Using The Ergodic Matrice Over Finite Field To Implement The Key-Exchange Based On The Hidden-Bases

In this paper, we propose a new method for Key-exchange basedon ergodic matrix over finite field——The Key-Exchange based onHidden-Bases.A finite field or Galois field (so named in honor of EvaristeGalois) is a field that only contains finitely elements.There areimportant uses in ECC and encryption because operation in a finitefield has many characteristics such as without carrying bits,equalbits and without rounding error. In this paper, We bring out theconcept of"ergodic matrix"(what is called n-degree"ergodicmatrix"in finite field F_q is the matrix Q with full orders whichperiod is q~n-1.If d= q~n-1,then the concourse...