System and method of double-scalar multiplication of streamlined elliptic curve
A technique of elliptic curve and scalar multiplication, which is applied in calculation using residual algorithm, public key for secure communication, and calculation using non-number system representation, and can solve problems such as complex calculation steps of elliptic curve scalar multiplication
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[0044] The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.
[0045] Please refer to figure 2 , image 3 , figure 2 It is a circuit structure diagram of a pipelined elliptic curve double scalar multiplication system including two finite field square operators in an embodiment of the present invention; image 3 It is a circuit structure diagram of the pipelined elliptic curve double scalar multiplication system including three finite field square operators in the embodiment of the present invention.
[0046]The circuit structure of the pipelined elliptic curve double-scalar multiplication system of the present embodiment includes: two or three finite-field square operators; three finite-field multiplication operators; a finite-field addition operator; multiplexers; registers Group. Wherein the external input is a constant b, the original coordinates (x, y), (u, v) of two points on the elliptic curve and the...
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