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feat: improved recursive eccvm verifier field arithmetic #9612

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feat: improved recursive eccvm verifier field arithmetic #9612

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zac-williamson
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bigfield arithmetic optimizations and security fixes

  • Reduced the number of constant sumcheck rounds for the eccvm recursive verifier to 20
  • Reduced number of bigfield operations required to evaluate sumcheck monomials (~50k gate reduction)
  • Fixed security issue where recursive sumcheck verifier was not constraining a witness to equal 1
  • reduced number of field operations required to evaluate eccvm relations (should have small benefits for eccvm prover and recursive verifier)

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