Information on Result #719869
Linear OA(989, 753, F9, 31) (dual of [753, 664, 32]-code), using construction XX applied to C1 = C([62,91]), C2 = C([68,92]), C3 = C1 + C2 = C([68,91]), and C∩ = C1 ∩ C2 = C([62,92]) based on
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,91}, and designed minimum distance d ≥ |I|+1 = 31 [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 = {68,69,…,92}, 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 = {62,63,…,92}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {68,69,…,91}, and designed minimum distance d ≥ |I|+1 = 25 [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(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(989, 376, F9, 2, 31) (dual of [(376, 2), 663, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(989, 251, F9, 3, 31) (dual of [(251, 3), 664, 32]-NRT-code) | [i] | ||