Vegas Recap and Elliptic Curve Point Operations
From Magic Internet Math by Brian HIrschfield and Rob Hamilton
May 7, 2026 · 1h 27m · Season 1 · Episode 8
About this episode
Brian and Rob recap their experiences in Vegas and discuss elliptic curve point operations in detail.
The Study guide: https://ecc-study-guide.magicinternetmath.com/guide.pdf In this episode, I (Brian) finally introduce myself properly and Rob and I kick off with a Vegas + Bitcoin++ recap before diving back into Chapter 6 of our elliptic curve study guide. We talk small, dev‑focused conferences versus mega‑cons, the Hoover Dam power-plant tour, and the standout conversations around quantum risk, BitVM, and Binohash. We also share plans to bring a math‑track BitDevs to Philly and to run a hands‑on Codex32 workshop soon. Then we slow things down to the math. Using the curve over the reals as a warmup, we revisit the group axioms that make elliptic curves useful for Bitcoin: identity (the point at infinity), inverses (reflect across the x‑axis), closure, and associativity. We sketch point addition and doubling, why doubling accelerates scalar multiplication, and how this geometry-algebra fusion underpins private→public key derivation. Along the way we touch BIP‑68 relative timelocks, why secp256k1’s simple y^2=x^3+7 form is performant, and where post‑quantum work like FROST and research at ZeroSync/Localhost is heading. 'Magic Internet Math (site)': https://magicinternetmath.com/…
People in this episode
Hosts: Brian, Rob Hamilton
Topics covered
- elliptic curves
- Bitcoin
- quantum risk
- math education
- conferences
- point operations
Keywords
- elliptic curves
- Bitcoin
- quantum risk
- BIP 68
- point addition
- point doubling
- Codex32
- BitDevs
Mentioned in this episode
Organizations: Magic Internet Math, bitcoin++
Books & works: BIP 68: Relative lock-time, BitVM whitepaper, Binohash
Places: Vegas, Philly, Hoover Dam
More episodes of Magic Internet Math
- Risk of Ruin: Bankroll Math for Bitcoiners · June 7, 2026 · 1h 22m
- Allen Farrington · May 15, 2026 · 1h 32m
- Live from Bitcoin Park · April 7, 2026 · 46 min
- Elliptic Curve Cryptography: Discrete Log Problem & Quadratic Residues · March 23, 2026 · 1h 22m
- Brian Solo - Shilling the Math Academy · March 15, 2026 · 44 min
- Elliptic Curve Cryptography: Inverses and Group Structure · March 2, 2026 · 1h 32m
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