Provided is a decoding method for detecting Physical Layer Signaling Codes (PLSCs) from frames of a satellite broadcasting system. The method includes: a) acquiring a summation vector and a subtraction vector from an inputted symbol vector; b) performing parallel Reed-Muller (32,6) decoding onto the summation and subtraction vectors based on a Hadamard matrix and estimating message bits of the summation and subtraction vectors; c) performing PLSC coding and modulation onto the message bits of the summation and subtraction vectors; d) calculating a first difference between symbols of the received symbol vector and the summation vector symbols, and a second difference between the symbols of the received symbol vector and the subtraction vector symbols; and e) when the first difference is smaller than the second difference, determining a Reed-Muller codeword is repeated, or when the first difference is larger than the second difference, determining that the Reed-Muller codeword is inverted.