A Review of design of Binary Golay Code and Extended Binary Golay Code for error correction

Mayanka Rai, Hema Singh
2018 International Journal of Trend in Scientific Research and Development  
A binary Golay code is a type of linear errorcorrecting code used in digital communications. The two binary Golay codes formats are the Binary Golay Code (23-bit, G23) and Extended Binary Golay code (24-bit, G24). The Golay code encodes 12-bits of data in such a way that it can correct 3-bits of error and detect 7-bits of error. G24 code is also called the Perfect Binary Golay Code. In standard code notation the codes have parameters [24, 12, 8] and [23, 12, 7] , corresponding to the length of
more » ... he codeword, the dimension of the code, and the minimum hamming distance between two codeword. An efficient implementation in the area of FPGA by using both Golay code (G23) and extended Golay code G(24) can be done by the help of different approaches of the encoding algorithm realizations. High speed with low-latency and less complexity in the design is the major concern at the time of working on FPGA. This paper presents a review on the various works performed by scholars on the design and implementation of Golay Code (G23 and G24).
doi:10.31142/ijtsrd11426 fatcat:d4h2ntcojfbnnhnuxdvr4ernea