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| ---- /!\ '''Edit conflict - other version:''' ---- Parallel algorithms: * Multimodular algorithms * Scalar algorithms * Peter Montgomery's remainder algorithm a mod b, precompute b1 = B mod b, b2 = B^2 mod b, b3 = B^3 mod b, then write a = a0 + a1*B + a2*B^2 +..., then compute a0 + a1*b1 + a2*b2 +.... and do final reduction mod b. Multiplications can be done in parallel. ---- /!\ '''Edit conflict - your version:''' ---- |
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* Addition and subtraction can be parallelised using nails - non-unique representation of numbers |
MPIR - Parallel Algorithms and CUDA
Present : Carl Witty, Bill Hart, Michael Abshoff, Glenn Tarbox Virtually Present : Jeff Gilchrist, Gonzalo Tornaria
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Parallel algorithms:
- Multimodular algorithms
- Scalar algorithms
Peter Montgomery's remainder algorithm a mod b, precompute b1 = B mod b, b2 = B2 mod b, b3 = B3 mod b, then write a = a0 + a1*B + a2*B^2 +..., then compute a0 + a1*b1 + a2*b2 +.... and do final reduction mod b. Multiplications can be done in parallel.
- Addition and subtraction can be parallelised using nails - non-unique representation of numbers