Received word decoding method for e.g. computer system, involves determining values, for each aggregate of common component, by resolving system of equations, and obtaining vector by decoding another vector based on Reed-Solomon code

摘要

#CMT# #/CMT# The method involves determining values, for each aggregate of common component obtained by partitioning a set of locations, by resolving a system of equations. A vector is obtained by decoding another vector according to a Reed-Solomon code constructed over the set of locations formed of common components. Code word components associated to a received word are determined. #CMT# : #/CMT# Independent claims are also included for the following: (1) a received word decoding device (2) a decoder comprising a decoding device (3) a coded digital signal receiving apparatus including a decoder (4) a computer system comprising a decoder (5) a removable data storage unit comprising computer program code instructions for executing a received word decoding method (6) a computer program comprising instructions that make a data processing device to implement a received word decoding method. #CMT#USE : #/CMT# Used in a decoder of a coded digital signal receiving apparatus and of a computer system for decoding a received word coded according to an algebraic geometric code (claimed). #CMT#ADVANTAGE : #/CMT# The resolution of the system of equations permits to restore the decoding of an algebraic geometric code with the decoding of a set of Reed-Solomon codes at a reduced calculation cost. #CMT#DESCRIPTION OF DRAWINGS : #/CMT# The drawing shows the steps of a received word decoding method. `(Drawing contains non-English language text)`.