Information on Result #696584
Linear OA(3238, 1048585, F32, 10) (dual of [1048585, 1048547, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(3237, 1048576, F32, 10) (dual of [1048576, 1048539, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3229, 1048576, F32, 8) (dual of [1048576, 1048547, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3245, 1049578, F32, 10) (dual of [1049578, 1049533, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(3238, 1048585, F32, 2, 10) (dual of [(1048585, 2), 2097132, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (28, 38, 1048585)-net over F32 | [i] | ||
| 4 | Linear OOA(3238, 524292, F32, 2, 10) (dual of [(524292, 2), 1048546, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3238, 209717, F32, 10, 10) (dual of [(209717, 10), 2097132, 11]-NRT-code) | [i] | OA Folding and Stacking | |