Information on Result #696561
Linear OA(3241, 1048576, F32, 11) (dual of [1048576, 1048535, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3241, 654550, F32, 2, 11) (dual of [(654550, 2), 1309059, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (30, 41, 654550)-net over F32 | [i] | ||
| 3 | Linear OA(3245, 1048580, F32, 12) (dual of [1048580, 1048535, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3241, 1048580, F32, 11) (dual of [1048580, 1048539, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(3255, 1048590, F32, 14) (dual of [1048590, 1048535, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(3243, 1048590, F32, 11) (dual of [1048590, 1048547, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(3265, 1048600, F32, 16) (dual of [1048600, 1048535, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3245, 1048600, F32, 11) (dual of [1048600, 1048555, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(3275, 1048609, F32, 18) (dual of [1048609, 1048534, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3276, 1048611, F32, 18) (dual of [1048611, 1048535, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(3286, 1048620, F32, 20) (dual of [1048620, 1048534, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(3287, 1048622, F32, 20) (dual of [1048622, 1048535, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(3298, 1048633, F32, 22) (dual of [1048633, 1048535, 23]-code) | [i] | ✔ | |
| 14 | Linear OOA(3241, 209715, F32, 11, 11) (dual of [(209715, 11), 2306824, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |