography. 77:427-439
In this paper we give conditions under which two abelian varieties that are defined over a finite field $$F$$F, and are isogenous over some larger field, are $$F$$F-isogenous. Further, we give conditions under which a given isogeny is defined over $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60edce4a27fd3ab07f803a570c8c69cd
https://doi.org/10.1007/s10623-015-0078-2
https://doi.org/10.1007/s10623-015-0078-2
Autor:
Hendrik W. Lenstra, Alice Silverberg
A CM-order is a reduced order equipped with an involution that mimics complex conjugation. The Witt-Picard group of such an order is a certain group of ideal classes that is closely related to the "minus part" of the class group. We present a determi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20c48ee9d67da72e73f45f726cc6a034
Autor:
Alice Silverberg
Publikováno v:
Advances in Mathematics of Communications. 8:427-436
We give an overview of a method for using elliptic curves with complex multiplication to give efficient deterministic polynomial time primality tests for the integers in sequences of a special form. This technique has been used to find the largest pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e08981b56cb189cc4fce3c7cb20f8958
https://doi.org/10.3934/amc.2014.8.427
https://doi.org/10.3934/amc.2014.8.427