VHDL Implementation using Elliptic Curve Point Multiplication
نویسنده
چکیده
This paper describes synthesizable VDHL implementation of elliptic curve Point Multiplication. Elliptic curves used for ECC are defined over mathematical structures called Galois fields. Based on the theory of ECC, this paper has carried out Modular addition/subtraction, EC Point doubling/addition, Modular multiplicative inversion, EC point multiplier, projective to affine coordinates conversion. Importantly for cryptography, the elliptic curve point multiplication is the operation on which the security of every elliptic curve cryptosystem relies on. Keywords— Elliptic curve point addition, point doubling, Finite field arithmetic, Point multiplication, FPGA
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