Design and Analysis of Encoder and Decoder for Golay Code

Conference: Recent Trends in Information Processing, Computing, Electrical and Electronics
Author(s): Shivam Kumar Gupta, Hariom Solanki Year: 2017
Grenze ID: 02.IPCEE.2017.1.28 Page: 160-168

Abstract

A binary Golay code is a type of linear error correcting code used in digital communications. The two binary\nGolay codes formats are the Binary Golay Code G23 and Extended Binary Golay code (G24). The Golay code encodes\n12-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\nPerfect Binary Golay Code. In standard code notation the codes have parameters [24, 12, 8] and [23, 12, 7], corresponding\nto the length of the codeword, the dimension of the code, and the minimum hamming distance between two codeword.\nAn efficient implementation in the area of FPGA by using both Golay code (G23) and extended Golay code G(24) can\nbe done by the help of different approaches of the encoding algorithm realizations. High speed with low-latency and\nless complexity in the design is the major concern at the time of working on FPGA. This paper presents a brief of Field\nProgrammable Gate Array (FPGA) based design and simulation of Golay Code (G23) and Extended Golay Code (G24).

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