METHOD AND DECODER FOR DETERMINING AN ERROR VECTOR FOR A DATA WORD ACCORDING TO A REED-MULLER CODE

摘要

A method for determining an error vector for a data word according to a Reed-Muller Code includes determining the syndrome of the error vector according to the Reed-Muller Code, expanding the syndrome with zeroes to 1 bit length less than the length of the Reed-Muller Code, determining a code word of a Simplex Code of 1 bit length less than the length of the Reed-Muller Code whose difference to the expanded syndrome has a weight below a first threshold or equal to or above a second threshold, expanding the difference between the determined code word and the expanded syndrome by a zero, and outputting the expanded difference as error vector if its weight is below the first threshold or outputting the inverted expanded difference as error vector if the weight of the expanded difference is equal to or above the second threshold.

主权项

1. A method for determining an error vector for a data word according to a Reed-Muller Code, the method comprising:
determining the syndrome of the error vector according to the Reed-Muller Code; expanding the syndrome with zeroes to 1 bit length less than the length of the Reed-Muller Code; determining a code word of a Simplex Code of 1 bit length less than the length of the Reed-Muller Code whose difference to the expanded syndrome has a weight below a first threshold or equal to or above a second threshold; expanding the difference between the determined code word and the expanded syndrome by a zero; and outputting the expanded difference as error vector if its weight is below the first threshold or outputting the inverted expanded difference as error vector if the weight of the expanded difference is equal to or above the second threshold.