Research Article

Efficient Isogeny Computations on Twisted Edwards Curves

Table 2

Implementation results of 3 and 4 isogenies on Montgomery curves and Edwards curves (cc represents the number of clock cycles).

ā€‰3-isogeny4-isogeny

Montgomery curves [18]6M+5S+14a+5s6M+6S+7a+4s
8,931 cc17,833 cc9,146 cc16,375 cc
Edwards curves (This Work)6M+5S+11a+7s7M+5S+4a+7s
8,843 cc17,644 cc9,363 cc16,542 cc