Information on Result #689422
Linear OA(950, 59068, F9, 11) (dual of [59068, 59018, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(950, 59068, F9, 2, 11) (dual of [(59068, 2), 118086, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(950, 59068, F9, 3, 11) (dual of [(59068, 3), 177154, 12]-NRT-code) | [i] | ||
| 3 | Digital (39, 50, 59068)-net over F9 | [i] | ||
| 4 | Linear OOA(950, 29534, F9, 2, 11) (dual of [(29534, 2), 59018, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(950, 19689, F9, 3, 11) (dual of [(19689, 3), 59017, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(950, 11813, F9, 11, 11) (dual of [(11813, 11), 129893, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |