Information on Result #719786
Linear OA(990, 772, F9, 29) (dual of [772, 682, 30]-code), using construction XX applied to C1 = C([78,100]), C2 = C([72,94]), C3 = C1 + C2 = C([78,94]), and C∩ = C1 ∩ C2 = C([72,100]) based on
- linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,100}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,94}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,100}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,94}, and designed minimum distance d ≥ |I|+1 = 18 [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(990, 386, F9, 2, 29) (dual of [(386, 2), 682, 30]-NRT-code) | [i] | OOA Folding | |