A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
Lecture Notes in Computer Science
In this work, we retake an old idea that Koblitz presented in his landmark paper  , where he suggested the possibility of defining anomalous elliptic curves over the base field F4. We present a careful implementation of the base and quadratic field arithmetic required for computing the scalar multiplication operation in such curves. In order to achieve a fast reduction procedure, we adopted a redundant trinomial strategy that embeds elements of the field F4m , with m a prime number, into adoi:10.1007/978-3-662-53140-2_13 fatcat:2z2xlykue5hwhjxckcxkdhozjm