Information on Result #696830
Linear OA(3270, 32771, F32, 24) (dual of [32771, 32701, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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 | OA(1688, 32771, S16, 24) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3283, 32815, F32, 24) (dual of [32815, 32732, 25]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3285, 32835, F32, 24) (dual of [32835, 32750, 25]-code) | [i] | ||
| 4 | Linear OA(3286, 32837, F32, 24) (dual of [32837, 32751, 25]-code) | [i] | ||
| 5 | Linear OA(3287, 32847, F32, 24) (dual of [32847, 32760, 25]-code) | [i] | ||
| 6 | Linear OA(3288, 32849, F32, 24) (dual of [32849, 32761, 25]-code) | [i] | ||
| 7 | Linear OA(3289, 32869, F32, 24) (dual of [32869, 32780, 25]-code) | [i] | ||
| 8 | Linear OA(3290, 32871, F32, 24) (dual of [32871, 32781, 25]-code) | [i] | ||
| 9 | Linear OA(3291, 32875, F32, 24) (dual of [32875, 32784, 25]-code) | [i] | ||
| 10 | Linear OA(3292, 33114, F32, 24) (dual of [33114, 33022, 25]-code) | [i] | ||
| 11 | Linear OOA(3270, 16385, F32, 2, 24) (dual of [(16385, 2), 32700, 25]-NRT-code) | [i] | OOA Folding | |