1.
Orochi Network
1.1.
Orocle V1
1.2.
Orand V2
1.3.
Orochi Network SDK
1.4.
Orand Contract Integration
1.5.
Orand Code Integration
1.6.
API Reference
2.
Verifiable Random Function (VRF)
2.1.
Overview of VRF
2.1.1.
Introduction to VRF
2.1.2.
VRF Algorithms
2.1.3.
VRF Security Properties
2.1.4.
History of VRF
2.2.
VRF Based on Elliptic Curve (ECVRF)
2.2.1.
Why using ECVRF
2.2.2.
ECVRF Construction
2.2.3.
ECVRF Auxiliary Function
2.2.4.
Implementation
3.
Distributed Key Generation (DKG)
3.1.
Overview of DKG
3.1.1.
DKG Properties
3.1.2.
DKG Application
3.2.
Verifiable Secret Sharing (VSS)
3.2.1.
Introduction
3.2.2.
Syntax and Properties
3.2.3.
Pedersen's Construction
3.3.
Construction
3.3.1.
Why Gennaro et al's Construction?
3.3.2.
Gennaro et al's Construction
4.
Threshold Signature
4.1.
Introduction
4.2.
Definition and Security
4.3.
Canneti et al 's Construction
4.3.1.
Key Generation
4.3.2.
Signing
4.3.3.
Verification
4.3.4.
Supporting Algorithms
4.3.5.
Identifying Aborts
4.3.6.
Security Consideration
4.4.
FROST's Construction
4.4.1.
Key Generation
4.4.2.
Signing
4.4.3.
Verification
4.4.4.
Supporting Algorithms
4.5.
Implementation Guideline
4.5.1.
Threshold signature using secp256k1 parameters
4.5.2.
Threshold signature using ed25519 parameters
4.5.3.
Threshold signature using sr25519 parameters
5.
Isogeny Based Crypto
5.1.
Overview of Supersingular Isogeny Graph
5.1.1.
Elliptic Curves
5.1.2.
Isogenies
5.1.3.
Supersingular Elliptic Curves
5.1.4.
Supersingular Isogeny Graph (Pizer Graphs)
5.1.5.
Applications of Pizer Graphs
6.
KZG Polynomial Commitment Scheme
6.1.
Polynomial Commitment Scheme - Definition
6.1.1.
Syntax
6.1.2.
Security Requirements
6.2.
Technical Overview
6.2.1.
Commitment to Polynomial Without Hiding Property
6.2.2.
Correct Evaluation from the Commitment
6.2.3.
Dealing with Hiding
7.
PlonK
7.1.
PlonK's Arithmetization
7.1.1.
Circuit Specification
7.1.2.
Breaking Circuit
7.1.3.
Gate Constraints
7.1.4.
Copy Constraints
8.
Halo 2 for Dummies
8.1.
PLONKish Arithemetization
8.1.1.
A Simple Arithmetic Circuit
8.1.2.
Transforming to PLONKish Arithmetization
8.2.
A Simple Halo 2 Program
9.
zkDatabase
9.1.
Accumulation
9.2.
B-Tree
9.3.
Composability
9.4.
Serialization
9.5.
Data Collection
9.6.
Distributed-Storage-Engine
9.6.1.
IPFS
9.6.2.
Storage-Engine
9.7.
Merkle-Tree
Bibliography
Light
Rust
Coal
Navy
Ayu
Orochi Network's Cookbook
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