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Curves with Many Points and Multiplication Complexity in Any Extension of Fq

✍ Scribed by Stéphane Ballet


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
157 KB
Volume
5
Category
Article
ISSN
1071-5797

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✦ Synopsis


From the existence of algebraic function "elds having some good properties, we obtain some new upper bounds on the bilinear complexity of multiplication in all extensions of the "nite "eld % O , where q is an arbitrary prime power. So we prove that the bilinear complexity of multiplication in the "nite "elds % O L is linear uniformly in q with respect to the degree n.