Information on Result #719034
Linear OA(948, 757, F9, 15) (dual of [757, 709, 16]-code), using construction XX applied to C1 = C([79,91]), C2 = C([85,93]), C3 = C1 + C2 = C([85,91]), and C∩ = C1 ∩ C2 = C([79,93]) based on
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {79,80,…,91}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(925, 728, F9, 9) (dual of [728, 703, 10]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {85,86,…,93}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {79,80,…,93}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(919, 728, F9, 7) (dual of [728, 709, 8]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {85,86,…,91}, and designed minimum distance d ≥ |I|+1 = 8 [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(948, 378, F9, 2, 15) (dual of [(378, 2), 708, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(948, 252, F9, 3, 15) (dual of [(252, 3), 708, 16]-NRT-code) | [i] | ||