Information on Result #689409
Linear OA(990, 59068, F9, 20) (dual of [59068, 58978, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) 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(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(990, 49334, F9, 2, 20) (dual of [(49334, 2), 98578, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(990, 49334, F9, 3, 20) (dual of [(49334, 3), 147912, 21]-NRT-code) | [i] | ||
| 3 | Digital (70, 90, 49334)-net over F9 | [i] | ||
| 4 | Linear OOA(990, 29534, F9, 2, 20) (dual of [(29534, 2), 58978, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(990, 19689, F9, 3, 20) (dual of [(19689, 3), 58977, 21]-NRT-code) | [i] | ||