Protecting against security attack

Details Protecting against security attack Protecting against security attack

2008-04-16

2011-12-13

Chai, Longbit (Department: 2431)

Cryptography

Particular algorithmic function encoding

Public key

C380S028000, C380S029000, C726S027000, C726S028000, C726S029000, C726S030000, C713S189000, C713S190000, C713S191000, C713S192000, C713S194000

Reexamination Certificate

active

08077866

ABSTRACT:
A communication device having a private key and configured to implement an elliptic curve security mechanism for successful operation of which it: (a) receives a first value from another device, (b) computes a second value as the scalar multiplication of the first value with its private key and (c) returns that second value for use by the other device; the mechanism being such that the first value defines a pair of coordinates representing a first point and the second value defines a pair of coordinates representing a second point and being such that the first value is valid only if it lies on an elliptic curve of predefined form; the device being configured to implement the mechanism by the steps of: receiving data as the first value; making a first evaluation as to whether the first value is a singular point with respect to the elliptic curve; computing the second value as the scalar multiplication of the first value with the private key; making a second evaluation as to whether the second value lies on the elliptic curve; and returning the second value only if the first evaluation is false and the second evaluation is true.

REFERENCES:
patent: 2004/0010689 (2004-01-01), Vanstone et al.
patent: 2004/0114760 (2004-06-01), Brown
Antipa et al: “Validation of Elliptic Curve Public Keys” Lecture Notes in Computer Science, Springer Verlag, Berlin; Germany, vol. 2567, Jan. 6, 2003, pp. 221-223, XP002366140 ISSN: 0302-9743.
International Search Report dated Jul. 29, 2009, for PCT/EP2009/052089.
Written Opinion of the International Searching Authority for PCT/EP2009/052089.

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