Elliptic Curve Cryptosystems; Too Good to Be True? Overzichtsartikel Elliptic Curve Cryptosystems
نویسنده
چکیده
Er bestaan vele publieke-sleutel cryptosystemen. Het vakgebied is sterk in beweging en wordt gekenmerkt door hevige controverses. Dat is logisch, want met het beveiligen van gegevens zijn grote commerciële belangen gemoeid. Op het Mathematisch Congres 2001 in Amsterdam presenteerde Eric Verheul (Pricewaterhouse Coopers) in een van de hoofdvoordrachten het cryptosysteem gebaseerd op de discrete logarithme. Hij beweerde ondermeer dat cryptosystemen gebaseerd op elliptische krommen trager zijn en eigenlijk achterhaald. Henk van Tilborg geeft hier een andere visie.
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Efficient elliptic curve cryptosystems
Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...
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