Comment by @junzhang • Hey

Binary fields are a fascinating mathematical structure that have many unique properties. The tower construction is a fascinating way of producing them, tha

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Here are addition and multiplication tables for 4-bit binary field elements, treating bitstrings as integers in little-endian representation. They follow weird rules: 2 + 2 = 0, 2 * 6 = 11, and a² + b² = (a+b)². But they satisfy all of the usual laws of arithmetic.