Title :
Trigonometry in finite fields and a new Hartley transform
Author :
De Souza, R. M Campello ; de Oliveira, H.M. ; Kauffman, A.N. ; Paschoal, A.J.A.
Author_Institution :
Dept. de Eletronica e Sistemas, CODEC, Recife, Brazil
Abstract :
A trigonometry for finite fields is introduced. In particular, the k-trigonometric functions over the Galois field GF(q) are defined and their main properties derived. This leads to the definition of the cas k(.) function over GF(q), which in turn leads to a finite field Hartley transform (FFHT). The FFHT presented here is different from an earlier version and seems to be the more natural one
Keywords :
Galois fields; discrete Hartley transforms; information theory; Galois field; finite field Hartley transform; finite fields; k-trigonometric functions; main properties; trigonometry; Codecs; Convolution; Convolutional codes; Discrete Fourier transforms; Discrete transforms; Galois fields;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708898
