Information on Result #689442
Linear OA(970, 59073, F9, 15) (dual of [59073, 59003, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(970, 59073, F9, 2, 15) (dual of [(59073, 2), 118076, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(970, 59073, F9, 3, 15) (dual of [(59073, 3), 177149, 16]-NRT-code) | [i] | ||
| 3 | Digital (55, 70, 59073)-net over F9 | [i] | ||
| 4 | Linear OOA(970, 29536, F9, 2, 15) (dual of [(29536, 2), 59002, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(970, 19691, F9, 3, 15) (dual of [(19691, 3), 59003, 16]-NRT-code) | [i] | ||