Integer codes correcting single errors and burst asymmetric errors within a byte

In this paper we present a class of integer codes that are suitable for use in optical networks without optical amplifiers. The presented codes can correct all single errors and all burst asymmetric errors within a b-bit byte. Compared to other classes of integer codes, these codes have two advantages: first, they are less demanding in terms of memory needs, and second, they have higher code rates. Thanks to these features, the proposed codes are faster to decode, and thus simpler to implement.