using sage
I want to compare time of scalar multiplicity between ECC HECC with
security level 80
===========================================================================
So in ECC GF(next_prime(2^160)) then construct the curve, base point
=====================================================================
I'm not sure how in hyper elliptic curve;
I think
q = next_prime(2^80)
K.<x>=GF(q,'x')[]
f = x^5 + x^3 + 1
H = HyperellipticCurve(f, 0)
J = H.jacobian()
z = Integer(randrange(2, q-2))
D = J(H.lift_x(F(z))) # divisor
===============================================================
To compare time
ECC => `
%timeit (Integer(randrange(1, 2^160))) * base point
`
HECC =>
%timeit (Integer(randrange(1, 2^80))) * divisor
`
==============================================================
is this correct?
and if this correct, how ECC time = 13.2 millisecond;
HECC time = 185 millisecond
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