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If ''d'' is not zero, the algorithm adjusts C(x) so that a recalculation of ''d'' would be zero:
:<math>C(x)
The x<sup>m</sup> term ''shifts'' B(x) so it follows the syndromes corresponding to 'b'. If the previous update of L occurred on iteration ''j'', then ''m = k - j'', and a recalculated discrepancy would be:
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