Weil descent of Jacobians.
type: Item
instance of: scholarly article
title: Weil descent of Jacobians.
zbMATH Open document ID: 1101.14037
DOI: 10.1016/S0166-218X(02)00443-2
author: Steven D. Galbraith
published in: Discrete Applied Mathematics
publication date: 2003-06-10T00:00:00Z
review text: The paper considers Weil restrictions as a means to solve the discrete logarithm problem in elliptic curves. In particular, it considers the Jacobian of a genus \(g>1\) curve \(C\) over a finite field \(\mathbb{F}_{q^n}\), where \(q\) is a prime and \(n>1\). The paper shows that in this case the discrete logarithm problem can be reduced to an computationally easier problem.
reviewed by: Jan Camenisch
Mathematics Subject Classification ID: 14G50
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 1925280
zbMATH Keywords: elliptic curves
zbMATH Keywords: Weil restrictions
zbMATH Keywords: discrete logarithm problem
Wikidata QID: Q61914069
MaRDI profile type: Publication
cites work: Q4847910
cites work: Q4450525
cites work: Q4502491
cites work: Sieving in Function Fields
cites work: Limitations of constructive Weil descent
cites work: Q4945368
cites work: Q3374896
cites work: Constructive and destructive facets of Weil descent on elliptic curves
cites work: Q2762749
cites work: Hyperelliptic cryptosystems
cites work: Q2778838
cites work: Q4875903
cites work: Algebraic function fields and codes
DBLP publication ID: journals/dam/Galbraith03
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description: scientific article; zbMATH DE number 1925280