A method for computing addition tables inGF(p^n)(Corresp.) |
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Abstract: | Conway showed that a table of Zech's logarithms is useful to perform addition in GF(p^{n})when the elements are represented as powers of a primitive element. The Zech's logarithmZ(x)ofxis defined by the equationalpha^{z(x)}=alpha^{x} + 1, wherealphais a primitive element, zero is written asalpha^{ast}, andx=ast,O,1, cdots ,p^{n}-2. A simple algorithm for making a table of Zech's logarithms is presented. |
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