Information on Result #719885
Linear OA(990, 757, F9, 31) (dual of [757, 667, 32]-code), using construction XX applied to C1 = C([63,91]), C2 = C([69,93]), C3 = C1 + C2 = C([69,91]), and C∩ = C1 ∩ C2 = C([63,93]) based on
- 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 = {63,64,…,91}, and designed minimum distance d ≥ |I|+1 = 30 [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 = {69,70,…,93}, 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 = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [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 = {69,70,…,91}, and designed minimum distance d ≥ |I|+1 = 24 [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(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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(990, 378, F9, 2, 31) (dual of [(378, 2), 666, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(990, 252, F9, 3, 31) (dual of [(252, 3), 666, 32]-NRT-code) | [i] | ||