Information on Result #689443
Linear OA(965, 59073, F9, 14) (dual of [59073, 59008, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
- 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(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(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 OA(966, 59074, F9, 14) (dual of [59074, 59008, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(965, 59073, F9, 2, 14) (dual of [(59073, 2), 118081, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(965, 59073, F9, 3, 14) (dual of [(59073, 3), 177154, 15]-NRT-code) | [i] | ||
| 4 | Digital (51, 65, 59073)-net over F9 | [i] | ||
| 5 | Linear OA(966, 59075, F9, 14) (dual of [59075, 59009, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(967, 59077, F9, 14) (dual of [59077, 59010, 15]-code) | [i] | ||
| 7 | Linear OOA(965, 29536, F9, 2, 14) (dual of [(29536, 2), 59007, 15]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(965, 19691, F9, 3, 14) (dual of [(19691, 3), 59008, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(965, 8439, F9, 14, 14) (dual of [(8439, 14), 118081, 15]-NRT-code) | [i] | OA Folding and Stacking | |