Information on Result #1323836
Linear OA(9113, 531487, F9, 20) (dual of [531487, 531374, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
- linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(9113, 531487, F9, 2, 20) (dual of [(531487, 2), 1062861, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9113, 531487, F9, 3, 20) (dual of [(531487, 3), 1594348, 21]-NRT-code) | [i] | ||
| 3 | Digital (93, 113, 531487)-net over F9 | [i] | ||
| 4 | Linear OA(9114, 531489, F9, 20) (dual of [531489, 531375, 21]-code) | [i] | Construction X with Varšamov Bound | |