Point addition system of elliptic curve cipher system
A technology of elliptic curve cryptography and point addition, which is applied to calculations using non-numerical representations and calculations using residual algorithms, which can solve problems such as waste of clock cycles and low efficiency of serial calculations
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[0172] The idea of the present invention is: 1) use the calculation formula of elliptic curve point addition under the Jacobi projection coordinate system to perform data correlation analysis, extract mutually independent operations, and determine that the number of pipeline stages is three. 2) Analyze the key operations in the point addition operation, set it as the highest priority, and then put the lower priority operations into the pipeline process in sequence according to the operation order, while minimizing the number of intermediate variable registers used. 3) According to the number of clock cycles required for a single modular multiplication, the time consumption for point addition of the three-stage pipeline is extracted in a general sense;
[0173] These three ideas are detailed below:
[0174] 1) Data correlation analysis of point plus:
[0175]As shown in Table 1, using the calculation formula of elliptic curve point addition under the Jacobi projection coordi...
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