Information on Result #2254038
Linear OA(984, 59067, F9, 18) (dual of [59067, 58983, 19]-code), using 1 times truncation based on linear OA(985, 59068, F9, 19) (dual of [59068, 58983, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] 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(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(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,9)), 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(984, 59067, F9, 2, 18) (dual of [(59067, 2), 118050, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(984, 59067, F9, 3, 18) (dual of [(59067, 3), 177117, 19]-NRT-code) | [i] | ||
| 3 | Digital (66, 84, 59067)-net over F9 | [i] | ||
| 4 | Linear OOA(984, 29533, F9, 2, 18) (dual of [(29533, 2), 58982, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(984, 19689, F9, 3, 18) (dual of [(19689, 3), 58983, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(984, 6563, F9, 18, 18) (dual of [(6563, 18), 118050, 19]-NRT-code) | [i] | OA Folding and Stacking | |