Information on Result #689162
Linear OA(9147, 531451, F9, 28) (dual of [531451, 531304, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) based on
- linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
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(9147, 301037, F9, 2, 28) (dual of [(301037, 2), 601927, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9147, 301037, F9, 3, 28) (dual of [(301037, 3), 902964, 29]-NRT-code) | [i] | ||
| 3 | Digital (119, 147, 301037)-net over F9 | [i] | ||
| 4 | Linear OOA(9147, 265725, F9, 2, 28) (dual of [(265725, 2), 531303, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9147, 177150, F9, 3, 28) (dual of [(177150, 3), 531303, 29]-NRT-code) | [i] | ||