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For Students · Hamming Code

Hamming Code for an elliptic curve

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate an elliptic curve live below — adjust the inputs and watch it respond, right in your browser.

Hamming Error CorrectionLive

fixing a flipped bit

transmitted codeword (7 bits)

0110011

received (with your error)

0110011

no error detected

Controls

Data bits (4)

Corrupt a transmitted bit

Presets

no error

The Hamming(7,4) code adds three parity bits to four data bits so any single-bit error can be found and fixed. Each parity bit checks a different overlapping group; after transmission, recomputing them gives a syndrome whose binary value points straight at the corrupted position. Error-correcting codes like this protect RAM, deep-space links, and QR codes.

▶ Run in Python

Data Inspector

Parity bits010

Syndrome0

Error atnone

Corrected?yes ✓

Governing equation

d_{m i n} = 3, R = \frac{k}{n} = \frac{4}{7}, s = (000)_{2} = 0

Reading this result: No bit was flipped, so all three parity checks pass and the syndrome is 0 — the receiver accepts the codeword unchanged.

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More with Hamming Code

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Frequently asked questions

Is this good for students?: Yes — this version of "Hamming Code for an elliptic curve" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.