This book focuses on fast algorithms for computing scalar multiplication (or point multiplication) on certain types of elliptic curves, as scalar multiplication is the most time-consuming operation in elliptic curve cryptography (ECC). More precisely, the text provides readers with both a theoretical perspective on the use of low Hamming weight Frobenius expansion for scalar multiplication and a practical perspective on the implementation of scalar multiplication using the above technique. ECC has a wide range of applications, including public-key encryption and digital signatures. However,...