Information on Result #689439
Linear OA(985, 59073, F9, 18) (dual of [59073, 58988, 19]-code), using construction X applied to Ce(18) ⊂ Ce(13) 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(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-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(985, 59073, F9, 2, 18) (dual of [(59073, 2), 118061, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(985, 59073, F9, 3, 18) (dual of [(59073, 3), 177134, 19]-NRT-code) | [i] | ||
| 3 | Digital (67, 85, 59073)-net over F9 | [i] | ||
| 4 | Linear OOA(985, 29536, F9, 2, 18) (dual of [(29536, 2), 58987, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(985, 19691, F9, 3, 18) (dual of [(19691, 3), 58988, 19]-NRT-code) | [i] | ||