Elliptic Curve Elliptic Curve
ECEC 04

The candidate replacements

Standfirst — one sentence stating the claim. To be written.

The honest framing

PROSE · SPEC §3.4 This is a blocksize problem wearing a cryptography costume. Bitcoin's constraint is bytes on chain, and every post-quantum scheme is dramatically larger than a 64-byte Schnorr signature. Source: —— · Dated: ————-——-—— · Review due: ————-——-——

Hash-based

PROSE · SPEC §3.4 Minimal assumptions — security rests on the hash. Stateful variants are operationally dangerous, and that danger is an operations problem, not a cryptography one. Source: —— · Dated: ————-——-—— · Review due: ————-——-——

Lattice

PROSE · SPEC §3.4 Newer assumptions, less scrutiny, smaller signatures. Say what "less scrutiny" means in years and in eyes. Source: —— · Dated: ————-——-—— · Review due: ————-——-——

Isogeny

PROSE · SPEC §3.4 Smallest signatures, and dropped from BIP-360 on verification cost. State the ratio as an order of magnitude and no more precisely — it depends on implementation and platform, and false precision here is the kind of thing this audience checks. Source: —— · Dated: ————-——-—— · Review due: ————-——-——

Block-space arithmetic

PROSE · SPEC §3.4 The genuinely novel section: what each candidate does to a block, worked through. Squarely in the owner's professional domain and the reason this page exists. Source: —— · Dated: ————-——-—— · Review due: ————-——-——
EQUATION · component-specs §6 EQ 1: transactions per block as a function of signature and public-key size.

Signature families

Scope note — to be written. Which security level, and what the verify column is relative to. A crop to this panel edge must still carry title, date, source and scale.

Family Scheme Signature bytes Public key Verify Assumption Standing
ECDSA baseline row — figures to be supplied. Its bar is outlined in claret at the 8px floor rather than filled: the row is the scheme that is broken, and the outline says so without a badge.
Candidate rows to be supplied: hash-based, then lattice, then isogeny.