Information on Result #696583
Linear OA(3246, 1048585, F32, 12) (dual of [1048585, 1048539, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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(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(3253, 1048629, F32, 12) (dual of [1048629, 1048576, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(3246, 866537, F32, 2, 12) (dual of [(866537, 2), 1733028, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (34, 46, 866537)-net over F32 | [i] | ||
| 4 | Linear OOA(3246, 524292, F32, 2, 12) (dual of [(524292, 2), 1048538, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3246, 174764, F32, 12, 12) (dual of [(174764, 12), 2097122, 13]-NRT-code) | [i] | OA Folding and Stacking | |