Integer codes correcting burst errors within one byte and single errors within two bytes

Abstract

This paper presents a class of integer codes that are suitable for use in various optical networks. The presented codes are generated with the help of a computer and have the ability to correct l-bit burst errors corrupting one b-bit byte (1 ≤ l < b) and single errors corrupting two b-bit bytes. To evaluate the performance of the presented codes, we analyze their probabilities of incorrect decoding for two types of channels. In addition, the paper shows that the proposed codes can be interleaved without using an interleaver, which allows the decoder to correct all l-bit burst errors as well as many random errors.