Information on Result #689388
Linear OA(943, 59059, F9, 10) (dual of [59059, 59016, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(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(943, 48121, F9, 2, 10) (dual of [(48121, 2), 96199, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(943, 48121, F9, 3, 10) (dual of [(48121, 3), 144320, 11]-NRT-code) | [i] | ||
| 3 | Digital (33, 43, 48121)-net over F9 | [i] | ||
| 4 | Linear OOA(943, 29529, F9, 2, 10) (dual of [(29529, 2), 59015, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(943, 19686, F9, 3, 10) (dual of [(19686, 3), 59015, 11]-NRT-code) | [i] | ||