Information on Result #2284117
Linear OA(987, 59055, F9, 20) (dual of [59055, 58968, 21]-code), using 1 times code embedding in larger space based on linear OA(986, 59054, F9, 20) (dual of [59054, 58968, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 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(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(987, 34203, F9, 2, 20) (dual of [(34203, 2), 68319, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(987, 34203, F9, 3, 20) (dual of [(34203, 3), 102522, 21]-NRT-code) | [i] | ||
| 3 | Digital (67, 87, 34203)-net over F9 | [i] | ||
| 4 | Linear OOA(987, 19685, F9, 3, 20) (dual of [(19685, 3), 58968, 21]-NRT-code) | [i] | OOA Folding | |