Key sharing system, public key cryptosystem, signature...

Details Key sharing system, public key cryptosystem, signature... Key sharing system, public key cryptosystem, signature...

2007-06-12

2007-06-12

Song, Hosuk (Department: 2135)

Cryptography

Key management

C380S278000

Reexamination Certificate

active

10176477

ABSTRACT:
A key sharing system is disclosed which uses a public key XεGF(n) (2≦X<n) which belongs to a Galois finite field GF(n) for an integer n (n≧2), and a polynomial T(•, •) defined in GF(n) by T(a, x)≡S(a, x)mod n where S(•, •) is a Chebyshev polynomial defined by S(a, cos θ)=cos(aθ) where a is an integer (a≧2). In a key sharing apparatus of this system, an integer obtaining unit obtains an integer p (2≦p<n), a transmission key calculation unit calculates a transmission key YεGF(n) using the integer p based on Y=T(p, X), a transmission key sending unit sends the transmission key Y to another key sharing apparatus, a transmission key reception unit receives a transmission key W from another key sharing apparatus, and a common key calculation unit calculates a common key ZεGF(n) using the transmission key W based on Z=T(p, W).

REFERENCES:
patent: 5889865 (1999-03-01), Vanstone et al.
patent: 5953420 (1999-09-01), Matyas et al.
patent: 6788788 (2004-09-01), Kasahara et al.
patent: 2002/0150237 (2002-10-01), DiSanto et al.

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