A method for computing addition tables inGF(p^n)(Corresp.)
Kyoki Imamura · IEEE Transactions on Information Theory · 1980
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 equation\alpha^{z(x)}=\alpha^{x} + 1, where\alphais a primitive element, zero is written as\alpha^{\ast}, andx=\ast,O,1, \cdots ,p^{n}-2. A simple algorithm for making a table of Zech's logarithms is presented.