The Pairing Computation on Edwards Curves

Table 1

	DBL	mADD	ADD
Arène et al. [4]	1𝐌+1𝐒+𝑘𝐦+6𝐦+5𝐬+2𝐦𝐜	1𝐌+𝑘𝐦+12𝐦+1𝐦𝐜	1𝐌+𝑘𝐦+14𝐦+1𝐦𝐜
This paper; 𝑗≠0,1728	1𝐌+1𝐒+𝑘𝐦+4𝐦+7𝐬+2𝐦𝐜	1𝐌+𝐤𝐦+12𝐦+1𝐦𝐜	1𝐌+𝑘𝐦+14𝐦+1𝐦𝐜
This paper; 𝑗=1728	(1/2+1/𝑘)𝐌+1𝐒+(𝑘/2)𝐦+4𝐦+7𝐬+2𝐦𝐜	(1/2+1/𝑘)𝐌+(𝑘/2)𝐦+12𝐦+1𝐦𝐜	(1/2+1/𝑘)𝐌+(𝑘/2)𝐦+14𝐦+1𝐦𝐜
This paper; 𝑗=0	(1/3+1/𝑘)𝐌+1𝐒+(𝑘/3)𝐦+4𝐦+7𝐬+3𝐦𝐜	(1/3+1/𝑘)𝐌+(𝑘/3)𝐦+12𝐦+2𝐦𝐜	(1/3+1/𝑘)𝐌+(𝑘/3)𝐦+14𝐦+2𝐦𝐜