Title :
Some comments on Zech´s logarithms
Author_Institution :
Inst. fuer Netzwerk- und Signal Theorie, Tech. Hochschule Darmstadt, West Germany
fDate :
7/1/1990 12:00:00 AM
Abstract :
Some properties of Zech´s logarithms are stated and exploited to compute Zech´s logarithms from a restricted set of key elements. Zech´s logarithms are recommended for the fast solution of quadratic, cubic, and quartic equations over GF(2m)
Keywords :
information theory; GF(2m); Zech´s logarithms; cubic equations; finite fields; information theory; quadratic equations; quartic equations; Decoding; Equations; Error correction; Galois fields; Jacobian matrices; Linear code; Polynomials; Public key; Public key cryptography;
Journal_Title :
Information Theory, IEEE Transactions on