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add benchmarks for key agg
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@@ -166,12 +166,26 @@ that is a total savings of around $2.50 per month.
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From the [IETF draft standard on BLS Signatures][bls-ietf], BLS signatures can be
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created in 370 microseconds and verified in 2700 microseconds. Our current
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[Ed25519 implementation][voi-ed25519-perf] lists a 27.5 microsecond signature creation time
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and 5.19 milliseconds to perform batch verification on 128 signatures, which is
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slightly fewer than the 175 in the Hub. blst, a popular implementation of BLS
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signature aggregation was benchmarked to perform verification on 100 signatures in
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1.5 milliseconds [when run locally][blst-verify-bench] on an 8 thread machine and
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pre-aggregated public keys.
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[Ed25519 implementation][voi-ed25519-perf] was benchmarked locally to take
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13.9 microseconds to produce a signature and 2.03 milliseconds to batch verify
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128 signatures, which is slightly fewer than the 175 in the Hub. blst, a popular
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implementation of BLS signature aggregation was benchmarked to perform verification
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on 100 signatures in 1.5 milliseconds [when run locally][blst-verify-bench]
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on an 8 thread machine and pre-aggregated public keys. It is worth noting that
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the `ed25519` library verification time grew steadily with the number of signatures,
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whereas the bls library verification time remains constant. This is because the
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number of operations used to verify a signature does not grow at all with the
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number of signatures included in the aggregate signature (as long as the signers
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signed over the same message data as is the case in Tendermint).
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It is worth noting that this would also represent a _degredation_ in signature
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verification time for chains with small validator sets. When batch verifying
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only 32 signatures, our ed25519 library takes .57 milliseconds, whereas BLS
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would still require the same 1.5 milliseconds.
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For massive validator sets, blst dominates, taking the same 1.5 milliseconds to
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check an aggregated signature from 1024 validators versus our ed25519 library's
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13.066 milliseconds to batch verify a set of that size.
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#### Reduce Light-Client Verification Time
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@@ -453,12 +467,18 @@ the validator set changed.
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This means that the speed advantages gained by using BLS cannot be fully realized
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by the light client since the client needs to perform the expensive operation
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of re-aggregating the public key.
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of re-aggregating the public key. Aggregation is _not_ constant time in the
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number of keys and instead grows linearly. When [benchmarked locally][blst-verify-bench-agg],
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blst public key aggregation of 128 keys took 2.43 milliseconds. This, along with
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the 1.5 milliseconds to verify a signature would raise light client signature
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verification time to 3.9 milliseconds, a time above the previously mentioned
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batch verification time using our ed25519 library of 2.0 milliseconds.
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Schemes to cache aggregated subsets of keys could certainly cut this time down at the
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cost of adding complexity to the light client.
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## Open Questions
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* *Q*: Can you aggregate a signature twice and still verify?
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* *Q*: If so, how much cost may be imposed by re-including signatures into the same
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* *Q*: Can you aggregate Ed25519 signatures in Tendermint?
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## Current Consideration
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@@ -493,8 +513,9 @@ standards develop.
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[zcash-adoption]: https://github.com/zcash/zcash/issues/2502
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[chia-adoption]: https://github.com/Chia-Network/chia-blockchain#chia-blockchain
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[bls-ietf-ecdsa-compare]: https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-bls-signature-04#section-1.1
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[voi-ed25519-perf]: https://github.com/oasisprotocol/curve25519-voi/blob/master/PERFORMANCE.md
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[voi-ed25519-perf]: https://github.com/williambanfield/curve25519-voi/blob/benchmark/primitives/ed25519/PERFORMANCE.txt#L79
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[blst-verify-bench]: https://github.com/williambanfield/blst/blame/bench/bindings/go/PERFORMANCE.md#L9
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[blst-verify-bench-agg]: https://github.com/williambanfield/blst/blame/bench/bindings/go/PERFORMANCE.md#L23
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[vitalik-pairing-post]: https://medium.com/@VitalikButerin/exploring-elliptic-curve-pairings-c73c1864e627
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[ledger-bls-announce]: https://www.ledger.com/first-ever-firmware-update-coming-to-the-ledger-nano-x
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[commit-proto]: https://github.com/tendermint/tendermint/blob/be7cb50bb3432ee652f88a443e8ee7b8ef7122bc/proto/tendermint/types/types.proto#L121
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