2D Polynomial Codes

Today’s exploration, inspired by a conversation with Prof. S.

Visualizing 2D polynomial ideal codes over finite fields. The explorer below lets you choose monomial regions to define an algebraic ‘ideal’ that represents an error-correcting code in a polynomial ring. The codewords are rendered as grids, weight and brightness distributions can be explored.

Explore this artifact through 7 questions

Use these guided questions to understand what the explorer is showing and what to try next.


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