The Bose–Chaudhuri–Hocquenghem (BCH) theorem is a fundamental result in coding theory that provides a method for constructing cyclic codes with specific error-correcting capabilities. This theorem offers a systematic way to derive codes that can correct multiple errors in a transmitted message, which is crucial for reliable data communication. By utilizing algebraic structures such as finite fields and polynomials, the BCH theorem aids in the design of codes that enhance data integrity over noisy channels.
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