Product encoding in residue number systems allows construction of a class of non-linear arithmetic error correcting codes. The properties of these codes are further investigated and the redundancy necessary and sufficient to ensure multiple error correction is determined. An error correcting procedure holding for codes using the minimal redundancy is presented. An error correcting approach based upon the euclidean algorithm is also reconsidered and it is shown that its redundancy requirements are lower than previously known.
A class of multiple error correcting product codes
1976
Abstract
Product encoding in residue number systems allows construction of a class of non-linear arithmetic error correcting codes. The properties of these codes are further investigated and the redundancy necessary and sufficient to ensure multiple error correction is determined. An error correcting procedure holding for codes using the minimal redundancy is presented. An error correcting approach based upon the euclidean algorithm is also reconsidered and it is shown that its redundancy requirements are lower than previously known.File in questo prodotto:
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Descrizione: A class of multiple error correcting product codes
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