GF(p)上安全橢圓曲線(xiàn)及其基點(diǎn)的選取
The selection of secure elliptic curves and their base points over GF(p)
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摘要: 橢圓曲線(xiàn)密碼體制的研究與實(shí)現(xiàn)已逐漸成為公鑰密碼體制研究的主流,適用于密碼的安全橢圓曲線(xiàn)及其基點(diǎn)的選取,是橢圓曲線(xiàn)密碼實(shí)現(xiàn)的基礎(chǔ)。在該文中,作者討論了大素?cái)?shù)域上的安全橢圓曲線(xiàn)的選取算法和基點(diǎn)的選取,并借助于MIRACL系統(tǒng)利用標(biāo)準(zhǔn)C語(yǔ)言對(duì)它們成功實(shí)現(xiàn)。Abstract: The study and realization of elliptic curve cryptography have become to be the mainstream of the study on public cryptography, and the selection of secure elliptic curves in cipher and their base points is the basis of the implementing of the elliptic curves cryptography. In this paper, the selection algorithm of the secure elliptic curves and their base point over large prime number is discussed, further more, the algorithm is implemented successfully in C language using the MIRACL system.
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