Sidnei Teixeira
Hi, I'm Sidnei Teixeira — a software engineer working through graphics, cryptography, and DSP one concept at a time.
Sections
The mental cache — concept explainers, worked through with simulations.
Essays, opinions, and eureka moments.
Dated entries from personal projects, as they happen.
Recent
Follow scalar multiples around a finite curve to distinguish curve order, point order, subgroups, base points, cofactors, and the base and scalar fields.
June 11, 2026 · NotesIntroduction To Elliptic CurvesA high-level orientation to elliptic curves and the mathematical path from smooth real curves to finite-field point groups.
June 11, 2026 · NotesElliptic Curves Over Real NumbersBuild visual intuition for elliptic curves using real-number curves, Weierstrass form, smoothness, and curve points.
June 11, 2026 · NotesPoint Addition And The Elliptic Curve GroupLearn the chord-and-tangent point addition rule, point doubling, inverse points, the point at infinity, and why curve points form a group.
June 11, 2026 · NotesScalar MultiplicationUnderstand scalar multiplication as repeated point addition and the efficient doubling methods that make large finite-field calculations practical.
June 11, 2026 · NotesFinite Fields And Modular ArithmeticLearn the prime-field arithmetic behind elliptic curves: modular operations, inverses, and division modulo p.