The speakers discuss various background techniques related to privacy and engineering in the context of Polkadot, including Fyichimir, MPCs, SNARKs, miracle roots, Spree modules, ZEXI components, and Mixnets. They explore the use of zero-knowledge proofs for scaling and mention the complexity of incorporating a state machine into a snark. They also discuss verification functions, randomness, Koda and ZK Rollup work, and introduce the Babe scheme for anonymous block production.

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