Codigos ciclicos sobre aneis locais e suas relações com a transformada discreta de Fourier / Cyclics codes on local rings and its relations with the discrete transformed of Fourier
AUTOR(ES)
Ingrid Araujo Sampaio
DATA DE PUBLICAÇÃO
2007
RESUMO
In this research we present some existing relationships between cyclic codes and discrete Fourier transform both local rings. For this, it is necessary to identify the groups of unit associated with each corresponding local ring. As a consequence, cyclic codes over these rings may be constructed. Next, we construct sequence generators by use of linear feedback shift register (LFSR), from generator polynomials whose coefficients belong either to finite field or to a local finite commutative ring with identity. Finally, the discrete Fourier transform is realized by use of the generator polynomial of cyclic codes over local rings
ASSUNTO(S)
aneis locais teoria de theory of codification transformações de extension galois teoria da codificação discrete transformed of fourier fourier galois local rings
