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small-sumcheck.pdf

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The Sum-Check Protocol over Fields of Small Characteristic Justin Thaler∗ Abstract The sum-check protocol of Lund, Fortnow, Karloff, and Nisan underlies SNARKs with the fastest known prover. In many of its applications, the prover can be implemented with a number of field operations that is linear in the number, n, of terms being summed. We describe an optimized prover implementation when the protocol is applied over an extension field…

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