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Table 1 Comparison of different multivariate polynomial systems by experimental results

From: Improvement of FPPR method to solve ECDLP

 

s m +1

s m +1

s m +1 with specific V

#var

m n

m n +m n

\(mn' + (n'-1)\frac {m(m+1)}{2}+m\)

#poly

n

n+m n

\(n + (n'-1)\frac {m(m+1)}{2}+m\)

D reg when m=3

≤7

≤4

≤4