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Traces of Division Polynomials in Characteristic Two

✍ Scribed by Antonia W. Bluher

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
87 KB
Volume
88
Category
Article
ISSN
0022-314X

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✦ Synopsis

As an example, consider the elliptic curve E: y 2 +xy=x 3 +:, where : generates GF(4), the field with four elements, and take l to be 5. There are 25 elements of E[5], including the identity element and twelve pairs P i =(x i , y i ) and &P i =(x i , x i + y i ). The twelve distinct x-coordinates are

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