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use crate::hashers::Hashers;
use crate::types::{Adrs, SlhDsaSig, SlhPrivateKey, SlhPublicKey};
use crate::types::{Auth, ForsSig, HtSig, WotsSig, XmssSig, FORS_TREE};
use crate::{fors, helpers, hypertree, xmss};
use rand_core::CryptoRngCore;
/// Algorithm 17: `slh_keygen()` on page 34.
/// Generate an SLH-DSA key pair.
///
/// Input: (none) <br>
/// Output: SLH-DSA key pair `(SK, PK)`.
#[allow(clippy::similar_names)] // sk_seed and pk_seed
pub(crate) fn slh_keygen_with_rng<
const D: usize,
const H: usize,
const HP: usize,
const K: usize,
const LEN: usize,
const M: usize,
const N: usize,
>(
rng: &mut impl CryptoRngCore, hashers: &Hashers<K, LEN, M, N>,
) -> Result<(SlhPrivateKey<N>, SlhPublicKey<N>), &'static str> {
let (d32, hp32) = (u32::try_from(D).unwrap(), u32::try_from(HP).unwrap());
//
// 1: SK.seed ←$ B^n ▷ Set SK.seed, SK.prf, and PK.seed to random n-byte
let mut sk_seed = [0u8; N];
rng.try_fill_bytes(&mut sk_seed)
.map_err(|_| "Alg17: rng failed1")?;
// 2: SK.prf ←$ B^n ▷ strings using an approved random bit generator
let mut sk_prf = [0u8; N];
rng.try_fill_bytes(&mut sk_prf)
.map_err(|_| "Alg17: rng failed2")?;
// 3: PK.seed ←$ B^n
let mut pk_seed = [0u8; N];
rng.try_fill_bytes(&mut pk_seed)
.map_err(|_| "Alg17: rng failed3")?;
// 4:
// 5: ADRS ← toByte(0, 32) ▷ Generate the public key for the top-level XMSS tree
let mut adrs = Adrs::default();
// 6: ADRS.setLayerAddress(d − 1)
adrs.set_layer_address(d32 - 1);
// 7: PK.root ← xmss_node(SK.seed, 0, h′, PK.seed, ADRS)
let pk_root =
xmss::xmss_node::<H, HP, K, LEN, M, N>(hashers, &sk_seed, 0, hp32, &pk_seed, &adrs)?;
// 8:
// 9: return ( (SK.seed, SK.prf, PK.seed, PK.root), (PK.seed, PK.root) )
let pk = SlhPublicKey { pk_seed, pk_root };
let sk = SlhPrivateKey { sk_seed, sk_prf, pk_seed, pk_root };
Ok((sk, pk))
}
/// Algorithm 18: `slh_sign(M, SK)` on page 35.
/// Generate an SLH-DSA signature.
///
/// Input: Message `M`, private key `SK = (SK.seed, SK.prf, PK.seed, PK.root)`. <br>
/// Output: SLH-DSA signature `SIG`.
#[allow(clippy::similar_names)]
#[allow(clippy::cast_possible_truncation)] // temporary, investigating idx_leaf int sizes
pub(crate) fn slh_sign_with_rng<
const A: usize,
const D: usize,
const H: usize,
const HP: usize,
const K: usize,
const LEN: usize,
const M: usize,
const N: usize,
>(
rng: &mut impl CryptoRngCore, hashers: &Hashers<K, LEN, M, N>, m: &[u8], sk: &SlhPrivateKey<N>,
randomize: bool,
) -> Result<SlhDsaSig<A, D, HP, K, LEN, N>, &'static str> {
let (d32, h32) = (u32::try_from(D).unwrap(), u32::try_from(H).unwrap());
//
// 1: ADRS ← toByte(0, 32)
let mut adrs = Adrs::default();
// 2:
// 3: opt_rand ← PK.seed ▷ Set opt_rand to either PK.seed
let mut opt_rand = sk.pk_seed;
// 4: if (RANDOMIZE) then ▷ or to a random n-byte string
if randomize {
// 5: opt_rand ←$ Bn
rng.try_fill_bytes(&mut opt_rand)
.map_err(|_| "Alg17: rng failed")?;
// 6: end if
}
// 7: R ← PRF_msg(SK.prf, opt_rand, M) ▷ Generate randomizer
let r = (hashers.prf_msg)(&sk.sk_prf, &opt_rand, m);
// 8: SIG ← R
let mut sig = SlhDsaSig {
randomness: r, // here!
fors_sig: ForsSig {
private_key_value: [[0u8; N]; K],
auth: core::array::from_fn(|_| Auth { tree: [[0u8; N]; A] }),
},
ht_sig: HtSig {
xmss_sigs: core::array::from_fn(|_| XmssSig {
sig_wots: WotsSig { data: [[0u8; N]; LEN] },
auth: [[0u8; N]; HP],
}),
},
};
// 9:
// 10: digest ← H_msg(R, PK.seed, PK.root, M) ▷ Compute message digest
let digest = (hashers.h_msg)(&r, &sk.pk_seed, &sk.pk_root, m);
// 11: md ← digest[0 : ceil(k·a/8)] ▷ first ceil(k·a/8) bytes
let index1 = (K * A + 7) / 8;
let md = &digest[0..index1];
// 12: tmp_idx_tree ← digest[ceil(k·a/8) : ceil(k·a/8) + ceil((h-h/d)/8)] ▷ next ceil((h-h/d)/8) bytes
let index2 = index1 + (H - H / D + 7) / 8;
let tmp_idx_tree = &digest[index1..index2];
// 13: tmp_idx_leaf ← digest[ceil(k·a/8) + ceil((h-h/d)/8) : ceil(k·a/8) + ceil((h-h/d)/8) + ceil(h/8d)] ▷ next ceil(h/8d) bytes
let index3 = index2 + (H + 8 * D - 1) / (8 * D);
let tmp_idx_leaf = &digest[index2..index3];
// 14:
// 15: idx_tree ← toInt(tmp_idx_tree, ceil((h-h/d)/8)) mod 2^{h−h/d}
let idx_tree = helpers::to_int(tmp_idx_tree, (h32 - h32 / d32 + 7) / 8)
& (u64::MAX >> (64 - (h32 - h32 / d32)));
// 16: idx_leaf ← toInt(tmp_idx_leaf, ceil(h/8d) mod 2^{h/d}
let idx_leaf = helpers::to_int(tmp_idx_leaf, (h32 + 8 * d32 - 1) / (8 * d32))
& (u64::MAX >> (64 - h32 / d32));
// 17:
// 18: ADRS.setTreeAddress(idx_tree)
adrs.set_tree_address(idx_tree);
// 19: ADRS.setTypeAndClear(FORS_TREE)
adrs.set_type_and_clear(FORS_TREE);
// 20: ADRS.setKeyPairAddress(idxleaf)
adrs.set_key_pair_address(idx_leaf as u32);
// 21: SIG_FORS ← fors_sign(md, SK.seed, PK.seed, ADRS)
// 22: SIG ← SIG ∥ SIG_FORS
sig.fors_sig = fors::fors_sign(hashers, md, &sk.sk_seed, &adrs, &sk.pk_seed)?;
// 23:
// 24: PK_FORS ← fors_pkFromSig(SIG_FORS , md, PK.seed, ADRS) ▷ Get FORS key
let pk_fors =
fors::fors_pk_from_sig::<A, K, LEN, M, N>(hashers, &sig.fors_sig, md, &sk.pk_seed, &adrs);
// 25:
// 26: SIG_HT ← ht_sign(PK_FORS , SK.seed, PK.seed, idx_tree, idx_leaf)
// 27: SIG ← SIG ∥ SIG_HT
sig.ht_sig = hypertree::ht_sign::<D, H, HP, K, LEN, M, N>(
hashers,
&pk_fors.key,
&sk.sk_seed,
&sk.pk_seed,
idx_tree,
idx_leaf as u32,
)?;
// 28: return SIG
Ok(sig)
}
/// Algorithm 19: `slh_verify(M, SIG, PK)`
/// Verify an SLH-DSA signature.
///
/// Input: Message `M`, signature `SIG`, public key `PK = (PK.seed, PK.root)`. <br>
/// Output: Boolean.
#[allow(clippy::cast_possible_truncation)] // TODO: temporary
#[allow(clippy::similar_names)]
pub(crate) fn slh_verify<
const A: usize,
const D: usize,
const H: usize,
const HP: usize,
const K: usize,
const LEN: usize,
const M: usize,
const N: usize,
>(
hashers: &Hashers<K, LEN, M, N>, m: &[u8], sig: &SlhDsaSig<A, D, HP, K, LEN, N>,
pk: &SlhPublicKey<N>,
) -> bool {
let (d32, h32) = (u32::try_from(D).unwrap(), u32::try_from(H).unwrap());
// 1: if |SIG| != (1 + k(1 + a) + h + d · len) · n then
// 2: return false
// 3: end if
// The above size is performed in the wrapper/adapter deserialize function
// 4: ADRS ← toByte(0, 32)
let mut adrs = Adrs::default();
// 5: R ← SIG.getR() ▷ SIG[0 : n]
let r = &sig.randomness;
// 6: SIG_FORS ← SIG.getSIG_FORS() ▷ SIG[n : (1 + k(1 + a)) · n]
let sig_fors = &sig.fors_sig;
// 7: SIG_HT ← SIG.getSIG_HT() ▷ SIG[(1 + k(1 + a)) · n : (1 + k(1 + a) + h + d · len) · n]
let sig_ht = &sig.ht_sig;
// 8:
// 9: digest ← Hmsg(R, PK.seed, PK.root, M) ▷ Compute message digest
let digest = (hashers.h_msg)(r, &pk.pk_seed, &pk.pk_root, m);
// 10: md ← digest[0 : ceil(k·a/8)] ▷ first ceil(k·a/8) bytes
let index1 = (K * A + 7) / 8;
let md = &digest[0..index1];
// 11: tmp_idx_tree ← digest[ceil(k·a/8) : ceil(k·a/8) + ceil((h - h/d)/8)] ▷ next ceil((h - h/d)/8) bytes
let index2 = index1 + (H - H / D + 7) / 8;
let tmp_idx_tree = &digest[index1..index2];
// 12: tmp_idx_leaf ← digest[ceil(k·a/8) + ceil((h - h/d)/8) : ceil(k·a/8) + ceil((h - h/d)/8) + ceil(h/8d)] ▷ next ceil(h/8d) bytes
let index3 = index2 + (H + 8 * D - 1) / (8 * D);
let tmp_idx_leaf = &digest[index2..index3];
// 13:
// 14: idx_tree ← toInt(tmp_idx_tree, ceil((h - h/d)/8)) mod 2^{h−h/d}
let idx_tree = helpers::to_int(tmp_idx_tree, (h32 - h32 / d32 + 7) / 8)
& (u64::MAX >> (64 - (h32 - h32 / d32)));
// 15: idx_leaf ← toInt(tmp_idx_leaf, ceil(h/8d) mod 2^{h/d}
let idx_leaf = helpers::to_int(tmp_idx_leaf, (h32 + 8 * d32 - 1) / (8 * d32))
& (u64::MAX >> (64 - h32 / d32));
// 16:
// 17: ADRS.setTreeAddress(idx_tree) ▷ Compute FORS public key
adrs.set_tree_address(idx_tree);
// 18: ADRS.setTypeAndClear(FORS_TREE)
adrs.set_type_and_clear(FORS_TREE);
// 19: ADRS.setKeyPairAddress(idx_leaf)
adrs.set_key_pair_address(idx_leaf as u32);
// 20:
// 21: PK_FORS ← fors_pkFromSig(SIG_FORS, md, PK.seed, ADRS)
let pk_fors =
fors::fors_pk_from_sig::<A, K, LEN, M, N>(hashers, sig_fors, md, &pk.pk_seed, &adrs);
// 22:
// 23: return ht_verify(PK_FORS, SIG_HT, PK.seed, idx_tree , idx_leaf, PK.root)
hypertree::ht_verify::<D, HP, K, LEN, M, N>(
hashers,
&pk_fors.key,
sig_ht,
&pk.pk_seed,
idx_tree,
idx_leaf as u32,
&pk.pk_root,
)
}