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Implement ElligatorSwift #107

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paulmillr wants to merge 2 commits into main from ellswift

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paulmillr commented Jan 14, 2024 •

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ElligatorSwift: Schnorr-like x-only ECDH with public keys indistinguishable
from uniformly random bytes.
https://github.com/bitcoin/bips/blob/master/bip-0324.mediawiki,
https://github.com/bitcoin/bitcoin/blob/master/src/secp256k1/doc/ellswift.md
SwiftEC: Shallue-van de Woestijne Indifferentiable Function to Elliptic Curves.
https://eprint.iacr.org/2022/759.pdf

Curve25519 & P-521 are incompatible with SwiftEC. Differences from SwiftEC:

undefined inputs are remapped
y-parity is encoded in u/t values

TODO: understand if these methods have proper names and types.

encode: (x: bigint | PointType<bigint>) => Uint8Array;
decode: (data: Hex) => Uint8Array;
keygen: () => { privateKey: Uint8Array; publicKey: Uint8Array; };
getSharedSecret: (privateKeyA: Hex, publicKeyB: Hex) => Uint8Array;
getSharedSecretBip324: (privateKeyOurs: Hex, publicKeyTheirs: Hex, publicKeyOurs: Hex, initiating: boolean) => Uint8Array;

Closes gh-8.


          Implement ElligatorSwift

943edbc

paulmillr force-pushed the ellswift branch from 691f837 to 943edbc Compare

January 14, 2024 10:00


          Format

b8ddb60

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