Inner-Product Verification with Multiexponentiation | Inner-Product Protocol for Non-powers of 2 #20
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Faster inner product proof verification using a single multi-exponentiation as described in Section 3.1 of the Bulletproofs paper. Improves the inner product verification by ~30%
Protocols similar in spirit to Bulletproofs require support for inner product protocol with secret vector sizes a non-power of 2. I have added a test demonstrating the same. The idea is simple:
2.1 Append secret vectors with 0's to make them the next power of 2
2.2 Extend the original base vectors to make them too the next power of 2
2.3 Compute vector exponentiations with a condition to check any 0's. This ensures minimum overhead computational cost due to modification of vector sizes to the next power of 2.