1. A method for reconstructing a first vector from a second vector, the method comprising: storing, according to a matrix representation of the first vector, code information for the row vectors according to a first code; storing, according to the matrix representation of the first vector, code information for the column vectors according to a second code; correcting the row vectors of a matrix representation of the second vector corresponding to the matrix representation of the first vector so that the row vectors of the second vector have the same code information according to the first code as the row vectors of the first vector; calculating the code information of the column vectors of the matrix representation of the second vector according to the second code; comparing the code information of the column vectors of the second vector with the code information of the column vectors of the first vector; identifying, on the basis of the result of the comparison, the columns of the matrix representation in which the first vector is not equal to the second vector; identifying, using the errors in the columns correctable by means of the second code, the rows of the matrix representation in which the first vector is not equal to the second vector; identifying, using the identified columns and the identified rows, the components in which the first vector is not equal to the second vector; and correcting the identified components of the second vector.