'Oh Just a Stark Technical Analysis' by Sin7Y_Labs sin7y stark
The number of coefficients is consistent with that of constraints4.2 Establish the Evaluator for t-cs and b-cs1. Obtain the degree of t-cs 2.
Draw an out-of-domain point z. Depending on the type of E, the point is drawn either from the base field or from an extension field defined by E.6.2 Evaluate Trace and Constraint Polynomials at the OOD Point zood_frame={cur: [trace_poly_0, trace_poly_1], next: [trace_poly_0, trace_poly_1]}6.3 Establish Deep Composition Polynomialpub struct DeepCompositionCoefficients { /// Trace polynomial composition coefficients $\alpha_i$, $\beta_i$, and $\gamma_i$.
trace.length=fold_factor ^ Layer_num + remainder_size; fold_factor={4, 8, 16} remainder_size , remainder: Vec, // last poly num_partitions: u8, // stored as power of 2 } pub struct FriProofLayer { values: Vec, paths: Vec, }9.3 Query Constraint Poly at Above PositionsStarkProof { context: self.context, commitments: self.commitments, ood_frame: self.ood_frame, trace_queries, constraint_queries, fri_proof, pow_nonce: self.
pub struct FriVerifier where B: StarkField, E: FieldElement, C: VerifierChannel, H: ElementHasher, { max_poly_degree: usize, domain_size: usize, domain_generator: B, layer_commitments: Vec, //flod_poly commitment layer_alphas: Vec, // random numbers options: FriOptions, num_partitions: usize, _channel: PhantomData, }4. Execute the FRI VERIFY process
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