Polynomial Code with Detecting the Symmetric and Asymmetric Errors in the Data Vectors

Paper contains results of researches in polynomial codes field at error detecting in data vectors. The authors established previously unknown polynomial codes properties, which consideration is expedient when organizing systems with fault detection. A separable binary codes qualitative classification is given, it is shown that special code classes can be distinguished that are focused on the certain types errors detection arising in the data vectors (unidirectional, symmetric or asymmetric). Examples of codes included in each special codes class, as well as methods for their use in the automation and computing systems construction, are given. The generator polynomial types that allow detecting all symmetric and asymmetric errors in the polynomial code data vectors are established. Some experimental studies result with a combinational circuits benchmarks LGSynth'89 set, confirming the results of theoretical studies are given.

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