New Design of Error Control Codes Resilient to Single Burst Error or Two Random Bit Errors Using Constacyclic Codes

In this paper, we introduce a new design method of burst error control codes (BECCs), which can correct single burst error or two random bit errors by using the maximum likelihood syndrome decoder (MLSD), where the proposed BECCs are designed by a modification of the well-known Fire codes using constacyclic codes. Also, for the existing low-latency burst error-correcting decoder, it is shown that the proposed BECCs have the single burst error correction capability together with two random bit error detection capability with no additional parity bits and comparable complexity with the existing BECCs. For this, the complexity and latency is numerically analyzed by register-transfer level (RTL) synthesis.