Information on Result #984713
Linear OOA(966, 19684, F9, 3, 15) (dual of [(19684, 3), 58986, 16]-NRT-code), using OOA 3-folding based on linear OA(966, 59052, F9, 15) (dual of [59052, 58986, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(966, 59054, F9, 15) (dual of [59054, 58988, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 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
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
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(973, 19694, F9, 3, 15) (dual of [(19694, 3), 59009, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(974, 19700, F9, 3, 15) (dual of [(19700, 3), 59026, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(975, 19704, F9, 3, 15) (dual of [(19704, 3), 59037, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(976, 19712, F9, 3, 15) (dual of [(19712, 3), 59060, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(977, 19714, F9, 3, 15) (dual of [(19714, 3), 59065, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(978, 19716, F9, 3, 15) (dual of [(19716, 3), 59070, 16]-NRT-code) | [i] | ||
| 7 | OOA(978, 19722, S9, 3, 15) | [i] | ||