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A public key system with signature and master key functions. (English) Zbl 0933.94022
In the paper a new public key system has been introduced. This public key system is based on the theory of tame automorphism groups of an affine vector space. The public key is defined by a field $$GF(2^m)$$ and a polynomial mapping $$(f_1,\dots,f_{n+r}): GF(2^m)^n\to GF(2^m)^{n+r}$$, with $$f_1,\dots,f_{n+r}$$ defined by tame automorphisms $$\varphi_1,\varphi_2,\varphi_3,\varphi_4$$ assumed as the private key. The securty of the system rests in part on the difficulty of computing the maps $$\varphi_1^{-1},\varphi_2^{-1},\varphi_3^{-1},\varphi_4^{-1}$$ from the partial information provided by $$(f_1,\dots,f_{n+r})$$ and that it is impractical to write down the polynomial expresion each of $$\varphi_1^{-1},\varphi_2^{-1},\varphi_3^{-1},\varphi_4^{-1}$$. The paper contains the comprehensive discussion of cryptoanalysis for this system.

##### MSC:
 94A60 Cryptography
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