arcium-core-utils 0.4.5

Arcium core utils
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
use std::fmt::Debug;

use primitives::{
    algebra::{
        field::{binary::Gf2_128, FieldExtension},
        BoxedUint,
    },
    correlated_randomness::{
        dabits::{DaBit, DaBits},
        pow::{PowPair, PowPairs},
        singlets::{Singlet, Singlets},
        triples::{Triple, Triples},
    },
    hashing::hash,
    random::{BaseRng, CryptoRngCore, Random, RandomWith, Seed, SeedableRng},
    sharing::GlobalFieldKey,
    types::Positive,
    utils::IntoExactSizeIterator,
};
use zeroize::Zeroize;

use super::{TestBatchSize, TrustedGenerator};

/// Trusted dealer for generating preprocessing elements for all peers (preprocessing shares must be
/// dealt to each peer).
#[derive(Clone, Debug)]
pub struct GlobalDealer<M = TestBatchSize> {
    n_parties: usize,
    alphas_seed: Seed,
    rng: BaseRng,

    _marker: std::marker::PhantomData<M>,
}

impl<M> Drop for GlobalDealer<M> {
    fn drop(&mut self) {
        self.alphas_seed.zeroize();
    }
}

impl<M> GlobalDealer<M> {
    /// Creates a global trusted dealer to generate correct preprocessing by seeding
    /// an Rng with the provided Seed.
    ///
    /// WARNING! The seed must be unique per session and disposed of after use
    /// to ensure security. Always prefer the `new` constructor unless you
    /// have a specific reason to manage the seed manually.
    pub fn new_with(n_parties: usize, alphas_seed: Seed) -> Self {
        let rng_seed = hash(&[alphas_seed.as_ref(), "global dealer".as_bytes()]).into();
        Self {
            n_parties,
            alphas_seed,
            rng: BaseRng::from_seed(rng_seed),
            _marker: std::marker::PhantomData,
        }
    }

    /// Creates a global trusted dealer to generate correct preprocessing.
    pub fn new(n_parties: usize) -> Self {
        let alphas_seed = Seed::random(&mut rand::thread_rng());
        Self::new_with(n_parties, alphas_seed)
    }

    pub fn n_parties(&self) -> usize {
        self.n_parties
    }
}

impl<M> RandomWith<usize> for GlobalDealer<M> {
    fn random_with(mut rng: impl CryptoRngCore, n_parties: usize) -> Self {
        Self {
            n_parties,
            alphas_seed: Seed::random(&mut rng),
            rng: BaseRng::from_rng(&mut rng).unwrap(),
            _marker: std::marker::PhantomData,
        }
    }
}

impl<M> GlobalDealer<M> {
    /// Returns the alphas for the current dealer. The alphas are generated
    /// using the session ID and the peer number.
    #[inline]
    pub fn get_alphas<F: FieldExtension>(&self) -> Vec<Vec<GlobalFieldKey<F>>> {
        #[cfg(not(feature = "compatibility"))]
        let mut alphas_rng = BaseRng::from_tagged_seed(self.alphas_seed, F::get_name());
        #[cfg(feature = "compatibility")]
        let mut alphas_rng = BaseRng::from_seed(self.alphas_seed);
        let alphas: Vec<Vec<GlobalFieldKey<F>>> = (0..self.n_parties)
            .map(|_| GlobalFieldKey::<F>::random_n(&mut alphas_rng, self.n_parties - 1))
            .collect();
        // DPF/SPFSS over binary global MAC keys requires the per-pair invariant
        //   lsb(Δ_ij) = 0 if i < j, else 1
        // where Δ_ij is the key party i holds for party j. This implies the
        // 2-party condition lsb(Δ_01 ⊕ Δ_10) = 1 and generalizes it for n > 2.
        #[cfg(not(feature = "compatibility"))]
        if F::get_name() == Gf2_128::get_name() {
            for (i, alphas_i) in alphas.iter_mut().enumerate() {
                for j in 0..self.n_parties {
                    if i == j {
                        continue;
                    }
                    let pos = if j < i { j } else { j - 1 };
                    let target_lsb = u8::from(i > j);
                    let current = alphas_i[pos].inner();
                    if current.to_le_bytes()[0] & 1 != target_lsb {
                        let tweaked = current + F::from(1u128);
                        alphas_i[pos] = GlobalFieldKey::new(FieldElement::new(tweaked));
                    }
                }
            }
        }
        alphas
    }
}

// ----------------------------- Trusted Dealer ----------------------------- //

impl<F: FieldExtension, M: Positive> TrustedGenerator<Singlet<F>> for GlobalDealer<M> {
    #[inline]
    fn generate_batch_for_each(
        &mut self,
        _associated_data: (),
    ) -> impl ExactSizeIterator<Item = impl IntoExactSizeIterator<Item = Singlet<F>>> {
        // Regenerate alphas upon each call
        let all_alphas = self.get_alphas::<F>();
        // Generate the singlet batch with fresh randomness
        let singlet_batch: Vec<_> = Singlets::<F, M>::random_n_with_each(&mut self.rng, all_alphas);
        singlet_batch.into_iter()
    }
}

impl<F: FieldExtension, M: Positive> TrustedGenerator<Triple<F>> for GlobalDealer<M> {
    #[inline]
    fn generate_batch_for_each(
        &mut self,
        _associated_data: (),
    ) -> impl ExactSizeIterator<Item = impl IntoExactSizeIterator<Item = Triple<F>>> {
        // Regenerate alphas upon each call
        let all_alphas = self.get_alphas::<F>();
        // Generate the triple batch with fresh randomness
        let triple_batch: Vec<_> = Triples::<F, M>::random_n_with_each(&mut self.rng, all_alphas);
        triple_batch.into_iter()
    }
}

impl<F: FieldExtension, M: Positive> TrustedGenerator<PowPair<F>> for GlobalDealer<M> {
    #[inline]
    fn generate_batch_for_each(
        &mut self,
        exponent: BoxedUint,
    ) -> impl ExactSizeIterator<Item = impl IntoExactSizeIterator<Item = PowPair<F>>> {
        // Regenerate alphas upon each call
        let all_alphas = self.get_alphas::<F>();
        // Generate the pow pair batch with fresh randomness
        let pow_pairs_batch: Vec<_> = PowPairs::<F, M>::random_n_with(
            &mut self.rng,
            self.n_parties,
            (exponent.clone(), all_alphas),
        );
        pow_pairs_batch.into_iter()
    }
}

impl<F: FieldExtension, M: Positive> TrustedGenerator<DaBit<F>> for GlobalDealer<M> {
    #[inline]
    fn generate_batch_for_each(
        &mut self,
        _associated_data: (),
    ) -> impl ExactSizeIterator<Item = impl IntoExactSizeIterator<Item = DaBit<F>>> {
        let alphas_f = self.get_alphas::<F>();
        let alphas_gf2 = self.get_alphas::<Gf2_128>();

        // Generate the daBit batch with fresh randomness
        let dabit_batch: Vec<_> =
            DaBits::<F, M>::random_n_with(&mut self.rng, self.n_parties, (alphas_f, alphas_gf2));
        dabit_batch.into_iter()
    }
}

#[cfg(test)]
mod tests {
    use primitives::{
        algebra::elliptic_curve::{Curve, Curve25519Ristretto as C},
        sharing::{Verifiable, VerifiableWith},
    };

    use super::*;
    use crate::preprocessing::dealer::mock::MockDealer;

    type M = typenum::U5;
    type F = <C as Curve>::Scalar;

    const N_PARTIES: usize = 3;

    pub fn generate_local_dealers<M: Positive>(n_parties: usize, seed: Seed) -> Vec<MockDealer<M>> {
        (0..n_parties)
            .map(|local_party_pos| MockDealer::new(n_parties, local_party_pos, seed))
            .collect()
    }

    #[tokio::test]
    async fn test_local_dealers_triples() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_triples = 11;

        // Create local dealers
        let mut dealers = generate_local_dealers::<M>(N_PARTIES, seed);

        // Generate triple batches asynchronously
        let mut triples: Vec<Vec<Triple<F>>> = vec![];
        for dealer in dealers.iter_mut() {
            triples.push(
                futures::future::try_join_all(dealer.request_n_triples(n_triples))
                    .await
                    .unwrap(),
            )
        }

        // Verify triples
        assert_eq!(triples.len(), N_PARTIES);
        triples.iter().for_each(|s| {
            assert_eq!(s.len(), n_triples);
        });
        for i in 0..n_triples {
            let triple = triples.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            Triple::verify_all(triple).unwrap();
        }
    }

    #[tokio::test]
    async fn test_local_dealers_pow_pairs() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_pow_pairs = 17;
        let exponent = BoxedUint::from(4u32);

        // Create local dealers
        let mut dealers = generate_local_dealers::<M>(N_PARTIES, seed);

        // Generate pow pair batches asynchronously
        let mut pow_pairs: Vec<Vec<PowPair<F>>> = vec![];
        for dealer in dealers.iter_mut() {
            pow_pairs.push(
                futures::future::try_join_all(
                    dealer.request_n_pow_pairs(n_pow_pairs, exponent.clone()),
                )
                .await
                .unwrap(),
            )
        }

        // Verify pow pairs
        assert_eq!(pow_pairs.len(), N_PARTIES);
        pow_pairs.iter().for_each(|s| {
            assert_eq!(s.len(), n_pow_pairs);
        });
        for i in 0..n_pow_pairs {
            let pow_pair_vec = pow_pairs.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            PowPair::verify_all_with(pow_pair_vec, exponent.clone()).unwrap();
        }
    }

    #[tokio::test]
    async fn test_global_queues_singlets() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_singlets = 13;

        // Create a global dealer
        let mut dealer = GlobalDealer::<M>::new_with(N_PARTIES, seed);

        // Generate single batch synchronously
        let singlets: Vec<Vec<Singlet<F>>> = dealer.generate_n_for_each(n_singlets, ());

        // Verify singlets
        assert_eq!(singlets.len(), N_PARTIES);
        singlets.iter().for_each(|s| {
            assert_eq!(s.len(), n_singlets);
        });
        for i in 0..n_singlets {
            let singlet = singlets.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            Singlet::verify_all(singlet).unwrap();
        }
    }

    #[tokio::test]
    async fn test_global_queues_triples() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_triples = 11;

        // Create local dealers
        let mut dealer = GlobalDealer::<M>::new_with(N_PARTIES, seed);

        // Generate triple batch synchronously
        let triples: Vec<Vec<Triple<F>>> = dealer.generate_n_for_each(n_triples, ());

        // Verify triples
        assert_eq!(triples.len(), N_PARTIES);
        triples.iter().for_each(|s| {
            assert_eq!(s.len(), n_triples);
        });
        for i in 0..n_triples {
            let triple = triples.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            Triple::verify_all(triple).unwrap();
        }
    }

    #[tokio::test]
    async fn test_global_dealer_singlets() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_singlets = 13;

        // Create a global dealer
        let mut dealer = GlobalDealer::<M>::new_with(N_PARTIES, seed);

        // Generate singlet batches
        let singlets: Vec<Vec<Singlet<F>>> = dealer.generate_n_for_each(n_singlets, ());

        // Verify singlets
        assert_eq!(singlets.len(), N_PARTIES);
        singlets.iter().for_each(|s| {
            assert_eq!(s.len(), n_singlets);
        });
        for i in 0..n_singlets {
            let singlet = singlets.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            Singlet::verify_all(singlet).unwrap();
        }
    }

    #[tokio::test]
    async fn test_global_dealer_triples() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_triples = 11;

        // Create local dealers
        let mut dealer = GlobalDealer::<M>::new_with(N_PARTIES, seed);
        // Generate triple batches
        let triples: Vec<Vec<Triple<F>>> = dealer.generate_n_for_each(n_triples, ());

        // Verify triples
        assert_eq!(triples.len(), N_PARTIES);
        triples.iter().for_each(|s| {
            assert_eq!(s.len(), n_triples);
        });
        for i in 0..n_triples {
            let triple = triples.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            Triple::verify_all(triple).unwrap();
        }
    }

    #[tokio::test]
    async fn test_global_dealer_pow_pairs() {
        let seed = Seed::random(&mut primitives::random::test_rng());
        let n_pow_pairs = 17;
        let exponent = BoxedUint::from(4u32);

        // Create local dealers
        let mut dealer = GlobalDealer::<M>::new_with(N_PARTIES, seed);

        // Generate pow pair batches
        let pow_pairs: Vec<Vec<PowPair<F>>> =
            dealer.generate_n_for_each(n_pow_pairs, exponent.clone());

        // Verify pow pairs
        assert_eq!(pow_pairs.len(), N_PARTIES);
        pow_pairs.iter().for_each(|s| {
            assert_eq!(s.len(), n_pow_pairs);
        });
        for i in 0..n_pow_pairs {
            let pow_pair_vec = pow_pairs.iter().map(|s| s[i].clone()).collect::<Vec<_>>();
            PowPair::verify_all_with(pow_pair_vec, exponent.clone()).unwrap();
        }
    }

    #[test]
    fn test_td_alphas_backwards_compatibility() {
        fn test_alphas_backwards_compatibility<const N: usize, F: FieldExtension>(
            v: Vec<Vec<GlobalFieldKey<F>>>,
            expected: [[u8; N]; 2],
        ) {
            assert_eq!(v.len(), expected.len());
            assert_eq!(v[0][0].to_le_bytes().as_slice(), expected[0]);
            assert_eq!(v[1][0].to_le_bytes().as_slice(), expected[1]);
        }
        let new = GlobalDealer::<M>::new_with(2, [0; 32]);
        let scalar_alphas = new.get_alphas::<F>();
        test_alphas_backwards_compatibility(
            scalar_alphas,
            [
                [
                    22, 33, 188, 127, 243, 114, 222, 165, 177, 158, 212, 131, 122, 34, 112, 164,
                    230, 48, 112, 90, 14, 78, 91, 42, 120, 206, 28, 215, 160, 190, 21, 0,
                ],
                [
                    207, 175, 72, 193, 159, 85, 167, 221, 77, 123, 109, 17, 179, 166, 249, 164, 54,
                    171, 24, 124, 120, 6, 218, 252, 132, 72, 92, 142, 19, 38, 161, 15,
                ],
            ],
        );
        let base_alphas = new.get_alphas::<<C as Curve>::BaseField>();
        test_alphas_backwards_compatibility(
            base_alphas,
            [
                [
                    36, 141, 17, 252, 235, 35, 94, 49, 239, 202, 72, 236, 42, 48, 10, 46, 101, 223,
                    11, 79, 69, 73, 151, 229, 218, 208, 23, 139, 95, 240, 195, 59,
                ],
                [
                    52, 191, 26, 57, 167, 171, 167, 220, 162, 248, 54, 82, 112, 87, 64, 232, 68,
                    36, 31, 28, 58, 201, 130, 209, 251, 161, 120, 21, 197, 121, 14, 106,
                ],
            ],
        );
        let binary_alphas = new.get_alphas::<Gf2_128>();
        test_alphas_backwards_compatibility(
            binary_alphas,
            [
                (6050961064690644123u128 + (15385182941806993281u128 << 64)).to_le_bytes(),
                (1474049585344358660u128 + (6851573923483025534u128 << 64)).to_le_bytes(),
            ],
        );
    }
}