An Efficient Semi-Algebraic Decoding Algorithm for Golay Code

In this paper, we propose an algorithm for decoding the QR(23,12,7) code knowing by the binary Golay code. This method never calculates unknown syndromes and does not need the error locator polynomial. Indeed, we use simple parameters to locate the error position. So, to validate the proposed method, all possible error patterns are tested and the proposed decoder correct all of them.