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Make Richelot isogeny chains subquadratic #9

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merged 1 commit into from Aug 4, 2022

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remyoudompheng
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The previous patch reduced the number of squaring operations
in the Jacobian from n^2/2 to about n^2/16 + 4*n.

By adjusting which point power is cached and passed to
the next iteration we can obtain a O(n^1.5) complexity.

This provides a modest 10-15% speedup for large keys.

The previous patch reduced the number of squaring operations
in the Jacobian from n^2/2 to about n^2/16 + 4*n.

By adjusting which point power is cached and passed to
the next iteration we can obtain a O(n^1.5) complexity.

This provides a modest 10-15% speedup for large keys.
@GiacomoPope GiacomoPope merged commit 6c76d27 into GiacomoPope:main Aug 4, 2022
@remyoudompheng remyoudompheng deleted the richelot-fast2 branch August 5, 2022 05:11
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2 participants