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Compact Multi-Signatures for Smaller Blockchains

Compact multi-signatures. Dan Boneh, Manu Drijvers and Gregory Neven.

The paper gives a BLS multi-signature that stays compact and blocks the rogue-key attack with a proof of possession of each key.

A reading of the public paper. Not a copy, not a benchmark, and not a claim about any later network.

If a chain aggregates BLS votes, ask where the proof of possession happens. If the answer is nowhere, this paper is the objection.
Evidence
Primary paper
Re-measured
No
Assumptions
3
Records linked
6

Code

Source, repository, and what is actually hosted

  • ePrint 2018/483https://eprint.iacr.org/2018/483
  • The source URL is not a GitHub repository. No code remote is invented.
  • Full text is not mirrored. Public availability is not a licence to copy the file onto this site.
  • Add to a reading list

01 Claim ledger

What the paper is allowed to say

Each row is a sentence already in the study. The status is the same on every row: a model claim, not a live measurement.

  1. Claim 01 · Paper model

    The defect

    A naive multi-signature either lists every key and every signature, or it can be attacked by a rogue key that cancels someone else's public key.

  2. Claim 02 · Paper model

    The proposal

    The paper gives a BLS multi-signature that stays compact and blocks the rogue-key attack with a proof of possession of each key.

  3. Claim 03 · Paper model

    Aggregation is not the same as a threshold scheme.

    A proof of possession is the defence named here.

  4. Claim 04 · Paper model

    The bound

    This is not MuSig and not FROST. The group is pairing-based.

02 Three cuts

Observation, model, falsifier

A desk does not stop at the summary. Each claim is cut three ways, using only this study's own assumptions and checks. Nothing here is a new figure.

  1. 01 The defect

    Observation

    What the study says

    A naive multi-signature either lists every key and every signature, or it can be attacked by a rogue key that cancels someone else's public key.

    Model

    What has to hold

    A missing proof of possession reopens the rogue-key attack.

    Falsifier

    What would retire it

    Is this a multi-signature or a threshold signature?

  2. 02 The proposal

    Observation

    What the study says

    The paper gives a BLS multi-signature that stays compact and blocks the rogue-key attack with a proof of possession of each key.

    Model

    What has to hold

    A missing proof of possession reopens the rogue-key attack.

    Falsifier

    What would retire it

    Is this a multi-signature or a threshold signature?

  3. 03 Aggregation is not the same as a threshold scheme.

    Observation

    What the study says

    A proof of possession is the defence named here.

    Model

    What has to hold

    A missing proof of possession reopens the rogue-key attack.

    Falsifier

    What would retire it

    Is there a proof of possession?

  4. 04 The bound

    Observation

    What the study says

    This is not MuSig and not FROST. The group is pairing-based.

    Model

    What has to hold

    This is not MuSig and not FROST. The group is pairing-based.

    Falsifier

    What would retire it

    Is there a proof of possession?

03 Sequence

One action, as an operating tape

  1. 01Each signer proves they hold their key.
  2. 02Signatures aggregate.
  3. 03A verifier checks the set of keys and one signature.
  4. 04What is the domain separation string?

04 Load-bearing

The argument, and where a pitch drops it

  1. What the paper is for

    The cut

    If a chain aggregates BLS votes, ask where the proof of possession happens. If the answer is nowhere, this paper is the objection.

    Why it carries weight

    If this cut is skipped, the paper's name is being used without the mechanism that makes the name mean anything.

    Where it is dropped

    A missing proof of possession reopens the rogue-key attack.

  2. What happened after

    The cut

    Ethereum's later consensus signatures are in this family. The specification, not this paper, sets the domain separation.

    Why it carries weight

    If this cut is skipped, the paper's name is being used without the mechanism that makes the name mean anything.

    Where it is dropped

    The paper does not set a validator set.

05 Register

What has to be true

  • Model · Not re-measured

    This is not MuSig and not FROST. The group is pairing-based.

  • Cryptography · Not re-measured

    A missing proof of possession reopens the rogue-key attack.

  • Model · Not re-measured

    The paper does not set a validator set.

06 Divergence

What happened after the paper

Ethereum's later consensus signatures are in this family. The specification, not this paper, sets the domain separation.

A later client, parameter set, or reward formula is a different object. Cite this paper for the mechanism. Cite a primary release for the network. This desk has not re-run the proof.

07 Pre-mortem

What to check before you use the idea

  1. 0 of 3 marked on this browser. A mark is a reading note, not a pass, a rating, or a recommendation.

08 Anatomy

The paper, in the order a builder needs

The problem it names

A naive multi-signature either lists every key and every signature, or it can be attacked by a rogue key that cancels someone else's public key.

What the design proposes

  • Aggregation is not the same as a threshold scheme.
  • A proof of possession is the defence named here.
  • Verification is one check, which is why the size matters on a chain.

How the mechanism is specified

  • Each signer proves they hold their key.
  • Signatures aggregate.
  • A verifier checks the set of keys and one signature.

What this page does not treat as proven

  • This is not MuSig and not FROST. The group is pairing-based.
  • A missing proof of possession reopens the rogue-key attack.
  • The paper does not set a validator set.

Why the desk still reads it

If a chain aggregates BLS votes, ask where the proof of possession happens. If the answer is nowhere, this paper is the objection.

09 Lexicon

Terms, opened into the record

Rogue key
A key crafted to cancel another signer's key inside an aggregate.
Proof of possession
A proof that the registered key has a known secret.

10 Repository

Every linked record on this page

Underlined words open a page that already exists: a concept, a protocol profile, a failure record, or another paper. If a word is not underlined, this desk does not have a record for it.

This is Blockchain Lab's reading of a public design paper. It is not the paper, not a copy of it, and not an offer of tokens, equity, custody or a partnership. Later network behaviour can diverge from the text. Nothing here is investment, legal or technical advice.

Research status: Design paper. Last reviewed: 1 October 2026. This is a reading of a public paper, not investment, legal or security advice.