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My notes
Overview
Tonelli’s Algorithm
Curve Selection
Complex Multiplication
MNT Curves
Hilbert Class Polynomials
Pell Equations
Finding Roots of Polynomials
Bilinear Pairings
The Tate Pairing
Balasubramanian-Koblitz Theorem
Miller’s Algorithm
Pairings Redefined
Optimizing The Tate Pairing
The Tate Exponentiation
Compressed Pairings
Quick-Reference: Identity-Based Cryptosystems