def hermitian(q0):
'''
TODO: add reference to Stichtenoth paper
'''
data = {}
data['q0'] = q0
data['family'] = 'hermitian'
data['q'] = q = q0**2
data['m'] = m = q0 + 1
data['g'] = g = q0 * (q0 - 1) / 2
#generating values for d(i) where i is taken mod m
dlist = []
for d in range(m):
dlist.append([(-d) % m, d * (q0 - 1)])
dlist.sort()
data['dvalp'] = data['dvalq'] = [i[1] for i in dlist]
data['kq'] = 0
data['n'] = q + 1 + 2 * g * q0
data['curve_eq_latex'] = 'y^{q + 1} = x^q + x'
data['curve_eq'] = 'y^(%(q0)s + 1) - x^%(q0)s - x' % data
data['P'] = '[0 , 0 , 1]'
data['Q'] = '[1 , 0 , 0]'
data['ddeg'] = q0**3 - 1
data['dq'] = -1
c = Curve()
c._data = data
return c
def suzuki(q0):
'''
TODO: add reference
'''
data = {}
data['q0'] = q0
data['family'] = 'suzuki'
data['q'] = q = 2 * q0**2
data['m'] = m = q + 2 * q0 + 1
data['g'] = g = q0 * (q - 1)
#generating values for d(i) where i is taken mod m
dlist = []
for a in range(-q0, q0 + 1):
for b in range(-q0 + abs(a), q0 - abs(a) + 1):
dlist.append([(a * (q0 + 1) + b * q0 - q0 * (q0 + 1)) % m,
(q0 - a) * (q - 1)])
dlist.sort()
data['dvalp'] = data['dvalq'] = [i[1] for i in dlist]
data['kq'] = 0
data['n'] = q + 1 + 2 * g * q0
data['curve_eq_latex'] = 'y^%(q)s + y = x^%(q0)s (x^%(q)s + x)' % data
data['curve_eq_code'] = 'y^%(q)s + y - x^%(q0)s * (x^%(q)s + x)' % data
data['P'] = '[0 , 0 , 1]'
data['Q'] = '[1 , 0 , 0]'
data['ddeg'] = q**2 - 1
data['dq'] = -1
c = Curve()
c._data = data
return c
