Berklekamp‐Massey Algorithm in Reed Solomon Error Detection Technique for Smart Grid Applications

P. Cladien, Rayapudi Chandrika, R. PriyaDharshini, V. Berlin Hency, O.V. Gnana Swathika · 2025

The basic goal of electronic devices is to deliver minimal power dissipation and fast speed in compact footprint. Error-correcting codes are deployed extensively in significant digital applications which in turn prove to be very reliable in nature. Reed Solomon codes have proven to be very powerful and promising error correction codes that have proven their vast application in the field of communications and technologies of storage. They are also extensively used as error correcting algorithms in wireless sensor networks in smart grids. The literature has many numbers of algorithm and arithmetic operations. This paper proposes a new method for calculating its error locator polynomial in the Reed Solomon decoder's key equation solver block. The arithmetic operations which are used in the Berlekamp-Massey algorithm are using Galois field addition and multiplication. The existing method consists of parallel adders in the KES block to calculate the error polynomial. When compared with the existing work, this method consumes less power. The proposed work is implemented using Xilinx 14.7.

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