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On the key exchange with nonlinear polynomial maps of degree 4Keywords: Key exchange , public key cryptography , symbolic computations , graphs and digraphs of large girth. Abstract: We say that the sequence gn, n 3, n ! 1 of polynomial trans-formation bijective maps of free module Kn over commutative ring K is asequence of stable degree if the order of gn is growing with n and the degreeof each nonidentical polynomial map of kind gnk is an independent constant c.A transformation b = gnk
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