Information on Result #690828
Linear OA(973, 97, F9, 49) (dual of [97, 24, 50]-code), using construction X applied to C([1,99]) ⊂ C([1,81]) based on
- linear OA(964, 80, F9, 49) (dual of [80, 16, 50]-code), using contraction [i] based on linear OA(9144, 160, F9, 99) (dual of [160, 16, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using contraction [i] based on linear OA(9136, 160, F9, 81) (dual of [160, 24, 82]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [i]
- linear OA(99, 17, F9, 8) (dual of [17, 8, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-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 OOA(973, 48, F9, 2, 49) (dual of [(48, 2), 23, 50]-NRT-code) | [i] | OOA Folding | |