Abstract: A method for performing an iterative n-dimensional decoding of a data structure comprising a data bit frame. The method includes receiving possibly errored data; computing syndromes in all the n dimensions in a single step; storing the first calculated syndromes; processing syndromes in a first dimension; correcting errors; and updating the syndromes which have been affected by the correction in the first dimension; and processing syndromes in all the possible dimensions up to the n-th one and, for each of the processed syndromes, correcting errors and updating the syndromes in all the dimensions which have been affected by the correction. The time required by each sub-iteration (from second sub-iteration on) will be progressively reduced. The number of iterations is increased without increasing the delay and processing complexity.

Abstract: Disclosed is a method for performing an iterative n-dimensional decoding of a data structure comprising a data bit frame. The method comprises the steps of: receiving possibly errored data; computing syndromes in all the n dimensions in a single step; storing the first calculated syndromes; processing syndromes in a first dimension; correcting errors; and updating the syndromes which have been affected by the correction in said first dimension; and processing syndromes in all the possible dimensions up to the n-th one and, for each of the processed syndromes, correcting errors and updating the syndromes in all the dimensions which have been affected by the correction. The time required by each sub-iteration (from second sub-iteration on) will be progressively reduced. The number of iterations is increased without increasing the delay and processing complexity. Processing complexity is reduced because only one circuit is used for processing the syndromes in all the dimensions and for all the iterations.

Abstract: A method is described for changing the order of bytes of digital signals transmitted in frames according to a cyclic rotation of the bytes and for changing the frame format. This method can advantageously be used in concatenated coding scheme to achieve the best trade off between coding gain and line bit rate.