Information on Result #689218
Linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-code), using construction X applied to Ce(23) ⊂ Ce(18) based on
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(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 OA(9134, 531478, F9, 24) (dual of [531478, 531344, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9135, 531479, F9, 24) (dual of [531479, 531344, 25]-code) | [i] | ||
| 3 | Linear OA(9136, 531480, F9, 24) (dual of [531480, 531344, 25]-code) | [i] | ||
| 4 | Linear OOA(9133, 531477, F9, 2, 24) (dual of [(531477, 2), 1062821, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(9133, 531477, F9, 3, 24) (dual of [(531477, 3), 1594298, 25]-NRT-code) | [i] | ||
| 6 | Digital (109, 133, 531477)-net over F9 | [i] | ||
| 7 | Linear OA(9134, 531479, F9, 24) (dual of [531479, 531345, 25]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OA(9135, 531481, F9, 24) (dual of [531481, 531346, 25]-code) | [i] | ||
| 9 | Linear OA(9136, 531483, F9, 24) (dual of [531483, 531347, 25]-code) | [i] | ||
| 10 | Linear OOA(9133, 265738, F9, 2, 24) (dual of [(265738, 2), 531343, 25]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(9133, 177159, F9, 3, 24) (dual of [(177159, 3), 531344, 25]-NRT-code) | [i] | ||