Information on Result #689187
Linear OA(9130, 531462, F9, 24) (dual of [531462, 531332, 25]-code), using construction X applied to Ce(23) ⊂ Ce(20) 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(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(93, 21, F9, 2) (dual of [21, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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(9130, 445740, F9, 2, 24) (dual of [(445740, 2), 891350, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9130, 445740, F9, 3, 24) (dual of [(445740, 3), 1337090, 25]-NRT-code) | [i] | ||
| 3 | Digital (106, 130, 445740)-net over F9 | [i] | ||
| 4 | Linear OOA(9130, 265731, F9, 2, 24) (dual of [(265731, 2), 531332, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9130, 177154, F9, 3, 24) (dual of [(177154, 3), 531332, 25]-NRT-code) | [i] | ||