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Table 2 Costs of various field operations for elliptic curves over binary fields in affine coordinates

From: Efficient scalar multiplication of ECC using SMBR and fast septuple formula for IoT

Operation

Propose

Cost

Operation

Propose

Cost

\(P + Q\)

 

\(1[i] + 1[s] + 2[m]\)

\({4}P + Q\)

[17]

\({2}[i] + {6}[s] + {10}[m]\)

\(2P\)

 

\(1[i] + 1[s] + 2[m]\)

\({4}P + Q\)

[10]

\(3[i] + {3}[s] + {5}[m]\)

\(2P + Q\)

[17]

\(1[i] + {2}[s] + {9}[m]\)

\(5P\)

[11]

\(1[i] + {5}[s] + {13}[m]\)

\(3P\)

[17]

\(1[i] + {4}[s] + {7}[m]\)

\(7P\)

[20]

\({3}[i] + {7}[s] + {18}[m]\)

\({3}P + Q\)

[17]

\({2}[i] + {3}[s] + {9}[m]\)

\(7P\)

[21]

\({2}[i] + {7}[s] + {14}[m]\)

\({4}P\)

[17]

\(1[i] + {5}[s] + {8}[m]\)

\(7P\)

[21]

\({1}[i] + {6}[s] + {20}[m]\)

\({4}P\)

[10]

\(2[i] + {3}[s] + {3}[m]\)

\(7P\)

This paper

\(1[i] + {7}[s] + {16}[m]\)