Information on Result #689200
Linear OA(953, 531463, F9, 10) (dual of [531463, 531410, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(931, 531441, F9, 6) (dual of [531441, 531410, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(953, 531463, F9, 2, 10) (dual of [(531463, 2), 1062873, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(953, 531463, F9, 3, 10) (dual of [(531463, 3), 1594336, 11]-NRT-code) | [i] | ||
| 3 | Digital (43, 53, 531463)-net over F9 | [i] | ||
| 4 | Linear OOA(953, 265731, F9, 2, 10) (dual of [(265731, 2), 531409, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(953, 177154, F9, 3, 10) (dual of [(177154, 3), 531409, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(953, 106292, F9, 10, 10) (dual of [(106292, 10), 1062867, 11]-NRT-code) | [i] | OA Folding and Stacking | |