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Improve native field extension gadget #1497

@ivokub

Description

@ivokub

From #1493

Currently the native field extension package is very rudimentary. Improvement ideas:

  • implement Square() method
  • implement Inverse() and Divide() methods
  • use better extensions which allow better optimizations for mul-reduce
  • implement for generic extension (currently only implemented for x^n-1 and x^n-a)

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