hbs-lms 0.1.1

Pure Rust implementation of the Leighton Micali Signature scheme with support for key generation, signature generation and verification.
Documentation
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use crate::{
    constants::{
        LmsTreeIdentifier, D_TOPSEED, ILEN, LMS_LEAF_IDENTIFIERS_SIZE, MAX_ALLOWED_HSS_LEVELS,
        MAX_HASH_SIZE, MAX_SEED_LEN, REF_IMPL_MAX_PRIVATE_KEY_SIZE, SEED_CHILD_SEED,
        SEED_SIGNATURE_RANDOMIZER_SEED, TOPSEED_D, TOPSEED_LEN, TOPSEED_SEED, TOPSEED_WHICH,
    },
    hasher::HashChain,
    hss::{definitions::HssPrivateKey, seed_derive::SeedDerive},
    util::{helper::read_and_advance, ArrayVecZeroize},
    HssParameter, LmotsAlgorithm, LmsAlgorithm,
};

use core::{convert::TryFrom, convert::TryInto, marker::PhantomData};
use tinyvec::ArrayVec;
use zeroize::{Zeroize, ZeroizeOnDrop};

#[derive(Debug, Default, Clone, PartialEq, Eq, Zeroize, ZeroizeOnDrop)]
pub struct Seed<H: HashChain> {
    data: ArrayVecZeroize<u8, MAX_SEED_LEN>,
    phantom: PhantomData<H>,
}

impl<H: HashChain> Seed<H> {
    #[allow(clippy::len_without_is_empty)]
    pub fn len(&self) -> usize {
        H::OUTPUT_SIZE as usize
    }

    pub fn as_slice(&self) -> &[u8] {
        &self.data.as_slice()[..H::OUTPUT_SIZE as usize]
    }

    pub fn as_mut_slice(&mut self) -> &mut [u8] {
        &mut self.data.as_mut_slice()[..H::OUTPUT_SIZE as usize]
    }
}

impl<H: HashChain> From<[u8; MAX_SEED_LEN]> for Seed<H> {
    fn from(data: [u8; MAX_SEED_LEN]) -> Self {
        Seed {
            data: ArrayVecZeroize(ArrayVec::from_array_len(data, MAX_SEED_LEN)),
            phantom: PhantomData::default(),
        }
    }
}

impl<H: HashChain> TryFrom<ArrayVec<[u8; MAX_SEED_LEN]>> for Seed<H> {
    type Error = &'static str;

    fn try_from(value: ArrayVec<[u8; MAX_SEED_LEN]>) -> Result<Self, Self::Error> {
        if value.len() == H::OUTPUT_SIZE as usize {
            Ok(Seed {
                data: ArrayVecZeroize(value),
                phantom: PhantomData::default(),
            })
        } else {
            Err("Can only construct seed from data of the HashChain output length")
        }
    }
}

/**
To be compatible with the reference implementation
 */

#[derive(Default, Zeroize, ZeroizeOnDrop)]
pub struct SeedAndLmsTreeIdentifier<H: HashChain> {
    pub seed: Seed<H>,
    pub lms_tree_identifier: LmsTreeIdentifier,
}

impl<H: HashChain> SeedAndLmsTreeIdentifier<H> {
    pub fn new(seed: &Seed<H>, lms_tree_identifier: &LmsTreeIdentifier) -> Self {
        let mut result = SeedAndLmsTreeIdentifier::default();

        result.seed.as_mut_slice().copy_from_slice(seed.as_slice());
        result
            .lms_tree_identifier
            .copy_from_slice(lms_tree_identifier);

        result
    }
}

#[derive(Clone, Default, PartialEq, Eq, Zeroize, ZeroizeOnDrop)]
pub struct ReferenceImplPrivateKey<H: HashChain> {
    pub compressed_used_leafs_indexes: CompressedUsedLeafsIndexes,
    pub compressed_parameter: CompressedParameterSet,
    pub seed: Seed<H>,
}

impl<H: HashChain> ReferenceImplPrivateKey<H> {
    fn wipe(&mut self) {
        self.seed = Seed::default();
        self.compressed_parameter = CompressedParameterSet::default();
        self.compressed_used_leafs_indexes = CompressedUsedLeafsIndexes::new(0);
    }

    pub fn generate(parameters: &[HssParameter<H>], seed: &Seed<H>) -> Result<Self, ()> {
        let private_key: ReferenceImplPrivateKey<H> = ReferenceImplPrivateKey {
            compressed_used_leafs_indexes: CompressedUsedLeafsIndexes::new(0),
            compressed_parameter: CompressedParameterSet::from(parameters)?,
            seed: seed.clone(),
        };

        Ok(private_key)
    }

    pub fn to_binary_representation(&self) -> ArrayVec<[u8; REF_IMPL_MAX_PRIVATE_KEY_SIZE]> {
        let mut result = ArrayVec::new();

        result.extend_from_slice(&self.compressed_used_leafs_indexes.count.to_be_bytes());
        result.extend_from_slice(&self.compressed_parameter.0);
        result.extend_from_slice(self.seed.as_slice());

        result
    }

    pub fn from_binary_representation(data: &[u8]) -> Result<Self, ()> {
        if data.len() != REF_IMPL_MAX_PRIVATE_KEY_SIZE - MAX_SEED_LEN + H::OUTPUT_SIZE as usize {
            return Err(());
        }

        let mut result = Self::default();
        let mut index = 0;

        let compressed_used_leafs_indexes =
            read_and_advance(data, LMS_LEAF_IDENTIFIERS_SIZE, &mut index);
        result.compressed_used_leafs_indexes =
            CompressedUsedLeafsIndexes::from_slice(compressed_used_leafs_indexes);

        let compressed_parameter = read_and_advance(data, MAX_ALLOWED_HSS_LEVELS, &mut index);
        result.compressed_parameter = CompressedParameterSet::from_slice(compressed_parameter)?;

        let seed_len = result.seed.len();
        result
            .seed
            .as_mut_slice()
            .copy_from_slice(read_and_advance(data, seed_len, &mut index));

        Ok(result)
    }

    pub fn generate_root_seed_and_lms_tree_identifier(&self) -> SeedAndLmsTreeIdentifier<H> {
        let mut hash_preimage = [0u8; TOPSEED_LEN];
        let mut hash_postimage =
            ArrayVec::from_array_len([0u8; MAX_HASH_SIZE], H::OUTPUT_SIZE as usize);

        hash_preimage[TOPSEED_D] = (D_TOPSEED >> 8) as u8;
        hash_preimage[TOPSEED_D + 1] = (D_TOPSEED & 0xff) as u8;

        let start = TOPSEED_SEED;
        let end = start + H::OUTPUT_SIZE as usize;
        hash_preimage[start..end].copy_from_slice(self.seed.as_slice());

        let mut hasher = H::default();

        hasher.update(&hash_preimage);
        hash_postimage.copy_from_slice(hasher.finalize_reset().as_slice());

        hash_preimage[start..end].copy_from_slice(&hash_postimage);

        hash_preimage[TOPSEED_WHICH] = 0x01;
        hasher.update(&hash_preimage);

        let seed = Seed::try_from(hasher.finalize_reset()).unwrap();

        hash_preimage[TOPSEED_WHICH] = 0x02;
        hasher.update(&hash_preimage);

        let mut lms_tree_identifier = LmsTreeIdentifier::default();
        lms_tree_identifier.copy_from_slice(&hasher.finalize_reset()[..ILEN]);

        SeedAndLmsTreeIdentifier::new(&seed, &lms_tree_identifier)
    }

    pub fn increment(&mut self, hss_private_key: &HssPrivateKey<H>) {
        let tree_heights = hss_private_key
            .private_key
            .iter()
            .map(|pk| pk.lms_parameter.get_tree_height())
            .collect();
        self.compressed_used_leafs_indexes
            .increment(&tree_heights)
            .unwrap_or_else(|_| self.wipe());
    }
}

pub fn generate_child_seed_and_lms_tree_identifier<H: HashChain>(
    parent_seed: &SeedAndLmsTreeIdentifier<H>,
    parent_lms_leaf_identifier: &u32,
) -> SeedAndLmsTreeIdentifier<H> {
    let mut derive = SeedDerive::new(&parent_seed.seed, &parent_seed.lms_tree_identifier);

    derive.set_lms_leaf_identifier(*parent_lms_leaf_identifier);
    derive.set_child_seed(SEED_CHILD_SEED);

    let seed = Seed::try_from(derive.seed_derive(true)).unwrap();
    let mut lms_tree_identifier = LmsTreeIdentifier::default();
    lms_tree_identifier.copy_from_slice(&derive.seed_derive(false)[..ILEN]);

    SeedAndLmsTreeIdentifier::new(&seed, &lms_tree_identifier)
}

pub fn generate_signature_randomizer<H: HashChain>(
    child_seed: &SeedAndLmsTreeIdentifier<H>,
    parent_lms_leaf_identifier: &u32,
) -> ArrayVec<[u8; MAX_HASH_SIZE]> {
    let mut derive = SeedDerive::new(&child_seed.seed, &child_seed.lms_tree_identifier);

    derive.set_lms_leaf_identifier(*parent_lms_leaf_identifier);
    derive.set_child_seed(SEED_SIGNATURE_RANDOMIZER_SEED);

    derive.seed_derive(false)
}

const PARAM_SET_END: u8 = 0xff; // Marker for end of parameter set

#[derive(Clone, PartialEq, Eq, Zeroize, ZeroizeOnDrop)]
pub struct CompressedParameterSet([u8; MAX_ALLOWED_HSS_LEVELS]);

impl Default for CompressedParameterSet {
    fn default() -> Self {
        Self([PARAM_SET_END; MAX_ALLOWED_HSS_LEVELS])
    }
}

impl CompressedParameterSet {
    pub fn from_slice(data: &[u8]) -> Result<Self, ()> {
        if data.len() != MAX_ALLOWED_HSS_LEVELS {
            return Err(());
        }

        let mut result = CompressedParameterSet::default();
        result.0.copy_from_slice(data);

        Ok(result)
    }

    pub fn from<H: HashChain>(parameters: &[HssParameter<H>]) -> Result<Self, ()> {
        let mut result = CompressedParameterSet::default();

        for (i, parameter) in parameters.iter().enumerate() {
            let lmots = parameter.get_lmots_parameter();
            let lms = parameter.get_lms_parameter();

            let lmots_type = lmots.get_type_id() as u8;
            let lms_type = lms.get_type_id() as u8;

            result.0[i] = (lms_type << 4) + lmots_type;
        }

        Ok(result)
    }

    pub fn to<H: HashChain>(
        &self,
    ) -> Result<ArrayVec<[HssParameter<H>; MAX_ALLOWED_HSS_LEVELS]>, ()> {
        let mut result = ArrayVec::new();

        for level in 0..MAX_ALLOWED_HSS_LEVELS {
            let parameter = self.0[level];

            if parameter == PARAM_SET_END {
                break;
            }

            let lms_type = parameter >> 4;
            let lmots_type = parameter & 0x0f;

            let lms = LmsAlgorithm::from(lms_type as u32);
            let lmots = LmotsAlgorithm::from(lmots_type as u32);

            result.extend_from_slice(&[HssParameter::new(lmots, lms)]);
        }

        if result.is_empty() {
            return Err(());
        }

        Ok(result)
    }
}

#[derive(Clone, Default, PartialEq, Eq, Zeroize, ZeroizeOnDrop)]
pub struct CompressedUsedLeafsIndexes {
    count: u64,
}

impl CompressedUsedLeafsIndexes {
    pub fn new(count: u64) -> Self {
        CompressedUsedLeafsIndexes { count }
    }

    pub fn from_slice(data: &[u8]) -> Self {
        CompressedUsedLeafsIndexes {
            count: u64::from_be_bytes(data.try_into().unwrap()),
        }
    }

    pub fn to<H: HashChain>(
        &self,
        parameters: &ArrayVec<[HssParameter<H>; MAX_ALLOWED_HSS_LEVELS]>,
    ) -> [u32; MAX_ALLOWED_HSS_LEVELS] {
        let mut lms_leaf_identifier_set = [0u32; MAX_ALLOWED_HSS_LEVELS];
        let mut compressed_used_leafs_indexes = self.count;

        for (i, parameter) in parameters.iter().enumerate().rev() {
            let tree_height: u32 = parameter.get_lms_parameter().get_tree_height().into();
            lms_leaf_identifier_set[i] =
                (compressed_used_leafs_indexes & (2u32.pow(tree_height) - 1) as u64) as u32;
            compressed_used_leafs_indexes >>= tree_height;
        }
        lms_leaf_identifier_set
    }

    pub fn increment(
        &mut self,
        tree_heights: &ArrayVec<[u8; MAX_ALLOWED_HSS_LEVELS]>,
    ) -> Result<(), ()> {
        let total_tree_height: u32 = tree_heights.iter().sum::<u8>().into();

        if self.count >= (2u64.pow(total_tree_height) - 1) {
            return Err(());
        }

        self.count += 1;
        Ok(())
    }
}

#[cfg(test)]
mod tests {
    use super::{CompressedParameterSet, ReferenceImplPrivateKey};
    use crate::{
        constants::MAX_ALLOWED_HSS_LEVELS, hss::definitions::HssPrivateKey, HssParameter,
        LmotsAlgorithm, LmsAlgorithm, Sha256_256,
    };

    use crate::util::helper::test_helper::gen_random_seed;
    use tinyvec::ArrayVec;

    type Hasher = Sha256_256;

    #[test]
    fn exhaust_state() {
        let lmots = LmotsAlgorithm::LmotsW4;
        let lms = LmsAlgorithm::LmsH5;
        let parameters = [HssParameter::<Hasher>::new(lmots, lms)];

        let seed = gen_random_seed::<Hasher>();
        let mut rfc_private_key = ReferenceImplPrivateKey::generate(&parameters, &seed).unwrap();

        let hss_private_key = HssPrivateKey::from(&rfc_private_key, &mut None).unwrap();

        let seed = rfc_private_key.seed.clone();

        let tree_heights = parameters
            .iter()
            .map(|parameter| parameter.get_lms_parameter().get_tree_height())
            .collect::<ArrayVec<[u8; MAX_ALLOWED_HSS_LEVELS]>>();

        for _ in 0..2u64.pow(tree_heights.as_slice().iter().sum::<u8>().into()) {
            assert_eq!(rfc_private_key.seed, seed);
            rfc_private_key.increment(&hss_private_key);
        }

        assert_ne!(rfc_private_key.seed, seed);
    }

    #[test]
    #[should_panic(expected = "Parsing should panic!")]
    fn parse_exhausted_state() {
        let lmots = LmotsAlgorithm::LmotsW4;
        let lms = LmsAlgorithm::LmsH5;
        let parameters = [HssParameter::<Hasher>::new(lmots, lms)];

        let seed = gen_random_seed::<Hasher>();
        let mut rfc_private_key = ReferenceImplPrivateKey::generate(&parameters, &seed).unwrap();

        let hss_private_key = HssPrivateKey::from(&rfc_private_key, &mut None).unwrap();
        let keypair_lifetime = hss_private_key.get_lifetime();

        for _ in 0..keypair_lifetime {
            let _ = rfc_private_key
                .compressed_parameter
                .to::<Hasher>()
                .expect("Parsing should complete without error");
            rfc_private_key.increment(&hss_private_key);
        }
        let _ = rfc_private_key
            .compressed_parameter
            .to::<Hasher>()
            .expect("Parsing should panic!");
    }

    #[test]
    fn test_binary_representation_compressed_parameter() {
        let lmots_first = LmotsAlgorithm::LmotsW4;
        let lmots_second = LmotsAlgorithm::LmotsW8;

        let lms_first = LmsAlgorithm::LmsH5;
        let lms_second = LmsAlgorithm::LmsH10;

        let parameter = [
            HssParameter::new(lmots_first, lms_first),
            HssParameter::new(lmots_second, lms_second),
        ];

        let compressed = CompressedParameterSet::from(&parameter).unwrap();
        let arr = compressed.to::<Hasher>().unwrap();

        for (i, p) in arr.iter().enumerate() {
            assert!(p == &parameter[i])
        }

        assert!(compressed == CompressedParameterSet::from_slice(&compressed.0).unwrap());
    }

    #[test]
    fn test_binary_representation_rfc_private_key() {
        let parameters = [
            HssParameter::construct_default_parameters(),
            HssParameter::construct_default_parameters(),
        ];

        let seed = gen_random_seed::<Hasher>();
        let key = ReferenceImplPrivateKey::generate(&parameters, &seed).unwrap();

        let binary_representation = key.to_binary_representation();
        let deserialized = ReferenceImplPrivateKey::<Hasher>::from_binary_representation(
            binary_representation.as_slice(),
        )
        .unwrap();

        assert!(key == deserialized);
    }
}