Information on Result #689180
Linear OA(957, 531451, F9, 11) (dual of [531451, 531394, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(943, 531441, F9, 8) (dual of [531441, 531398, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(957, 448917, F9, 2, 11) (dual of [(448917, 2), 897777, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(957, 448917, F9, 3, 11) (dual of [(448917, 3), 1346694, 12]-NRT-code) | [i] | ||
| 3 | Digital (46, 57, 448917)-net over F9 | [i] | ||
| 4 | Linear OOA(957, 265725, F9, 2, 11) (dual of [(265725, 2), 531393, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(957, 177150, F9, 3, 11) (dual of [(177150, 3), 531393, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(957, 106290, F9, 11, 11) (dual of [(106290, 11), 1169133, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |