Information on Result #719859
Linear OA(980, 744, F9, 29) (dual of [744, 664, 30]-code), using construction XX applied to C1 = C([64,91]), C2 = C([68,92]), C3 = C1 + C2 = C([68,91]), and C∩ = C1 ∩ C2 = C([64,92]) based on
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,91}, and designed minimum distance d ≥ |I|+1 = 29 [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(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 = {64,65,…,92}, and designed minimum distance d ≥ |I|+1 = 30 [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(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), 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(980, 372, F9, 2, 29) (dual of [(372, 2), 664, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(980, 248, F9, 3, 29) (dual of [(248, 3), 664, 30]-NRT-code) | [i] | ||