'Sin7Y Tech Review (28): Specification for Marlin' sin7y zkvm
Define polynomial ^zA, ^zB, ^zC ∈ F<|H| + b[X]z^A, z^B, z^C ∈ F< |H| + b[X] for vectors z_A, z_B, z_C satisfying that the value on the group H is consistent with the vector, where the order of the groupAdd b redundant point without exposing any information of wDefine a polynomial for wDefine Polynomials for Matrices A, B, C
In order to reduce the computational complexity for the verifier , we use a special form to represent the matrix. Below is an example using matrix A.
Now, we multiply a factor r for each element of ^z_A on group H, then in order to ensure balance, we should multiply a factor r for the A^z which is as shown in the following figureLikewise, we can also derive it from the formula That is, if it can be proved that the accumulation of polynomials q on group H is 0, the linear relationship among ^z_A, A, ^z is established.
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