Correcting adjacent errors using permutation code trees

Permutation codes are M-ary codes which can be used, in combination with M-ary FSK, to correct errors in Power Line Communications (PLC). It has been shown in [1] that permutation code trees can be used to correct a single substitution or synchronization error per codeword, without the use of markers. In this paper, we show that, due to the structure of the permutation code tree, adjacent errors can also be corrected if the codebook is adapted.