| 摘要 |
<p>A system 100 for protecting a codeword u against an error in at least one <7-ary symbol, where q is an r? of two, r = 1 (q = T ). The code word u 300 includes information symbols 310 u[0] , ... , u[k - 1] , k > 1 , each information symbol representing an integer in the range {?,..., 2w -l}, where w = n* r,n = 1 . A processor 130 includes an integer processing unit 140 for, under control of a program, calculating a parity symbol 312 u[k] for protecting the information symbols, where the parity symbol includes -(a[0]«u[0] + a[l]«u[l] + ... + a[k - l]*u[k - 1]) modM , where the multiplication and the addition + are integer operations. The constants a[0],...,a[£ -l] lie in {0, ... , M - 1} , M = 1 and are chosen such that the elements a[i]*d*qJ modM are unique for ie {0,...,k -l} , j e {0, ...,n -l} , -q < d < q,d ? 0.</p> |
