Information on Result #689346
Linear OA(982, 59055, F9, 19) (dual of [59055, 58973, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) based on
- 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(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 6, F9, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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 OA(981, 59054, F9, 18) (dual of [59054, 58973, 19]-code) | [i] | Truncation | |
| 2 | Linear OOA(982, 31580, F9, 2, 19) (dual of [(31580, 2), 63078, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(982, 31580, F9, 3, 19) (dual of [(31580, 3), 94658, 20]-NRT-code) | [i] | ||
| 4 | Digital (63, 82, 31580)-net over F9 | [i] | ||
| 5 | Linear OOA(982, 29527, F9, 2, 19) (dual of [(29527, 2), 58972, 20]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(982, 19685, F9, 3, 19) (dual of [(19685, 3), 58973, 20]-NRT-code) | [i] | ||