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| 1 | +use bls12_381::{G1Projective as G, Scalar}; |
| 2 | +use curve25519_dalek::ristretto::RistrettoPoint; |
| 3 | +use curve25519_dalek::scalar::Scalar as DalekScalar; |
| 4 | +use group::ff::Field; |
| 5 | +use group::{Group, GroupEncoding}; |
| 6 | +use rand::rngs::OsRng; |
| 7 | + |
| 8 | +use crate::fiat_shamir::NISigmaProtocol; |
| 9 | +use crate::tests::test_utils::{discrete_logarithm, pedersen_commitment}; |
| 10 | +use crate::{codec::ShakeCodec, schnorr_protocol::SchnorrProof}; |
| 11 | + |
| 12 | +/// This test checks that flipping a single low-order bit in the proof causes verification to fail. |
| 13 | +#[test] |
| 14 | +fn tampered_bitflip_proof() { |
| 15 | + let mut rng = OsRng; |
| 16 | + |
| 17 | + let (morphismp, witness) = discrete_logarithm(Scalar::random(&mut rng)); |
| 18 | + let protocol = SchnorrProof::from(morphismp); |
| 19 | + let nizk = NISigmaProtocol::<SchnorrProof<G>, ShakeCodec<G>>::new( |
| 20 | + b"tamper-test-bitflip-LSB", |
| 21 | + protocol, |
| 22 | + ); |
| 23 | + |
| 24 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 25 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 26 | + |
| 27 | + // Flip the least significant bit of the first byte |
| 28 | + let mut tampered_compact = proof_compact.clone(); |
| 29 | + let mut tampered_batchable = proof_batchable.clone(); |
| 30 | + tampered_compact[0] ^= 0b00000001; |
| 31 | + tampered_batchable[0] ^= 0b00000001; |
| 32 | + |
| 33 | + // Valid proofs should verify |
| 34 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 35 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 36 | + |
| 37 | + // Tampered proofs should be rejected |
| 38 | + assert!( |
| 39 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 40 | + "Compact proof with bitflip was incorrectly accepted" |
| 41 | + ); |
| 42 | + assert!( |
| 43 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 44 | + "Batchable proof with bitflip was incorrectly accepted" |
| 45 | + ); |
| 46 | +} |
| 47 | + |
| 48 | +/// This test checks that appending an extra byte invalidates the proof. |
| 49 | +#[test] |
| 50 | +fn tampered_extra_byte_proof() { |
| 51 | + let mut rng = OsRng; |
| 52 | + |
| 53 | + let (morphismp, witness) = discrete_logarithm(Scalar::random(&mut rng)); |
| 54 | + let protocol = SchnorrProof::from(morphismp); |
| 55 | + let nizk = |
| 56 | + NISigmaProtocol::<SchnorrProof<G>, ShakeCodec<G>>::new(b"tamper-test-extra-byte", protocol); |
| 57 | + |
| 58 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 59 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 60 | + |
| 61 | + // Append a null byte at the end of the proof |
| 62 | + let mut tampered_compact = proof_compact.clone(); |
| 63 | + let mut tampered_batchable = proof_batchable.clone(); |
| 64 | + tampered_compact.push(0x00); |
| 65 | + tampered_batchable.push(0x00); |
| 66 | + |
| 67 | + // Valid proofs should verify |
| 68 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 69 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 70 | + |
| 71 | + // Tampered proofs should be rejected due to unexpected length |
| 72 | + assert!( |
| 73 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 74 | + "Compact proof with extra byte was incorrectly accepted" |
| 75 | + ); |
| 76 | + assert!( |
| 77 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 78 | + "Batchable proof with extra byte was incorrectly accepted" |
| 79 | + ); |
| 80 | +} |
| 81 | + |
| 82 | +/// This test checks that flipping the high bit in a group encoding breaks the proof (Bls12_381 backend). |
| 83 | +#[test] |
| 84 | +fn tampered_flip_high_bit_in_group_element() { |
| 85 | + let mut rng = OsRng; |
| 86 | + |
| 87 | + let (morphismp, witness) = discrete_logarithm(Scalar::random(&mut rng)); |
| 88 | + let protocol = SchnorrProof::from(morphismp); |
| 89 | + let nizk = NISigmaProtocol::<SchnorrProof<G>, ShakeCodec<G>>::new( |
| 90 | + b"tamper-test-curve-encoding", |
| 91 | + protocol, |
| 92 | + ); |
| 93 | + |
| 94 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 95 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 96 | + |
| 97 | + let mut tampered_compact = proof_compact.clone(); |
| 98 | + let mut tampered_batchable = proof_batchable.clone(); |
| 99 | + |
| 100 | + // Determine size of a compressed group element (48 bytes for BLS12-381 G1) |
| 101 | + let point_size = <G as GroupEncoding>::Repr::default().as_ref().len(); |
| 102 | + |
| 103 | + // Flip the most significant bit of the last byte in the first group element |
| 104 | + tampered_batchable[point_size - 1] ^= 0b10000000; |
| 105 | + |
| 106 | + // Flip the MSB of the first byte in the scalar challenge |
| 107 | + tampered_compact[0] ^= 0b10000000; |
| 108 | + |
| 109 | + // Valid proofs should verify |
| 110 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 111 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 112 | + |
| 113 | + // Tampered proofs should fail due to invalid group or scalar encoding |
| 114 | + assert!( |
| 115 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 116 | + "Compact proof with MSB flipped was incorrectly accepted" |
| 117 | + ); |
| 118 | + assert!( |
| 119 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 120 | + "Batchable proof with MSB flipped was incorrectly accepted" |
| 121 | + ); |
| 122 | +} |
| 123 | + |
| 124 | +/// This test checks that flipping the high bit in a group encoding breaks the proof (Ristretto backend). |
| 125 | +#[test] |
| 126 | +fn tampered_flip_high_bit_in_group_element_ristretto() { |
| 127 | + let mut rng = OsRng; |
| 128 | + |
| 129 | + let (morphismp, witness) = discrete_logarithm(DalekScalar::random(&mut rng)); |
| 130 | + let protocol = SchnorrProof::from(morphismp); |
| 131 | + let nizk = NISigmaProtocol::<SchnorrProof<RistrettoPoint>, ShakeCodec<RistrettoPoint>>::new( |
| 132 | + b"tamper-ristretto-msb", |
| 133 | + protocol, |
| 134 | + ); |
| 135 | + |
| 136 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 137 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 138 | + |
| 139 | + // Clone for tampering |
| 140 | + let mut tampered_compact = proof_compact.clone(); |
| 141 | + let mut tampered_batchable = proof_batchable.clone(); |
| 142 | + |
| 143 | + // Ristretto group encoding size is 32 bytes |
| 144 | + let point_size = <RistrettoPoint as GroupEncoding>::Repr::default() |
| 145 | + .as_ref() |
| 146 | + .len(); |
| 147 | + |
| 148 | + // Tamper: Flip MSB of last byte in first group element |
| 149 | + tampered_batchable[point_size - 1] ^= 0b10000000; |
| 150 | + |
| 151 | + // Tamper: Flip MSB of first byte of scalar |
| 152 | + tampered_compact[0] ^= 0b10000000; |
| 153 | + |
| 154 | + // Check original proofs still pass |
| 155 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 156 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 157 | + |
| 158 | + // Check tampered proofs fail due to invalid encoding |
| 159 | + assert!( |
| 160 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 161 | + "Compact Ristretto proof with MSB flipped was incorrectly accepted" |
| 162 | + ); |
| 163 | + assert!( |
| 164 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 165 | + "Batchable Ristretto proof with MSB flipped was incorrectly accepted" |
| 166 | + ); |
| 167 | +} |
| 168 | + |
| 169 | +#[test] |
| 170 | +fn tampered_bitflip_pedersen_proof() { |
| 171 | + let mut rng = OsRng; |
| 172 | + |
| 173 | + let (morphismp, witness) = pedersen_commitment( |
| 174 | + G::random(&mut rng), |
| 175 | + Scalar::random(&mut rng), |
| 176 | + Scalar::random(&mut rng), |
| 177 | + ); |
| 178 | + let protocol = SchnorrProof::from(morphismp); |
| 179 | + let nizk = NISigmaProtocol::<SchnorrProof<G>, ShakeCodec<G>>::new( |
| 180 | + b"tamper-pedersen-bitflip", |
| 181 | + protocol, |
| 182 | + ); |
| 183 | + |
| 184 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 185 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 186 | + |
| 187 | + // Tampering: Flip 1 LSB in the first byte |
| 188 | + let mut tampered_compact = proof_compact.clone(); |
| 189 | + let mut tampered_batchable = proof_batchable.clone(); |
| 190 | + tampered_compact[0] ^= 0b00000001; |
| 191 | + tampered_batchable[0] ^= 0b00000001; |
| 192 | + |
| 193 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 194 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 195 | + |
| 196 | + assert!( |
| 197 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 198 | + "Bit-flipped compact Pedersen proof was incorrectly accepted" |
| 199 | + ); |
| 200 | + assert!( |
| 201 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 202 | + "Bit-flipped batchable Pedersen proof was incorrectly accepted" |
| 203 | + ); |
| 204 | +} |
| 205 | + |
| 206 | +#[test] |
| 207 | +fn tampered_extra_byte_pedersen_proof() { |
| 208 | + let mut rng = OsRng; |
| 209 | + |
| 210 | + let (morphismp, witness) = pedersen_commitment( |
| 211 | + G::random(&mut rng), |
| 212 | + Scalar::random(&mut rng), |
| 213 | + Scalar::random(&mut rng), |
| 214 | + ); |
| 215 | + let protocol = SchnorrProof::from(morphismp); |
| 216 | + let nizk = NISigmaProtocol::<SchnorrProof<G>, ShakeCodec<G>>::new( |
| 217 | + b"tamper-pedersen-extra-byte", |
| 218 | + protocol, |
| 219 | + ); |
| 220 | + |
| 221 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 222 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 223 | + |
| 224 | + // Tampering: Add a trailing null byte |
| 225 | + let mut tampered_compact = proof_compact.clone(); |
| 226 | + let mut tampered_batchable = proof_batchable.clone(); |
| 227 | + tampered_compact.push(0x00); |
| 228 | + tampered_batchable.push(0x00); |
| 229 | + |
| 230 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 231 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 232 | + |
| 233 | + assert!( |
| 234 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 235 | + "Compact Pedersen proof with extra byte was incorrectly accepted" |
| 236 | + ); |
| 237 | + assert!( |
| 238 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 239 | + "Batchable Pedersen proof with extra byte was incorrectly accepted" |
| 240 | + ); |
| 241 | +} |
| 242 | + |
| 243 | +#[test] |
| 244 | +fn tampered_flip_high_bit_in_pedersen_group_element() { |
| 245 | + let mut rng = OsRng; |
| 246 | + |
| 247 | + let (morphismp, witness) = pedersen_commitment( |
| 248 | + G::random(&mut rng), |
| 249 | + Scalar::random(&mut rng), |
| 250 | + Scalar::random(&mut rng), |
| 251 | + ); |
| 252 | + let protocol = SchnorrProof::from(morphismp); |
| 253 | + let nizk = NISigmaProtocol::<SchnorrProof<G>, ShakeCodec<G>>::new( |
| 254 | + b"tamper-pedersen-msb-flip", |
| 255 | + protocol, |
| 256 | + ); |
| 257 | + |
| 258 | + let proof_compact = nizk.prove_compact(&witness, &mut rng).unwrap(); |
| 259 | + let proof_batchable = nizk.prove_batchable(&witness, &mut rng).unwrap(); |
| 260 | + |
| 261 | + // Tampering: Flip MSB of one group element and one scalar |
| 262 | + let mut tampered_compact = proof_compact.clone(); |
| 263 | + let mut tampered_batchable = proof_batchable.clone(); |
| 264 | + |
| 265 | + let point_size = <G as GroupEncoding>::Repr::default().as_ref().len(); |
| 266 | + tampered_batchable[point_size - 1] ^= 0b10000000; |
| 267 | + tampered_compact[0] ^= 0b10000000; |
| 268 | + |
| 269 | + assert!(nizk.verify_compact(&proof_compact).is_ok()); |
| 270 | + assert!(nizk.verify_batchable(&proof_batchable).is_ok()); |
| 271 | + |
| 272 | + assert!( |
| 273 | + nizk.verify_compact(&tampered_compact).is_err(), |
| 274 | + "Compact Pedersen proof with MSB flipped was incorrectly accepted" |
| 275 | + ); |
| 276 | + assert!( |
| 277 | + nizk.verify_batchable(&tampered_batchable).is_err(), |
| 278 | + "Batchable Pedersen proof with MSB flipped was incorrectly accepted" |
| 279 | + ); |
| 280 | +} |
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