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Implement the 64 bits Goldilocks, with $F = 2^64 - 2^32 + 1$
This shouldn't be done with the MontgomeryBackend, and instead should be optimized. NTT shouldn't be implemented before defining how it will be handled with extension fields.
Implement Goldilocks Field with the specific backend
Implement the 64 bits Goldilocks, with$F = 2^64 - 2^32 + 1$
This shouldn't be done with the MontgomeryBackend, and instead should be optimized. NTT shouldn't be implemented before defining how it will be handled with extension fields.
For reference code:
Plonky 3
Risc Zero
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