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OUTLINE. [1] Finite fields[2] Minimal polynomials[3] Cyclic Hamming codes[4] BCH codes[5] Decoding 2 error-correcting BCH codes. BCH Codes. [1] Finite fields1. Irreducible polynomialf(x)?K[x], f(x) has no proper divisors in K[x]Eg. f(x)=1 x x2 is irreduciblef(x)=1 x x2 x3=(1 x)(1 x2) i

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