fdh-rsa: use Eqaf

This commit is contained in:
swrup 2026-02-24 19:31:39 +01:00
parent 61150598d2
commit 836b9ff64a
4 changed files with 106 additions and 117 deletions

View file

@ -248,18 +248,9 @@ module RsaPrivateKey = struct
Jsont.of_of_string ~kind:"RsaPrivateKey" of_b32 ~enc:to_b32
end
module RsaSignature : sig
type t
val jsont : t Jsont.t
val sign : key:RsaPrivateKey.t -> string -> t
end = struct
module RsaSignature = struct
type t = string
(* TODO crypto
this is a placeholder signature algorithm *)
let sign ~key s = Mirage_crypto_pk.Rsa.PKCS1.sig_encode ~key s
let jsont =
let of_b32 s = B32.decode s in
let to_b32 t = B32.encode t in
@ -274,104 +265,3 @@ type rsa_priv = RsaPrivateKey.t
type rsa_pub = RsaPublicKey.t
type rsa_sig = RsaSignature.t
type denom_hash = Hash.DenominationHash.t
(* WIP *)
module FDH_RSA = struct
open Mirage_crypto_pk
module Kdf = struct
module XTR = Hkdf.Make (Digestif.SHA512)
module PRF = Hkdf.Make (Digestif.SHA256)
let kdf =
fun ~xts ~ikm ~ctx ~len ->
let prk = XTR.extract ~salt:xts ikm in
let okm = PRF.expand ~prk ~info:ctx len in
okm
let kdf_mod_n ~n ~xts ~ikm ~ctx =
let nbits = Z.numbits n in
let len = ((nbits - 1) / 8) + 1 in
assert (8 * len = nbits);
let rec go ctr =
(* cat ctx ctr_be *)
let ctx =
let ctx_len = String.length ctx in
let b = Bytes.create (ctx_len + 2) in
Bytes.blit_string ctx 0 b 0 ctx_len;
Bytes.set_uint16_be b ctx_len ctr;
Bytes.unsafe_to_string b
in
let okm = kdf ~xts ~ikm ~ctx ~len in
assert (String.length okm = len);
let r = Z_extra.of_octets_be okm in
if Z.gt r n then go (succ ctr) else r
in
go 0
end
let gcd_validate r n =
match Z.equal (Z.gcd r n) Z.one with
| true -> ()
| false -> Fmt.failwith "RSA key is malicious"
let rsa_full_domain_hash pub msg =
let xts = RsaPublicKey.to_octets pub in
let ctx = "RSA-FDA FTpsW!" in
let r = Kdf.kdf_mod_n ~n:pub.n ~xts ~ikm:msg ~ctx in
gcd_validate r pub.n; r
let rsa_blinding_key_derive (pub : RsaPublicKey.t) bks =
let xts = "Blinding KDF extractor HMAC key" in
let ctx = "Blinding KDF" in
let r = Kdf.kdf_mod_n ~n:pub.n ~xts ~ikm:bks ~ctx in
gcd_validate r pub.n; r
let rsa_blind pub ~bks ~msg =
let data = rsa_full_domain_hash pub msg in
let bkey = rsa_blinding_key_derive pub bks in
(* can we just use [powm] here instead? *)
let r_e = Z.powm_sec bkey pub.e pub.n in
let data_r_e = Z.rem (Z.mul data r_e) pub.n in
Z_extra.to_octets_be data_r_e
(* -- WIP crypto -- *)
(* TODO crypto
not sure about signature scheme used by taler
libgnunetutil crypto_rsa.c use "(flags raw)" => no padding *)
(* decrypt <=> sign *)
let rsa_sign_z priv r =
let data = Z_extra.to_octets_be r in
Rsa.decrypt ~crt_hardening:true ~key:priv data
(* TODO crypto
look into mirage-crypto for this
use Eqaf for constant time string compare *)
let rsa_verify_z pub r sig_ =
let data = Z_extra.to_octets_be r in
let sig_' = Rsa.encrypt ~key:pub data in
match String.equal sig_ sig_' with
| false -> Fmt.error "RSA signature verification failed"
| true -> Ok ()
let rsa_sign_fdh priv msg =
let pub = Rsa.pub_of_priv priv in
let r = rsa_full_domain_hash pub msg in
rsa_sign_z priv r
let rsa_unblind pub ~bks ~sig_ =
let bkey = rsa_blinding_key_derive pub bks in
let r_inv =
try Z.invert bkey pub.n
with Division_by_zero ->
(* => gcd(r,n) <> 1, should be already checked for *)
assert false
in
let ubsig = Z.rem (Z.mul sig_ r_inv) pub.n in
ubsig
let rsa_verify pub ~msg ~sig_ =
let r = rsa_full_domain_hash pub msg in
rsa_verify_z pub r sig_
end