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(**
https://www.secg.org/SEC2-Ver-1.0.pdf, page 16
Base field: 115792089210356248762697446949407573530086143415290314195533631308867097853951 (255 bits - 32 bytes)
Scalar field: 115792089210356248762697446949407573529996955224135760342422259061068512044369 (255 bits - 32 bytes)
Base field multiplicative subgroup decomposition:
2 * 3 * 5^2 * 17 * 257 * 641 * 1531 * 65537 * 490463 * 6700417 * 835945042244614951780389953367877943453916927241
Prime field multiplication subgroup decomposition:
2^4 * 3 * 71 * 131 * 373 * 3407 * 17449 * 38189 * 306279700557793653483863914058668676200382493196645316621
*)
module Fq = Ff.MakeFp (struct
let prime_order =
Z.of_string
"115792089210356248762697446949407573530086143415290314195533631308867097853951"
end)
module Fp = Ff.MakeFp (struct
let prime_order =
Z.of_string
"115792089210356248762697446949407573529996955224135760342422259061068512044369"
end)
module Jacobian =
Ec.MakeJacobianWeierstrass (Fq) (Fp)
(struct
let a =
Fq.of_string
"115792089210356248762697446949407573530086143415290314195533631308867097853948"
let b =
Fq.of_string
"41058363725152142129326129780047268409114441015993725554835256314039467401291"
let cofactor = Z.one
let bytes_generator =
Bytes.concat
Bytes.empty
[
Fq.(
to_bytes
(of_string
"48439561293906451759052585252797914202762949526041747995844080717082404635286"));
Fq.(
to_bytes
(of_string
"36134250956749795798585127919587881956611106672985015071877198253568414405109"));
Fq.(to_bytes one);
]
end)
module Projective =
Ec.MakeProjectiveWeierstrass (Fq) (Fp)
(struct
let a =
Fq.of_string
"115792089210356248762697446949407573530086143415290314195533631308867097853948"
let b =
Fq.of_string
"41058363725152142129326129780047268409114441015993725554835256314039467401291"
let cofactor = Z.one
let bytes_generator =
Bytes.concat
Bytes.empty
[
Fq.(
to_bytes
(of_string
"48439561293906451759052585252797914202762949526041747995844080717082404635286"));
Fq.(
to_bytes
(of_string
"36134250956749795798585127919587881956611106672985015071877198253568414405109"));
Fq.(to_bytes one);
]
end)
module Affine =
Ec.MakeAffineWeierstrass (Fq) (Fp)
(struct
let a =
Fq.of_string
"115792089210356248762697446949407573530086143415290314195533631308867097853948"
let b =
Fq.of_string
"41058363725152142129326129780047268409114441015993725554835256314039467401291"
let cofactor = Z.one
let bytes_generator =
Bytes.concat
Bytes.empty
[
Fq.(
to_bytes
(of_string
"48439561293906451759052585252797914202762949526041747995844080717082404635286"));
Fq.(
to_bytes
(of_string
"36134250956749795798585127919587881956611106672985015071877198253568414405109"));
]
end)
let from_affine_weierstrass_to_jacobian_weierstrass p =
Ec.from_affine_weierstrass_to_jacobian_weierstrass
(module Affine)
(module Jacobian)
p
let from_affine_weierstrass_to_projective_weierstrass p =
Ec.from_affine_weierstrass_to_projective_weierstrass
(module Affine)
(module Projective)
p
let from_jacobian_weierstrass_to_affine_weierstrass p =
Ec.from_jacobian_weierstrass_to_affine_weierstrass
(module Jacobian)
(module Affine)
p
let from_projective_weierstrass_to_affine_weierstrass p =
Ec.from_projective_weierstrass_to_affine_weierstrass
(module Projective)
(module Affine)
p