The self-checking digital devices synthesis based on weight-based sum code, which check symbols are described by self-dual Boolean functions
Journal: Vestnik Tomskogo gosudarstvennogo universiteta Upravlenie vychislitel naya tekhnika i informatika
Year: 2024

The proposed article considers sum code in a residue ring over a given modulo M of the data vector weighted bits. Test symbols are described by self-dual Boolean functions. It is proven that such codes can be constructed only under the condition M  {2, 4, 8, …} for certain arrays of weighting coefficients. The division into special classes of the weight-based sum code special case in the residue ring modulo M=4 is given. Cases with the number of data bits m=4 are considered. It has been determi