Build a small polynomial evaluation code over Fq × Fq. Each coefficient vector defines a polynomial, and each polynomial becomes a tiny finite-field image.
The exponent grid shows monomials x^i y^j. Blue cells are included in the code’s generator basis. In custom mode, click cells to include or remove them.
Rows are x-values. Columns are y-values.
Red marker = current codeword. Computed exhaustively when feasible.
Brightness is the sum of field values across the grid. It is a visual statistic, not a standard code invariant.
Each selected monomial evaluates to one generator codeword. Linear combinations of these generator grids form the code.