Game Mechanics and Modes
The game generates a 3 by 3 matrix A using nine fair bits. The core mechanic involves calculating the unique inverse of this matrix over the Galois Field GF(2).
- Singular Matrices: If the matrix is singular, the reward is zero.
- Non-Singular Matrices: The reward is the count of nonzero entries in the unique inverse.
The raw reward is raised to the power of 1, 2, or 3, depending on the selected mode. This value is then normalized by its exact mean over all equally likely complete draws. Each mode offers an expected gross return of 96%.
Stake and Controls
Stake buttons are available at values of 10, 20, 50, and 100 virtual coins.
- Stake Capture: One whole stake is captured per board.
- No Auto/Stop: There is no automatic queue or early cash-out feature.
- Controls: Stake, mode, and refill buttons are locked during active play. Sound controls remain available.
Payout and Settlement
Displayed multipliers represent gross coin returns, not net profit. The mathematical evidence records the actual payout for every mode.
| Mode (Power) | Expected RTP | Measured RTP (Sample) |
|---|---|---|
| 1 | 96.00% | 96.22% |
| 2 | 96.00% | 95.83% |
| 3 | 96.00% | 96.25% |
Fractional carry persists through settlement and manual refills. An unfinished round ends without refund if the page is reloaded.
Wallet and Balance
The demo starts with an initial balance of 1000 virtual coins.
- Restoration: If the idle balance drops below 10, it can be manually restored to exactly 1000.
- Persistence: The settled balance and fractional carry are stored locally.
- No Account: There is no account login flow or external payment integration in this demo.
Privacy and Storage
The game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing. The template declares a Google Fonts stylesheet, but actual full-site network capture remains pending. No personal data processing is confirmed by this demo alone.
Audience and Responsibility
This guide targets an 18+ audience. This is a policy choice for this independent review, not a universal legal age or an implemented age gate. Responsible use involves setting personal time and virtual-coin limits. The demo does not clinically train behavior or make losses safe.
Frequently asked questions
How is the reward calculated in Inverse Hamming?
The reward is based on the count of nonzero entries in the unique inverse of a 3x3 matrix formed by nine fair bits over GF(2). If the matrix is singular, the reward is zero. The raw reward is raised to a power (1, 2, or 3) and normalized by its exact mean.
What happens if I reload the page during a game?
An unfinished round ends without refund or resume. The fractional payout change persists, but the specific board state is not restored.
Can I restore my balance if it runs low?
Yes, if your idle balance is below 10, you can manually restore it to exactly 1,000 virtual coins. This is a local demo feature and does not involve external deposits.
