Istituto di Scienza e Tecnologie dell'Informazione     
Barsi F., Pinotti M. C. Error control by product codes in arithmetic units. Technical report, 2009.
AN (or product) codes constructed in a weighted number system are investigated, and necessary and sufficient conditions on the code generator A are given to detect single and double errors. As far as binary systems are considered, the smallest generators A that can be used to build 2-detecting arithmetic AN codes are given, for practical implementations, as a function of the number of bits. Moreover, a simple and fast procedure to correct single error is proposed.
Subject Arithmetics codes
AN codes
Weighted AN codes
Error detection and correction
Syndrome decoding
G.2.0 Discrete Mathematics. General

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