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Offline Deterministic Gaming System Using Hierarchical Deterministic Key Derivation and Time-Based Entropy

Provisional patent application

Field of Invention

This invention relates to electronic gaming systems, and more specifically to systems and methods for generating deterministic, secure, and tamper-resistant game outcomes in a completely offline environment using cryptographic key derivation and time-based entropy techniques.

Background

Conventional gaming systems often rely on networked random number generators, which introduce trust and security risks. These systems are prone to manipulation, difficult to audit, and often require continuous connectivity. There is a need for a fully offline, deterministic, and cryptographically sound method for producing game outcomes in Vegas-style electronic gaming machines.

Summary

The invention discloses a method and apparatus for generating deterministic and secure gaming outcomes using a combination of:

• A BIP-32-style hierarchical deterministic key derivation system seeded from a master secret
• A TOTP-style counter mechanism for entropy timing
• A pseudorandom number generator seeded from derived keys or entropy values
• Optional enhancements including entropy augmentation, outcome commitment mechanisms, and hybrid derivation paths

The result is a game round that is unique and non-repeating, but still fully deterministic, without requiring any external connectivity.

Detailed Description

Master Key Generation

• A master seed is generated at machine manufacture or install time
• The seed is stored in secure offline hardware, such as a TPM, hardware wallet, or secure enclave

Time-Based Entropy

• A counter is derived from the current time, for example UNIX time divided into 30 second intervals
• The counter is used to create a path in the HD wallet tree: m/0/0/<counter>

Deterministic Key Derivation

• Using BIP-32 or similar, a child key is derived based on the path
• The child key or its hash, such as SHA256 of the key, is used as a PRNG seed

Pseudorandom Number Generation

• A standard PRNG, such as ChaCha20 or xoshiro256++, is seeded with the entropy value
• Game outcomes, such as slot symbols or dice rolls, are generated using this PRNG

Outcome Rendering

• The output from the PRNG determines the game display and payout according to pre-programmed rules

Logging

• Time counters or derived keys can be logged securely for future auditing or fairness validation

Variants and Enhancements

• Augmented entropy: combine time-based counter with internal nonces or action counters, such as m/0/<play_counter>/<timestamp>
• Shamir secret sharing: split the master seed among multiple physical components for enhanced tamper resistance
• Hash commitment trails: precompute and commit to a sequence of outcomes using Merkle trees or hash chains
• Non-TOTP inputs: use environmental factors, such as button press timing or sensor data, as salt
• Multiple key domains: separate audit, gaming, and RNG functions to isolate concerns, such as m/0/audit, m/1/game, m/2/rng
• Hardware RTC: use tamper-resistant real-time clock modules to prevent time manipulation
• Visual fairness feedback: display the hash of the seed or derivation path for independent validation
• On-demand seed revelation: support transparent gaming or challenge modes by revealing seeds post-game

Advantages

• Fully offline and self-contained
• Deterministic but unpredictable outcomes
• Tamper-evident and auditable
• Scalable across multiple games and machine types
• Provable fairness via seed revelation or hash commitments

Intended Use Cases

• Vegas-style slot machines and digital gambling terminals
• Secure promotional gaming devices
• Arcade-style skill-plus-chance machines
• Offline training and simulation tools

Claims Draft

• A method for generating deterministic gaming outcomes by deriving a time-based counter from current time, deriving a child key, and seeding a PRNG from that child key.
• A method wherein the master seed is stored in secure offline hardware.
• A method wherein the entropy is generated by applying a cryptographic hash to the derived child key.
• A method wherein the time-based counter is derived from UNIX time segmented into fixed intervals.
• A method wherein the master seed is split and stored using cryptographic secret sharing.
• A method wherein a hash of the derivation path is displayed on the gaming device to provide visual proof of fairness.
• A system comprising a secure seed storage module, a real-time clock module, a key derivation module, a PRNG module, and a game engine module.
• A system wherein the derivation module supports augmented entropy paths including nonces or interaction counters.
• A system for generating and verifying hash commitments to precomputed outcomes.
• A system wherein the real-time clock module is tamper-evident or tamper-resistant.

Closing Note

End of provisional patent application.