Information on Result #696544
Linear OA(3289, 1048580, F32, 23) (dual of [1048580, 1048491, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(3289, 1048576, F32, 23) (dual of [1048576, 1048487, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-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(32103, 1048644, F32, 23) (dual of [1048644, 1048541, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32104, 1048646, F32, 23) (dual of [1048646, 1048542, 24]-code) | [i] | ||
| 3 | Linear OA(32105, 1048656, F32, 23) (dual of [1048656, 1048551, 24]-code) | [i] | ||
| 4 | Linear OA(32106, 1048658, F32, 23) (dual of [1048658, 1048552, 24]-code) | [i] | ||
| 5 | Linear OA(32107, 1048678, F32, 23) (dual of [1048678, 1048571, 24]-code) | [i] | ||
| 6 | Linear OA(32108, 1048680, F32, 23) (dual of [1048680, 1048572, 24]-code) | [i] | ||
| 7 | Linear OA(32109, 1048690, F32, 23) (dual of [1048690, 1048581, 24]-code) | [i] | ||
| 8 | Linear OA(32110, 1049607, F32, 23) (dual of [1049607, 1049497, 24]-code) | [i] | ||
| 9 | Linear OOA(3289, 524290, F32, 2, 23) (dual of [(524290, 2), 1048491, 24]-NRT-code) | [i] | OOA Folding | |