Information on Result #718912
Linear OA(939, 757, F9, 12) (dual of [757, 718, 13]-code), using construction XX applied to C1 = C([82,91]), C2 = C([88,93]), C3 = C1 + C2 = C([88,91]), and C∩ = C1 ∩ C2 = C([82,93]) based on
- linear OA(925, 728, F9, 10) (dual of [728, 703, 11]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,91}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(916, 728, F9, 6) (dual of [728, 712, 7]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {88,89,…,93}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,93}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(910, 728, F9, 4) (dual of [728, 718, 5]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {88,89,90,91}, and designed minimum distance d ≥ |I|+1 = 5 [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(939, 378, F9, 2, 12) (dual of [(378, 2), 717, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(939, 252, F9, 3, 12) (dual of [(252, 3), 717, 13]-NRT-code) | [i] | ||