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==Definition==
An ''alternant code'' over GF(''q'') of length ''n'' is defined by a parity check matrix ''H'' of [[alternant matrix|alternant]] form ''H''<sub>''i'',''j''</sub> = α<sub>j</sub><sup>i</sup>''y''<sub>''i''</sub>, where the α<sub>''j''</sub> are distinct elements of the extension GF(''q''<sup>''m''</sup>), the ''y''<sub>''i''</sub> are further non-zero parameters again in the extension GF(''q''<sup>''m''</sup>) and the indices range as ''i'' from 0 to δ
==Properties==
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