Information on Result #689184
Linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-code), using construction X applied to Ce(27) ⊂ Ce(23) based on
- linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-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(9148, 531462, F9, 27) (dual of [531462, 531314, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(9149, 356473, F9, 2, 28) (dual of [(356473, 2), 712797, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9149, 356473, F9, 3, 28) (dual of [(356473, 3), 1069270, 29]-NRT-code) | [i] | ||
| 4 | Digital (121, 149, 356473)-net over F9 | [i] | ||
| 5 | Linear OOA(9149, 265731, F9, 2, 28) (dual of [(265731, 2), 531313, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9149, 177154, F9, 3, 28) (dual of [(177154, 3), 531313, 29]-NRT-code) | [i] | ||