Information on Result #689212
Linear OA(973, 531471, F9, 13) (dual of [531471, 531398, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- 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(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(96, 30, F9, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), 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(973, 531471, F9, 2, 13) (dual of [(531471, 2), 1062869, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(973, 531471, F9, 3, 13) (dual of [(531471, 3), 1594340, 14]-NRT-code) | [i] | ||
| 3 | Digital (60, 73, 531471)-net over F9 | [i] | ||
| 4 | Linear OOA(973, 265735, F9, 2, 13) (dual of [(265735, 2), 531397, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(973, 177157, F9, 3, 13) (dual of [(177157, 3), 531398, 14]-NRT-code) | [i] | ||