Information on Result #1323837
Linear OA(9107, 531487, F9, 19) (dual of [531487, 531380, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(910, 46, F9, 6) (dual of [46, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 52, F9, 6) (dual of [52, 42, 7]-code), using
- a “Gra†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(910, 52, F9, 6) (dual of [52, 42, 7]-code), using
Mode: 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(9107, 531487, F9, 2, 19) (dual of [(531487, 2), 1062867, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9107, 531487, F9, 3, 19) (dual of [(531487, 3), 1594354, 20]-NRT-code) | [i] | ||
| 3 | Digital (88, 107, 531487)-net over F9 | [i] | ||
| 4 | Linear OA(9108, 531489, F9, 19) (dual of [531489, 531381, 20]-code) | [i] | Construction X with Varšamov Bound | |