Information on Result #689217
Linear OA(9139, 531477, F9, 25) (dual of [531477, 531338, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
- linear OA(9133, 531441, F9, 25) (dual of [531441, 531308, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(96, 36, F9, 4) (dual of [36, 30, 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(9139, 531477, F9, 2, 25) (dual of [(531477, 2), 1062815, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9139, 531477, F9, 3, 25) (dual of [(531477, 3), 1594292, 26]-NRT-code) | [i] | ||
| 3 | Digital (114, 139, 531477)-net over F9 | [i] | ||
| 4 | Linear OOA(9139, 265738, F9, 2, 25) (dual of [(265738, 2), 531337, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9139, 177159, F9, 3, 25) (dual of [(177159, 3), 531338, 26]-NRT-code) | [i] | ||