| 摘要 |
PURPOSE:To decrease number of arithmetic circuits by using a BCH code so as to calculate the syndrome and applying the calculation of conversion to each coefficient only in the calculation of a conversion equation such as A(x) in obtaining an error location polynomial or the like. CONSTITUTION:The number of arithmetic operations to calculate conversion equations of A(x), L(x), B(x) and M(x) at once is respectively multiplications of (degB+1) times, (2t-degA+1) times, (degA+1) times and (2t-degB+1) times (t is the maximum number of correctable errors for the code) and additions of the same number of times respectively. The largest number of times of the arithmetic operations is 4t<2>+3t times for both the multiplication and the addition. In this invention, since only each coefficient is subject to conversion calculation in the equations, the total number of times of arithmetic operations obtained for the largest number of times is reduced from 18t<2>+6 in a conventional number into 8t<2>+6t times. Thus, an inexpensive exclusive processor with a fast operating time is used.
|
