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The efficiency of solving multiple discrete logarithm problems and the implications for the security of fixed elliptic curves

✍ Scribed by Yvonne Hitchcock; Paul Montague; Gary Carter; Ed Dawson


Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
299 KB
Volume
3
Category
Article
ISSN
1615-5262

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We study the effective Riemann-Roch problem of computing a basis for the linear space \(L(D)\) associated with a divisor \(D\) on a plane curve \(C\) and its applications. Our presentation begins with an extension of Noether's algorithm for this problem to plane curves with singularities. Like the o