Penumbra
1.
Concepts and Mechanisms
❱
1.1.
Validators
1.2.
Batching Flows
1.3.
Addresses and Keys
1.4.
Assets and Amounts
1.5.
Notes, Nullifiers, and Trees
1.6.
Transactions
1.7.
Governance
2.
Cryptographic Protocol
❱
2.1.
Cryptographic Primitives
2.2.
Proving Considerations
2.3.
The decaf377 group
❱
2.3.1.
Costs and Alternatives
2.3.2.
Inverse Square Roots
2.3.3.
Decoding
2.3.4.
Encoding
2.3.5.
Group Hash
2.3.6.
Test Vectors
2.4.
Randomizable Signatures
2.5.
Key Agreement
2.6.
Poseidon for BLS12-377
❱
2.6.1.
Overview of Poseidon Construction
2.6.2.
Poseidon Parameter Generation
2.6.3.
Test Vectors
2.7.
Fuzzy Message Detection
❱
2.7.1.
Sender and Receiver FMD
2.7.2.
Constructing S-FMD
2.7.3.
S-FMD Threat Model
2.7.4.
S-FMD in Penumbra
2.7.5.
Parameter Considerations
2.8.
Flow Encryption
❱
2.8.1.
Ideal Functionality
2.8.2.
The eddy construction
2.8.3.
Distributed Key Generation
2.8.4.
Homomorphic Threshold Encryption
2.8.5.
Flow Encryption and Consensus
2.9.
Transaction Signing
3.
Groth 16 Setup Ceremony
❱
3.1.
Groth16 Recap
3.2.
Discrete Logarithm Proofs
3.3.
Contributions
4.
Addresses and Keys
❱
4.1.
Spending Keys
4.2.
Viewing Keys
4.3.
Addresses and Detection Keys
4.4.
Payload Keys
5.
State Commitment Tree
❱
5.1.
Tiered Commitment Tree
5.2.
Nullifiers
6.
Multi-Asset Shielded Pool
❱
6.1.
Asset IDs and Value Commitments
6.2.
Note Plaintexts
6.3.
Note Commitments
6.4.
Note Ciphertexts
6.5.
Transaction Actions
❱
6.5.1.
Spend
6.5.2.
Output
7.
Decentralized Exchange
❱
7.1.
Sealed-Bid Batch Swaps
7.2.
Concentrated Liquidity
7.3.
LPNFTs
7.4.
On-Chain Routing
7.5.
Liquidity Compensation
7.6.
Transaction Actions
❱
7.6.1.
Swap
7.6.2.
SwapClaim
7.6.3.
Position Actions
8.
Staking and Delegation
❱
8.1.
Staking Tokens
8.2.
Validator Rewards and Fees
8.3.
Voting Power
8.4.
Delegation
8.5.
Undelegation
8.6.
Example Staking Dynamics
8.7.
Arithmetic
8.8.
Transaction Actions
❱
8.8.1.
Delegate
8.8.2.
Undelegate
8.8.3.
UndelegateClaim
9.
Governance
❱
9.1.
Transaction Actions
❱
9.1.1.
DelegatorVote
10.
IBC Integration
❱
10.1.
Transaction Actions
Light
Rust
Coal
Navy
Ayu
The Penumbra Protocol
Key Agreement