Information on Result #719888
Linear OA(996, 772, F9, 31) (dual of [772, 676, 32]-code), using construction XX applied to C1 = C([76,100]), C2 = C([70,94]), C3 = C1 + C2 = C([76,94]), and C∩ = C1 ∩ C2 = C([70,100]) based on
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,100}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,94}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,100}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(952, 728, F9, 19) (dual of [728, 676, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,94}, and designed minimum distance d ≥ |I|+1 = 20 [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(996, 386, F9, 2, 31) (dual of [(386, 2), 676, 32]-NRT-code) | [i] | OOA Folding | |