On the nonlinear codes, obtained from the Hamming code by switchings of ijk-components, as partially robust codes
On the nonlinear codes, obtained from the Hamming code by switchings of $ijk$-components, as partially robust codes
Siberian Electronic Mathematical Reports, 21, 2, 897-913 (2024)
Abstract:
In the paper, the partially robustness of nonlinear codes, obtained from the Hamming code by the known switching method of $ijk$-components, is proven. Such codes have less undetectable (miscorrected) errors than traditional linear error-correcting codes of the same length, which is a great advantage for modern technologies when multiple and repeating errors are common. An error detection and correction algorithm for this construction is presented.
Keywords: the Hamming code, $ijk$-component, partially robust code, error detection, error correction