- zkProof Standards - Resource
- ZK Mesh - resource
- Curated list of ZKP implementations
- Awesome - Matter labs - ZK proofs
- Awesome - Mikerah - Privacy on Blockchains
- Awesome - Worldcoin - ZK Machine Learning
- Resource: Awesome_Plonk
- ZK research 0x
- ZK canon
-
Introductory:
- ZK Whiteboard Sessions
- An incomplete guide to zk: why zk matters
- Applications of ZKPs
- PCP - Probablistically Checkable Proofs
- ZKP beginner resources
- ZK jargon decoder
- Amit Sahai explaining ZK to people of all ages - video
- An introduction to how zk snarks are possible - Vitalik
- Using zkSnarks for privacy: Vitalik
- ZudoKu - intuitive no-math ZK Primer using Sudokus
- Introduction to Zk SNARKS -Decentriq
- Zk blog
- Zk_primer_1 M.Green
- Zk_primer_2 M.Green
- Interactive_proofs and Zk
- Zk - proofs with examples
- Merkle Trees
- KU Lueven: Intro to ZK part 1
- Simple intro to ZKP
- A cambrian explosion of crypto proofs -Ben Sasson
- Hunting of the SNARK Walton-Pocock: Part 1, Part 2,Part 3
- On interactive proofs and ZKP - Yannik Goldgrabe
- Exploring ZK with Groth
- Breaking supersingular isogeny DH * Galbraith
-
ZK whiteboard sessions by ZK Hack:
- Part 1: What is a SNARK?
- Part 2: Building a SNARK (Part I):
- Part 3: Building a SNARK (Part 2)
- Part 4: SNARKS vs. STARKS
- Part 5: PLONK and Custom Gates with Adrian Hamelink
- Part 6: Lookup Arguments for Performance Optimisation
- Part 7: Zero Knowledge Virtual Machines (zkVM)
- Part 8: Achieving Decentralised Private Computation
- Part 9: Introduction to zkRollups
-
Trusted Setup:
-
Vitalik Snark tutorial:
-
All about STARKS:
- Introduction
- Papers
- Vitalik Stark tutorials:
- STARK Math series:
- Stark 101 - hands on
- Anatomy of a STARK
- BrainSTARK
- STARK vs SNARK
- STARK Week
- EthSTARK
- Recursive STARK -Avihu Levy
-
Recursive Snarks:
-
Zero Knowledge Hands-on:
- zero knowledge with Bellman
- Cryptohack - hands on cryptography
- Zk hack puzzles
- Hands on ZK - ZK learning group
- Intro to zk: do it yourself circuits
- Zk Sudoku - Python
- Arnacube implementations
- Rust Cryptographic libraries
- DAPP fron scratch - Vivian Plasencia
- Crrl: Cryptography research library - Thomas Pornin
- Zordle - Zk wordle
- Mental Poker: Part 1
- Mental poker: Part 2
-
Ethereum
-
General
- Digital identity in ZK
- ZKp security in practice
- Wei Dai - Navigating privacy in Blockchains
- Zk lottery
- Threshold Encryption
- Vulnerabilities in zk systems
- Vulnerability in Fiat-Shamir
- Frozen heart vulnerability: Bulletproof
- Frozen heart vulnerability: Plonk
- Hertzbleed attack: sidechannel
- Stress testing Zk systems: Zk docs
- An intuitiive understanding of cryptography
- Zero knowledge Proof mining
- zk ML
- Practical Cryptography for Devs: Nakov
- deep dive into DKG chain of snarks and arkworks
- Range Checks in Miden VM
- GKR implementaton - Justin Thaler
- Verifiable computing stack
- ZKp from Information theoretic Proof systems 1 - Yuval Ishai
- ZKP from Information theoretic Proof systems 2 - Yuval Ishai
- A cambrian explosion of ZKP's - Ben-Sasson
- Secure computing and hardware acceleration
- Crypto canon
- DAO canon
-
MPC
- Yau;s garbled circuits: MPC
- A gentle introduction to YAU's Garbled circuits
- Setup ceremonies - Pruden & Matlala
- Collaborative zk-Snarks
- a Multi-Prover Zero-Knowledge Proof System
- Trinocchio: Privacy-Preserving Outsourcing by Distributed Verifiable Computation
- Zero-Knowledge Proofs on Secret-Shared Data via Fully Linear PCPs
- Prio: Private, Robust, and Scalable Computation of Aggregate Statistics
- ATLAS (Goyal, CMU) Efficient and Scalable MPC in the Honest Majority Setting
-
Gaming
-
Comprehensive protocol books:
-
ZK Rollups
-
ZK bridges
-
Accelerating Zero Knowledge:
- Why and how Zero knowledge works
- The math behind ZkSNARK - video
- De-mystifying Zk proofs -workshop
- BIU_Crypto_School_2019 -Zero Knowledge
- BIU_Crypto_School_2022 - Advances in Secure computation
- Cryptography lectures
- Foundations of Block chains - Tim Roughgarden
- Foundations of probabilistic proofs - Alessandro Chisea
- Basics of zkSTARK and zkSNARK
- An Introduction to Secret-Sharing-Based Secure Multiparty Computation - Daniel Escudero
- Proofs Arguments and Zero Knowledge - Justin Thaler
- This is a regularly updated book, discord zk study club from mid april.
- ZKP - Modular approach -Yuval Ishai
- A review of zk-SNARKS
- Recursive SNARKs - Stanford lecs
- All about Verifiable Delay Functions (VDF's) - VDFresearch
- Chiesea - Thesis - Recursive SNARK
- Berry Lecture Notes
- AppliedZk workshop
- Cryptographic Protocls: lectures
- CS355:Topics in Cryptography- Stanford online
- Zero Knowledge: A tutorial by Oded Goldreich
- Zk summit videos
- An evolution of ZKP - Sarah Meiklejohn
- Pinocchio - 2013
- TinyRAM - 2013
- vnTinyRAM - 2014
- Geppetto - 2015
- Buffet - 2015
- Groth -2016
- Ligero - 2017
- ZoKrates - 2018, Code: ZoKrates
- xjSNARK - 2018
- vRAM - 2018
- Bulletproof - 2018
- Hyrax - 2018
- zk-STARK -2018
- Sonic - 2019
- Plonk - 2019
- Plonk high level summary
- Talk: Ariel Gabizon
- Talk: Zac Williamson
- Understanding Plonk - Vitalik
- From AIRs to RAPs - how PLONK-style arithmetization works
- On optimizations of Plonk
- Custom gates on plonk -Do whatever
- Plonk Cafe
- code: Heliaxdev, code: Kobigurkan ,code: ZKgarage, code: Dusknetwork,code: Jellyfish includes plookup ,Resource: Awesome_Plonk
- Resource: Plonk by hand -1 Metastate
- Resource: Plonk by hand -2 Metastate
- Resource: Plonk by hand -3 Metastate
- Resource: Plonk and Plookup Metastate
- Turboplonk
- Custom gates in plonk
- Plonk: Thomas Piellard
- ZKP intro to Plonk - Star Li
- Multi set checks in Plonk and Plookup: Gabizon
- Plonk - Kimchi: Mina Protocol
- Redshift - 2019
- Spartan - 2019
- Halo - 2019
- Aurora - 2019
- MIRAGE - 2020
- Marlin - 2020
- Fractal -2020
- Lunar - 2020 - Optimizations for Marlin.
- SuperSonic - 2020
- Virgo - 2020, code
- Plookup -2020
- Zilch - 2021, code
- Darlin - 2021,code
- Plonkup -2021
- FFlonk -2021 a FFT friendly Plonk
- Brakedown - 2021
- Nova - 2021, code - Srinath Setty - Talk - Srinath Setty - Video
- Plonky2 - 2022,
- Halo 2 - library
- Gemini - 2022, Arkworks
- Caulk - 2022
- Number theory explained from first principles
- An introduction to the theory of finite fields
- MIT lectures -FInite Field arithmetic
- Finite field arithmetic Doche Lange
- Aztec emulated field and group operations
- An introduction to the Arithmetic of Elliptic curves - Comprehensive series of lectures - Pre req: Galois Theory,
- ECC cryptobook
- Cures over finite fields - Lectures
- Elliptic curves Chapter 4 Washington
- Elliptic Curves: MIT lectures
- Corbellini - ECC
- ECC primer
- Silverman - ECC talk
- Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms
- Solinas - Efficient Arithmetic on Koblitz Curves
- Koblitz curve cryptosystems
- Elliptic Curve Cryptosystems (Koblitz Curves)
- Algorithm to Find Elliptic curves with a subgroup of a given size
- Elliptic curves number theory and cryptography
- Elliptic curve Arithmetic Curve addition - Doche-Lange
- Elliptic Curve Arithmetic Exponentiation -Doche Lange
- Elliptic curves of characteristic 2 or 3 - John Cook
- Addition/Doubling formulae
- Visualize Elliptic curves
- Pairings:
- Specific curves
- General
- R1CS constraint system
- Daira Hopwood - Efficient R1CS circuits: Video
- Quadratic Arithmetic programs R1CS 0 to H - Vitalik Buterin
- Aleo - Basics of R1CS Zero Knowledge Proofs: How Cryptographers can prove anything
- Alex Pinto - Constraint system for snarks
- Alex Pinto - How to build QAP
- Alex Pinto - Vanishing polynomial for QAP
- QAP from zero to hero: Vitalik
- R1CS workshop - Mir
- AIR Arithmetization
- FFT - Vitalik
- Reed-Solomon code: Vitalik
- FFT Notes
- The Fast Fourier Transform in a Finite Field - Pollard
- Number Theoretic Transform (NTT): Introduction
- NTT with code
- NTL: a library for NTT
- Elliptic Curve Fast Fourier Transform (ECFFT) Part I: Fast Polynomial Algorithms over all Finite Fields: Eli Ben-Sasson et.al
- ECFFT-2 Ben-Sasson et.al
- FFT - Ferror Moreno thesis
- Zcash once again for FFT
- FFT for polynomial multiplication
- A quick barycentric evaluation tutorial - Vitalik
- Barycentric interpolation - Math Oxford
- Thesis: BUNTTERFLY: A Flexible Hardware Generator for the Number Theoretic Transform - Jason Vranek
- General
- KZG
- Vector Commitments
- FRI Fast Reed Solomon Interactive Oracle Proofs of Proximity
- Inner product Arguments (IPA)
- Fast Multi-scalar Multiplication Methods on Elliptic Curves with Precomputation Strategy Using Montgomery Trick
- Faster batch forgery identification See section 4 for MSM, bucket method
- Pippenger's exponentiation algorithm - Bernstein
- Efficient multi-exponentiation
- A Taxonomy of Circuit Languages - Talk - Alex Ozdemir
- Multi-scalar multiplication: state of the art & new ideas with Gus Gutoski
- Improved Fast exponentiations - Bodo Moller
- Fast exponentiation with precomputation - Brickell Gordon et al
- Matter labs -ALgorithms
- Ryah Henry - Thesis
- Efficient Multi exponentiation: Bucket method - Bootle
- Hardware acceleration
- A Fast Large-Integer Extended GCD Algorithm and Hardware Design for Verifiable Delay Functions and Modular Inversion
- Optimized Binary GCD for Modular Inversion
- Library of Algorithms
- Modular Multiplication and Hardware implementations - Review
- Evaluation of large integer multiplications in hardware - Review
- Hardware friendly modular mult
- ZKP friendly hash functions: SOK
- Merlin: Fiat-Shamir magic generator
- Keccak: Sponge and Duplex constructions
- POSEIDON: A New Hash Function for Zero-Knowledge Proof Systems
- some documentation
- Encryption With Poseidon: Dima Khovratovich
- SAFE A tool box for Poseidon API
- code: filecoin
- code: Ingonyama (python)
- code: snarkVM Aleo Poseidon
- Encoding of long objects in Poseidon - Dmitry Khovratovich
- Poseidon in Filecoin - Dmitry Khovratovich
- Talk Grassi
- code: Dusk network
- code: Dust netowrk - Poseidon merkle
- code: Triplewz - GO
- Poseidon vs Rescye
- Plonky2: Poseidon gate
- Penumbra: Poseidon Decaf377
- Rescue-Prime: a Standard Specification (SoK)
- MiMc
- Reinforced concrete
- Sinsemilla: A circuit-efficient, lookup-based collision-resistant hash function
- Blake
- Merkle Trees
- S box properties
- Hash Bounties
- TFHE deep dive: ZAMA AI - Ilaria Chilloti
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