BCH code: Difference between revisions

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==== Example ====
Let {{math|''q'' {{=}} 2}} and {{math|''m'' {{=}} 4}} (therefore {{math|''n'' {{=}} 15}}). We will consider different values of {{mvar|d}}. For {{math|GF(16) {{=}} GF(2<sup>4</sup>)}} based on the polynomial {{math|''x''<sup>4</sup> + ''x'' + 1}} with primitive root {{math|''α'' {{=}} ''x''+0}} there are minimum polynomials {{math|''m''<sub>''i''</sub>(''x'')}} with coefficients in {{math|GF(2)}} satisfying
:<math>m_i\left(\alpha^i\right) \bmod \left(x^4 + x + 1\right) = 0.</math>