Information on Result #689189
Linear OA(9118, 531462, F9, 22) (dual of [531462, 531344, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(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 OA(9119, 531463, F9, 22) (dual of [531463, 531344, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9118, 396755, F9, 2, 22) (dual of [(396755, 2), 793392, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9118, 396755, F9, 3, 22) (dual of [(396755, 3), 1190147, 23]-NRT-code) | [i] | ||
| 4 | Digital (96, 118, 396755)-net over F9 | [i] | ||
| 5 | Linear OOA(9118, 265731, F9, 2, 22) (dual of [(265731, 2), 531344, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9118, 177154, F9, 3, 22) (dual of [(177154, 3), 531344, 23]-NRT-code) | [i] | ||