Information on Result #696547
Linear OA(3281, 1048580, F32, 21) (dual of [1048580, 1048499, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(3281, 1048576, F32, 21) (dual of [1048576, 1048495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3277, 1048576, F32, 20) (dual of [1048576, 1048499, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(3292, 1048624, F32, 21) (dual of [1048624, 1048532, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3294, 1048644, F32, 21) (dual of [1048644, 1048550, 22]-code) | [i] | ||
| 3 | Linear OA(3295, 1048646, F32, 21) (dual of [1048646, 1048551, 22]-code) | [i] | ||
| 4 | Linear OA(3296, 1048656, F32, 21) (dual of [1048656, 1048560, 22]-code) | [i] | ||
| 5 | Linear OA(3297, 1048675, F32, 21) (dual of [1048675, 1048578, 22]-code) | [i] | ||
| 6 | Linear OA(3298, 1048678, F32, 21) (dual of [1048678, 1048580, 22]-code) | [i] | ||
| 7 | Linear OA(3299, 1048681, F32, 21) (dual of [1048681, 1048582, 22]-code) | [i] | ||
| 8 | Linear OA(32100, 1049607, F32, 21) (dual of [1049607, 1049507, 22]-code) | [i] | ||
| 9 | Linear OOA(3281, 524290, F32, 2, 21) (dual of [(524290, 2), 1048499, 22]-NRT-code) | [i] | OOA Folding | |