Topic Tag

Tag: Elliptic Curves

4 published articles in this collection.

Modern Cryptography & Zero-Knowledge Proofs (Part 08): Digital Signatures & Threshold Schemes: ECDSA, Ed25519, Schnorr & Shamir Secret Sharing

Signature security models, ECDSA nonce vulnerabilities, Schnorr linearity, multi-signatures (MuSig2), and Shamir (k,n) threshold secret sharing.

Nov 9, 2026 • 4 min read

Bilinear maps on elliptic curves, Weil and Tate pairings, Miller's algorithm, BLS signature aggregation, and Boneh-Franklin IBE.

Nov 9, 2026 • 4 min read

Algebraic geometry over finite fields, chord-and-tangent group law, Montgomery and Twisted Edwards curves, Curve25519, and scalar multiplication.

Nov 9, 2026 • 3 min read

Computational number theory, trapdoor one-way permutations, RSA factoring bounds, Diffie-Hellman key exchange, and index calculus algorithms.

Nov 9, 2026 • 3 min read