Digital signatures on a smartcard

Cryptography – Particular algorithmic function encoding – Nbs/des algorithm

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380 23, 380 30, 380 49, H04L 900, H04L 930

Patent

active

059996269

ABSTRACT:
A digital signature scheme for a "smart" card utilizes a set of prestored signing elements and combines pairs of the elements to produce a new session pair. The combination of the elements is performed partly on the card and partly on the associated transaction device so that the exchange of information between card and device does not disclose the identity of the signing elements. The signing elements are selected in a deterministic but unpredictable manner so that each pair of elements is used once. Further signing pairs are generated by implementing the signing over an anomalous elliptic curve encryption scheme and applying a Frobenius Operator to the normal basis representation of one of the elements.

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patent: 5159632 (1992-10-01), Crandall
patent: 5271061 (1993-12-01), Crandall
patent: 5272755 (1993-12-01), Miyaji et al.
patent: 5351297 (1994-09-01), Miyaji et al.
patent: 5442707 (1995-08-01), Miyaji et al.
patent: 5463690 (1995-10-01), Crandall
patent: 5497423 (1996-03-01), Miyaji
Evangelos Kranakis, "Primality and Cryptography"; (John Wiley & Sons; New York; 1986); pp. 98-99.

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