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fix(basefold): typos of email address
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gy001 committed Sep 26, 2024
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2 changes: 1 addition & 1 deletion basefold/basefold-01.md
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# Notes on Basefold (Part I): Foldable Linear Codes

- Yu Guo <yu.guo@secbi.io>
- Yu Guo <yu.guo@secbit.io>
- Jade Xie <[email protected]>

Basefold can be regarded as an extension of FRI, thereby supporting Proximity Proofs and Evaluation Arguments for Multi-linear Polynomials. Compared to Libra-PCS, Hyrax-PCS, and Virgo-PCS, Basefold does not rely on the MLE Quotients Equation to prove the value of an MLE at the point $\mathbf{u}$:
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2 changes: 1 addition & 1 deletion basefold/basefold-02.md
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# Notes on Basefold (Part II): IOPP

- Yu Guo <yu.guo@secbi.io>
- Yu Guo <yu.guo@secbit.io>
- Jade Xie <[email protected]>

## Proof of Proximity
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2 changes: 1 addition & 1 deletion basefold/basefold-03.md
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# Notes on Basefold: MLE Evaluation Argument

- Yu Guo <yu.guo@secbi.io>
- Yu Guo <yu.guo@secbit.io>
- Jade Xie <[email protected]>

Assume we have an MLE polynomial $\tilde{f}(\vec{X})\in\mathbb{F}[\vec{X}]^{\leq1}$, an evaluation point $\mathbf{u}\in\mathbb{F}^d$, and the result of the polynomial's operation at the evaluation point $v=\tilde{f}(\mathbf{u})$. We aim to construct a Polynomial Evaluation Argument based on the Basefold-IOPP protocol.
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2 changes: 1 addition & 1 deletion basefold/basefold-04.md
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# Notes on BaseFold (Part IV): Random Foldable Codes

- Jade Xie <[email protected]>
- Yu Guo <yu.guo@secbi.io>
- Yu Guo <yu.guo@secbit.io>

Previous articles have mentioned that BaseFold extends the FRI IOPP by introducing the concept of *foldable codes*. Additionally, by combining the Sumcheck protocol, it can support PCS for multi-linear polynomials. The next crucial question is how to explicitly construct such *foldable codes*. We aim for these foldable codes to possess the following properties:

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2 changes: 1 addition & 1 deletion basefold/basefold-05.md
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# Notes on Basefold (Part V): IOPP Soundness

- Jade Xie <[email protected]>
- Yu Guo <yu.guo@secbi.io>
- Yu Guo <yu.guo@secbit.io>

In this article, we will outline the proof approach for IOPP soundness presented in the [ZCF23] paper, which is similar to the soundness proof for the FRI protocol in [BKS18]. It employs a binary tree method to analyze points where the Prover might cheat, a concept also appearing in the soundness proof of the DEEP-FRI protocol in [BGKS20].

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