Information on Result #851653
Linear OOA(9101, 29527, F9, 2, 23) (dual of [(29527, 2), 58953, 24]-NRT-code), using OOA 2-folding based on linear OA(9101, 59054, F9, 23) (dual of [59054, 58953, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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
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(9115, 29555, F9, 2, 23) (dual of [(29555, 2), 58995, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9116, 29557, F9, 2, 23) (dual of [(29557, 2), 58998, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(9117, 29559, F9, 2, 23) (dual of [(29559, 2), 59001, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(9118, 29561, F9, 2, 23) (dual of [(29561, 2), 59004, 24]-NRT-code) | [i] | ||