This is an implementation of the Karatsuba polynomial multiplication algorithm in the LEGv8 assembly language, a RISC ISA part of the ARM architecture family. This was done as my final project for ECE ...

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For example, consider the multiplication of two 8-bit unsigned binary numbers (Figure 1 ). Using this algorithm, a partial product is generated for each bit in the multiplier (note that the hyphen (“- ...

We present a new double point multiplication algorithm based on differential addition chains. Our proposed scheme has a uniform structure and has some degree of built-in resistance against side ...

So if you do 32x32 with the naive algorithm, and 64x64 with strassen, you save ONE n^3 matrix multiplication and lose EIGHTEEN n^2 matrix additions with n = 32 for a massive overall saving.