| 摘要 |
The invention relates to processing data for encoding and decoding a message (mj) transmitted through a communication channel having adjacent information (x) known during the encoding, the encoding method comprising the construction of a surjective correcting code produced from a characterization of the adjacent information in a system of spherical coordinates. Said method comprises the steps of: a) determining a spherical information vector (t) characterizing the adjacent information in the system of spherical coordinates, the spherical information vector (t) having a size n, where n is a positive integer; b) constructing a surjective correcting code by using the spherical information vector (t) and by carrying out a quantification operation comprising: i) determining a quantification interval (d) on the basis of a number (q) of code words (uj,i) to be associated with a message (mj), the quantification interval (d) being equal to 2p / q1/(n-1), where q is the number of code words (uj,i) to be associated with a message (mj); and ii) determining, from the quantification interval (d), a set of code words (uj,i) distributed over the surface of a hypersphere, the center of which is 0 and a radius of which is equal to the value of a given component (t[n]) of the spherical information vector (t); and c) encoding the message (mj) using the surjective correcting code. |
