| 主权项 |
1. A syndrome generator for forming an error syndrome of a linear code C of length n with an H-matrix H=(h1, . . . , hn) of n columns h1, . . . , hn of m components each such that the H-matrix is an (m, n)-matrix, wherein a codeword v=v1, . . . , vn of the code C comprises a first subword x1, . . . , xk+m of length k+m and a second subword a1, . . . , al of length l with n=k+m+l,wherein the code C is configured for correcting 1, . . . , t-bit errors in bits of the first subword and to detect 1, . . . , l bit errors in bits of the second subword so that the columns of the H-matrix H corresponding to the bits of the first subword are forming a first (m, k+m)-sub-matrix Hx=(h1x, . . . , hk+mx) and so that the columns of the H-matrix H corresponding to the bits of the second subword are forming a second sub-matrix Ha=(h1a, . . . , hla),wherein all linear combinations of up to t columns of the first submatrix Hx, which do not result in the zero vector, are pairwise different, andwherein all linear combinations of the columns of the second submatrix Ha are different from all linear combinations of up to t columns of the first sub-matrix Hx, which do not result in the zero vector,wherein t≧1, k>0, k+m≧4, and l>t+1, andwherein the syndrome generator is implemented using digital hardware or a computer or a combination of a computer and digital hardware. |
