A simple deterministic algorithm to construct a normal basis of GF(q/sup n/) over GF(q) (q=p/sup r/, p prime) is given. When p=2, the authors deduce a (self complementary normal-SCN) basis of GF(q/sup n/) over GF(q) for n odd, or n=2t, t odd. In characteristic 2 these cases are known to be the only possible ones for which there exists an SCN basis.>

Data transmission simulation, protected by error correcting code, through noisy channel, is one of A.A.E.C.C. principal research axis. We present two parts of an application of our works ; befor that, we present some recalls of error correcting codes 'theory. a) The hardware part. Automaton DOLVRON-1, completely elaborated in A.A.E.C.C. Lab, is placed below a video cine-camera and above three video monitors. DOLVRON-1 realizes the visalisation, in real time, of three pictures : the initial one, the noisy one, and the picture restaured after protection, jamming and decoding. b) The software part. SITIN-1 is a powerfull soft. It simulates digital pictures transmission protected by Fires'codes, through noisy channel. SITIN-2 (second generation) simulates a condensed Braille transmission by satellite TELECOM-1.