Information on Result #689241
Linear OA(9150, 531465, F9, 28) (dual of [531465, 531315, 29]-code), using construction XX applied to Ce(27) ⊂ Ce(23) ⊂ Ce(22) 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(9121, 531441, F9, 23) (dual of [531441, 531320, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(94, 23, F9, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(9150, 387909, F9, 2, 28) (dual of [(387909, 2), 775668, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9150, 387909, F9, 3, 28) (dual of [(387909, 3), 1163577, 29]-NRT-code) | [i] | ||
| 3 | Digital (122, 150, 387909)-net over F9 | [i] | ||
| 4 | Linear OOA(9150, 265732, F9, 2, 28) (dual of [(265732, 2), 531314, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9150, 177155, F9, 3, 28) (dual of [(177155, 3), 531315, 29]-NRT-code) | [i] | ||