Abstract: A method and a system of multidimensional encoding and/or decoding to be processed by a computer or a digital hardware system. The method utilizes an error correcting code which is chosen from the group comprising RS, BCH, BCH algebraic, RM (Reed-Muller), among others. The method is carried out by the steps of attribution of a dimension for each bit in the symbols set of a message, with symbols with at least two bits, so the error correcting code will be performed over the dimensions and not over the symbols; grouping of the dimensions in the same position of the origin symbols in a new symbol, so the symbols will be treated as symbols in both stages of the code, in that the error correcting code is performed in every dimension; and processing of each dimension in parallel or in an independent manner, using an error correcting code.

Abstract: The present discloses a method for detection and correction of errors, based on the proposition of multidimensional error correcting code, presenting the first example of implementation of MECC called BCHMD, that employ the BCH or BCH algebraic in each dimension of the set of symbols in the encoder and decoder sides of the communication system, in the error correcting code stage. Especially the described method claimed by the present invention embraces bits in different dimensions, which improves performance, speed and capacity in the ECC.