Information on Result #689375
Linear OA(988, 59059, F9, 20) (dual of [59059, 58971, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) 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(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(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
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(988, 38645, F9, 2, 20) (dual of [(38645, 2), 77202, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(988, 38645, F9, 3, 20) (dual of [(38645, 3), 115847, 21]-NRT-code) | [i] | ||
| 3 | Digital (68, 88, 38645)-net over F9 | [i] | ||
| 4 | Linear OOA(988, 29529, F9, 2, 20) (dual of [(29529, 2), 58970, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(988, 19686, F9, 3, 20) (dual of [(19686, 3), 58970, 21]-NRT-code) | [i] | ||