Integer Codes Correcting High-Density Byte Asymmetric Errors

In optical networks without optical amplifiers, the number of received photons never exceeds the number of sent ones. Hence, upon transmission, only asymmetric (1 → 0) errors can occur. Motivated by this fact, in this letter, we present a class of integer codes capable of correcting high-density asymmetric errors within a b-bit byte. Unlike classical codes, these codes use integer and lookup table operations. As a result, they can be implemented “for free,” i.e., without modifying the network hardware.