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IMA
2009
Springer

Double-Exponentiation in Factor-4 Groups and Its Applications

14 years 6 months ago
Double-Exponentiation in Factor-4 Groups and Its Applications
In previous work we showed how to compress certain prime-order subgroups of the cyclotomic subgroups of orders 22m + 1 of the multiplicative groups of F∗ 24m by a factor of 4. We also showed that single-exponentiation can be efficiently performed using compressed representations. In this paper we show that double-exponentiation can be efficiently performed using factor-4 compressed representation of elements. In addition to giving a considerable speed up to the previously known fastest single-exponentiation algorithm for general bases, double-exponentiation can be used to adapt our compression technique to ElGamal type signature schemes.
Koray Karabina
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Where IMA
Authors Koray Karabina
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