On the nonlinear codes, obtained from the Hamming code by switchings of ijk-components, as partially robust codes

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.