Information on Result #718508
Linear OA(995, 107, F9, 70) (dual of [107, 12, 71]-code), using construction X applied to C([44,22]) ⊂ C([45,13]) based on
- linear OA(985, 91, F9, 70) (dual of [91, 6, 71]-code), using the BCH-code C(I) with length 91 | 93−1, defining interval I = {44,45,…,22}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(979, 91, F9, 60) (dual of [91, 12, 61]-code), using the BCH-code C(I) with length 91 | 93−1, defining interval I = {45,46,…,13}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(910, 16, F9, 9) (dual of [16, 6, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(993, 105, F9, 68) (dual of [105, 12, 69]-code) | [i] | Truncation | |