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  ELIP: 200
  Layer: Applications
  Title: Discounted fees for Confidential Transactions
  Author: Byron Hambly <[email protected]>
  Comments-Summary: No comments yet.
  Comments-URI: https://github.com/ElementsProject/elips/wiki/Comments:ELIP-0200
  Status: Draft
  Type: Standards Track
  Created: 2024-06-19
  License: BSD-3-Clause

Table of Contents

Introduction

Abstract

This document proposes a method of reducing fees for Confidential Transactions. It specifies the calculation that wallets can use to determine the discounted fee, as well as changes necessary to the Elements node for relaying and mining these discounted transactions.

Copyright

This document is licensed under the 3-clause BSD license.

Motivation

In Elements, Confidential Transactions (CT) are approximately ten times larger than ordinary explicit transactions. Output amounts are replaced with Pedersen commitments, and they include an additional asset commitment and an ECDH ephemeral key. Outputs also have additional witness data: a Range Proof that the amount value is in a valid range, and a Surjection Proof that the output asset matches an input asset.

Since they are larger, CT require an order of magnitude higher transaction fee than explicit transactions. This means there may be some incentive for a fee-minimizing actor to prefer explicit transactions over the privacy gains from CT. In order to incentivize CT, this ELIP proposes a policy change in Elements that would accept and relay CT at a discounted fee rate. With this discount, fees for CT are in the same order of magnitude as explicit transactions, and there is less incentive to use explicit transactions.

Design

Overview

A new calculation for "discount virtual size" (discountvsize) is proposed. In explicit transactions, this is precisely the same as the transaction's vsize. In CT, for each confidential output in the transaction, the transaction weight is reduced before the virtual transaction size calculation.

For wallets, this discount calculation is used during transaction creation for fee estimation, presuming that the connected Elements node has the respective setting to accept and relay such discounted CT.

For nodes, this discount calculation is used during mempool acceptance validation and during peer messaging when determining which transactions to relay.

Drawbacks

By using the discountvsize for fee calculation, discounted CT have a lower real fee rate than the fee rate specified during transaction creation. Currently, the block assembler first selects transaction packages with the highest ancestor fee rates. This means discounted CT will only be selected after explicit transactions and undiscounted CT at the same nominal fee rates. The proposed solution is to change transaction ordering in the block assembler to fee rate according to the discounted virtual size. This means the block template no longer maximizes fees, which is considered an acceptable trade-off for prioritizing CT privacy with reduced fees.

Specification

Wallet

Wallets can construct their transactions as normal, with a placeholder amount in a fee output. After filling in dummy signatures, the transaction weight should be calculated according to BIP-0141[1]:

Weight = Base transaction size * 3 + Total transaction size

Where:

Base transaction size is the size of the transaction serialized with the witness data stripped.

Total transaction size is the transaction size in bytes serialized as described in BIP-0144[2], including base data and witness data.

To calculate the discount weight, for each output:

  • subtract the weight of the output witness if any, leaving 2 weight units that encode an empty witness
  • subtract 96 (24 * 4) weight units if the amount is a commitment. This is the difference between commitment (33 bytes) and explicit amount (9 bytes), multiplied by 4 since this is non-witness data
  • subtract 128 (32 * 4) weight units if the nonce is a commitment. This is the difference between commitment (33 bytes) and no nonce (1 byte), multiplied by 4 since this is non-witness data
Then calculate discountvsize as (discount weight + 3) / 4, and set the fee output amount to chosen fee rate * discountvsize.

Fee outputs can be ignored for the purposes of the discount calculation, since they have no witness or nonce, and the amount is explicit.

Example calculation

Transaction from LiquidV1[3]:

This transaction has 2 confidential outputs and 1 fee output.

Weight: 10536 WU

  • Subtract first output witness (4277) - 2: 10536 - 4275 = 6261
  • Subtract 96 for amount commitment: 6261 - 96 = 6165
  • Subtract 128 for nonce commitment: 6165 - 128 = 6037
  • Subtract second output witness (4277) - 2: 6037 - 4275 = 1762
  • Subtract 96 for amount commitment: 1762 - 96 = 1666
  • Subtract 128 for nonce commitment: 1666 - 128 = 1538
Discount Weight: 1538 WU

Discount Virtual Size: (1538 + 3) / 4 = 385 vB

Node

Nodes should add a new configuration option to define whether they accept and relay these discounted CT. In the reference implementation this is called "accept_discount_ct". When this configuration option is enabled, the node must use the discountvsize instead of vsize when calculating the fee rate for acceptance to its mempool, and for responding to inventory messages at its peers' given filter fee rates.

In the block template assembler, ordering by ancestor fee rate should also be changed to use fee per discountvsize instead of fee per vsize.

Backwards Compatibility

Transactions at any fee rate, or even without a fee output, are consensus valid on LiquidV1 and can be included in blocks by default in Elements. At the current default minimum fee rate in Elements (0.1 sats/vb), discounted CT as specified above will not meet the minimum fee rate to be relayed by un-upgraded nodes. As long as the discounted CT can be relayed via upgraded nodes to a block miner (or signer) node, then it can be included in a block. This becomes easier as more nodes upgrade to accept discount CT.

The following table outlines if the different transaction types will be relayed by un-upgraded nodes, and upgraded nodes configured to accept discount CT:

Transaction Type Un-upgraded Node Upgraded node
Explicit Yes Yes
Normal CT Yes Yes
Discount CT No Yes

Reference Implementation

ElementsProject/elements#1317

Alternate Implementation

ElementsProject/rust-elements#204

Test Vectors

  • Transaction with 1 input and 2 outputs:
    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    • Weight: 5330
    • Virtual size: 1333
    • Discount Weight: 863
    • Discount Virtual size: 216
  • Transaction with 1 input and 3 outputs:
    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    • Weight: 10107
    • Virtual size: 2527
    • Discount Weight: 1173
    • Discount Virtual size: 294
  • Transaction with 2 inputs and 3 outputs:
    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    • Weight: 10536
    • Virtual size: 2634
    • Discount Weight: 1538
    • Discount Virtual size: 385
  • Transaction with 4 inputs and 3 outputs:
    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    • Weight: 11192
    • Virtual size: 2798
    • Discount Weight: 2130
    • Discount Virtual size: 533
  • Transaction with 2 inputs and 4 outputs:
    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    • Weight: 15261
    • Virtual size: 3816
    • Discount Weight: 1764
    • Discount Virtual size: 441
  • Transaction with 2 inputs and 5 outputs:
    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
    • Weight: 20030
    • Virtual size: 5008
    • Discount Weight: 2034
    • Discount Virtual size: 509

References

  1. ^ BIP-0141: https://github.com/bitcoin/bips/blob/master/bip-0141.mediawiki#Transaction_size_calculations
  2. ^ BIP-0144: https://github.com/bitcoin/bips/blob/master/bip-0144.mediawiki#user-content-Serialization
  3. ^ https://blockstream.info/liquid/tx/221c8a8bb81d1e33f3b6556ec9eb10815469ff02fd4bb4dd5127442eaa16d988