The algorithm can induce the algorithms of [ 6 ] and [ 7 ] in the specify condition 在特定的基域和橢圓曲線方程下,該算法可推導(dǎo)出文獻(xiàn)[ 6 ]和[ 7 ]中給出的算法。
The sufficient safety elliptic curves based on different base field are chosen , including the basic points and orders are chosen 基于不同基域的安全橢圓曲線選擇,包括基點(diǎn)和階的選取。
The procedure of this dissertation divides into two hierarchies . first , the finite field gf ( pm ) and arithmetic among field elements are concerned in chapter 3 and chapter 4 . second , elliptic curve finite group e ( gf ( pm ) ) and arithmetic among point elements are concerned in chapter 5 and chapter 6 本文的工作可分為兩個(gè)層次:第一層次,關(guān)于基域gf ( p ~ m )及其域元素之間的運(yùn)算,這包括在第三和第四章;第二層次,關(guān)于橢圓曲線有限群e ( gf ( p ~ m ) )及其點(diǎn)元素之間的運(yùn)算,這包括在第五和第六章。