finite fields info

*To*: mathgroup at smc.vnet.net*Subject*: [mg5854] finite fields info*From*: stanica at acsu.buffalo.edu (Pantelimon Stanica)*Date*: Sun, 2 Feb 1997 01:30:21 -0500*Organization*: UB*Sender*: owner-wri-mathgroup at wolfram.com

Hello, everyone! I would like to compute the function f(x)=Trace(x^(15)) defined on an extension of degree 8 of a field of char=2, i.e. Z_2. The field of degree 8 could be defined by the polynomial x^8+x^6+x^5+x^4+1 over Z_2. I would like to write the function as a string of 0,1. Can anyone help? I would appreciate any input. P. Stanica -- anon