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1. (WO2001031435) METHOD FOR MULTIPLYING DIVISOR CLASSES WITH A SCALAR

Pub. No.:    WO/2001/031435    International Application No.:    PCT/DE2000/003750
Publication Date: Fri May 04 01:59:59 CEST 2001 International Filing Date: Wed Oct 25 01:59:59 CEST 2000
IPC: G06F 7/72
Applicants: SIEMENS AKTIENGESELLSCHAFT
GÜNTHER, Christian
Inventors: GÜNTHER, Christian
Title: METHOD FOR MULTIPLYING DIVISOR CLASSES WITH A SCALAR
Abstract:
The invention relates to a method for the multiplication of divisor classes with a scalar (m), whereby the scalar (m) is a whole number and the divisor class is an element of the Jacobian variety of a hyperelliptic curve (C) on a finite body (F2n) (d⊂J¿C?(F2?n), C: v2+uv=u5+u2¿+1). The inventive method is based on Frobenius endomorphism, whereby a very short τ-adic expansion is obtained enabling rapid calculation of multiplication.