Information on Result #696577
Linear OA(3294, 1048585, F32, 24) (dual of [1048585, 1048491, 25]-code), using construction X applied to Ce(23) ⊂ Ce(21) based on
- linear OA(3293, 1048576, F32, 24) (dual of [1048576, 1048483, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3285, 1048576, F32, 22) (dual of [1048576, 1048491, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(32109, 1048649, F32, 24) (dual of [1048649, 1048540, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(3294, 673231, F32, 2, 24) (dual of [(673231, 2), 1346368, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (70, 94, 673231)-net over F32 | [i] | ||
| 4 | Linear OOA(3294, 524292, F32, 2, 24) (dual of [(524292, 2), 1048490, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3294, 87382, F32, 24, 24) (dual of [(87382, 24), 2097074, 25]-NRT-code) | [i] | OA Folding and Stacking | |