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    • 45. 发明公开
    • Error correcting code
    • Fehlerkorrekturkode
    • EP1681770A1
    • 2006-07-19
    • EP05100265.7
    • 2005-01-18
    • Koninklijke Philips Electronics N.V.
    • The designation of the inventor has not yet been filed
    • H03M13/00H03M13/49
    • H03M13/134G06F11/1008G06F11/108H03M13/19H03M13/49
    • A system 100 for protecting a codeword u against an error in at least one q -ary symbol, where q is an r th of two, r ≥ 1 ( q = 2 r ). 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 {0,...,2 w -1}, 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 [1]• u [1] +...+ a [ k -1]• u [ k -1])mod M , where the multiplication • and the addition + are integer operations. The constants a [0],..., a [ k -1] lie in {0,..., M -1}, M ≥ 1 and are chosen such that the elements a [ i ] •d•q j mod M are unique for i ∈ {0,..., k -1}, j ∈{0,..., n -1}, -q d q,d ≠ 0.
    • 一种用于保护码字u抵抗至少一个q符号符号中的错误的系统100,其中q是r的两个,r‰¥1(q = 2 r)。 代码字u 300包括信息符号310 u [0],...,u [k -1],k> 1,每个信息符号表示范围{0,...,2 w -1}中的整数 其中w = n * r,n‰¥1.处理器130包括整数处理单元140,用于在程序控制下,计算用于保护信息符号的奇偶校验符号312 u [k],其中奇偶校验符号包括 - (a [0]¢u [0] + a [1]¢u [1] + ... + a [k -1]¢u [k -1])mod M,其中乘法€ ¢和加法+是整数运算。 常数a [0],...,a [k -1]在{0,...,M -1},M‰¥1中,被选择为使得元素a [i]€ ¢qj mod M对于i {0,...,k -1},j {0,...,n-1},-q