Information on Result #985160
Linear OOA(991, 19684, F9, 3, 21) (dual of [(19684, 3), 58961, 22]-NRT-code), using OOA 3-folding based on linear OA(991, 59052, F9, 21) (dual of [59052, 58961, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [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(9102, 19700, F9, 3, 21) (dual of [(19700, 3), 58998, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9103, 19704, F9, 3, 21) (dual of [(19704, 3), 59009, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(9104, 19712, F9, 3, 21) (dual of [(19712, 3), 59032, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(9105, 19714, F9, 3, 21) (dual of [(19714, 3), 59037, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(9106, 19716, F9, 3, 21) (dual of [(19716, 3), 59042, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(9107, 19718, F9, 3, 21) (dual of [(19718, 3), 59047, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(9108, 19720, F9, 3, 21) (dual of [(19720, 3), 59052, 22]-NRT-code) | [i] | ||
| 8 | OOA(9108, 19722, S9, 3, 21) | [i] | ||