Istituto di Scienza e Tecnologie dell'Informazione     
Barsi F., Maestrini P. Arithmetic Codes in Residue Number Systems. In: Digital Processes, (4) pp. 121 - 135. Georgi Publishing Company, 1978.
Residue number systems provide a means of constructing non-binary, multiple error correcting, arithmetic codes. A lower bound to redundancy allowing t-error correction in these codes is reported. It is shown that this bound is reached by two classes of codes, whose properties are discusses in detail. In both cases, error correction is performed by finding appropriate solutions to a key congruence, identical for both classes. Two different decoding algorithms and examples are reported.
Subject decoding algorithm
Arithmetic codes
Error correction

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