Information on Result #689198
Linear OA(965, 531463, F9, 12) (dual of [531463, 531398, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
- linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(943, 531441, F9, 8) (dual of [531441, 531398, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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 OOA(965, 531463, F9, 2, 12) (dual of [(531463, 2), 1062861, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(965, 531463, F9, 3, 12) (dual of [(531463, 3), 1594324, 13]-NRT-code) | [i] | ||
| 3 | Digital (53, 65, 531463)-net over F9 | [i] | ||
| 4 | Linear OOA(965, 265731, F9, 2, 12) (dual of [(265731, 2), 531397, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(965, 177154, F9, 3, 12) (dual of [(177154, 3), 531397, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(965, 88577, F9, 12, 12) (dual of [(88577, 12), 1062859, 13]-NRT-code) | [i] | OA Folding and Stacking | |