Information on Result #719219
Linear OA(963, 772, F9, 19) (dual of [772, 709, 20]-code), using construction XX applied to C1 = C([88,100]), C2 = C([82,94]), C3 = C1 + C2 = C([88,94]), and C∩ = C1 ∩ C2 = C([82,100]) based on
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {88,89,…,100}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,94}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,100}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(919, 728, F9, 7) (dual of [728, 709, 8]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {88,89,…,94}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code) (see above)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(963, 386, F9, 2, 19) (dual of [(386, 2), 709, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(963, 257, F9, 3, 19) (dual of [(257, 3), 708, 20]-NRT-code) | [i] | ||