Module batched_range_proof

The batched range proof instructions.

A batched range proof is defined with respect to a sequence of commitments [C_1, ..., C_N] and bit-lengths [n_1, ..., n_N]. It certifies that each C_i is a commitment to a number of bit-length n_i.

There are three batched range proof instructions: VerifyBatchedRangeProof64, VerifyBatchedRangeProof128, and VerifyBatchedRangeProof256. The value N in VerifyBatchedRangeProof{N} specifies the sum of the bit-lengths that the proof is certifying for a sequence of commitments.

For example to generate a batched range proof on a sequence of commitments [C_1, C_2, C_3] on a sequence of bit-lengths [32, 32, 64], one must use VerifyBatchedRangeProof128 as 128 is the sum of all bit-lengths.

The maximum number of commitments is fixed at 8. Each bit-length in [n_1, ..., n_N] must be a power-of-two positive integer less than or equal to 128.

Modules

• batched_range_proof_u64
  The 64-bit batched range proof instruction.
• batched_range_proof_u128
  The 128-bit batched range proof instruction.
• batched_range_proof_u256
  The 256-bit batched range proof instruction.

Structs

• BatchedRangeProofContext
  The context data needed to verify a range-proof for a Pedersen committed value.