Zero Knowledge Proof- Notes
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  • Intro
    • Group
    • Polynomial
    • Collision Resistance
    • Pairings
    • Public Coin
  • Pedersen Commitment
  • Kate Commitment Scheme (KZG)
    • Intro
    • Multilinear extension
    • Sum-Check protocol
    • GKR Protocol
    • Intro
    • Jagged Function
    • Jagged Basic
    • Jagged Assist
    • Fancy Jagged
    • Read-Once Branching Programs
    • Matrix Branching Program
    • Table to Polynomial
    • With4 Robp
    • Intro
    • Reed-Solomon Coeds
    • Fast Fourier Transform
    • Arithmetization
    • FRI Commitment
    • List
    • zeitgeist-write-up
    • dont-look-up-write-up
    • shadow-write-up
    • Fundamental Theorem of Cyclic Groups
    • roots-of-unity-v1
    • squaring-the-generator-v1
    • polynomial-representations-v1
    • multiplication-of-two-polynomials-v1
    • fft-v1
    • proving that a polynomial is zero everywhere on a subdomain
  • Papers

On This Page

  • Monic Polynomial
  • Quadratic Polynomial
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BasicsPolynomial

Monic Polynomial

  • A non-zero univariate polynomial where the leading coefficient is 1.
  • Example
\[x^4 - 2x^3 + 5x - 7 \] \[x-2 \]
  • \(3x^2 - 4\) is not a monic polynomial.

Quadratic Polynomial

  • A polynomial equation of the degree 2, which means it has at least one squared term.
  • The general form of a quadratic equation is \(ax^{2}+bx+c=0\). 
GroupCollision Resistance

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