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Zech's logarithm
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{{short description|Tool for a fast finite-field arithmetic}} {{Use dmy dates|date=May 2019|cs1-dates=y}} '''Zech logarithms''' are used to implement addition in [[finite field]]s when elements are represented as powers of a generator <math>\alpha</math>. Zech logarithms are named after [[Julius Zech]],<ref name="Zech_1849"/><ref name="Zech_1863"/><ref name="Zech_1892"/><ref name="Zech_1910"/> and are also called '''Jacobi logarithms''',<ref name="Lidl_1997"/> after [[Carl Gustav Jacob Jacobi|Carl G. J. Jacobi]] who used them for [[number theoretic]] investigations.<ref name="Jacoby_1846"/>
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