explore
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Polynomial Codewords on a 2D Grid
Explore polynomial evaluation codes as finite-field images: a CEIX interaction explorer plus a CECX concept journey through grids, monomials, zeros, Hamming weight, and code design.
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2D Polynomial Codes (2)
Field Notes: Exploring 2D Polynomial Codes This is a first working version of a Curious Engineering explorer for 2D polynomial evaluation codes. It lets you choose polynomial monomial regions, generate codewords as finite-field grids, view them as pixel images, and inspect Hamming-weight and brightness distributions. You do not need to understand everything yet. Start by…
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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…