The new contribution of the thesis: determine the nature of the cmg: order of binomial on the dpr; build and define the order of cmg area by construction through cmg component; prove the lcc built from a layer adjacent to xyclic on the dpr is the code xyclic; determine the nature of the xyclic code on a polynomial ring class Special: Mersenne Ring. With the properties have been built to set and search code dc code lcc on the dpr
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