Information on Result #699936
Linear OA(12817, 16386, F128, 9) (dual of [16386, 16369, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- linear OA(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 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(1630, 16386, S16, 9) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3224, 16386, S32, 9) | [i] | ||
| 3 | OA(6420, 16386, S64, 9) | [i] | ||
| 4 | Linear OA(12854, 32772, F128, 19) (dual of [32772, 32718, 20]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12872, 2113541, F128, 19) (dual of [2113541, 2113469, 20]-code) | [i] | ||
| 6 | Linear OA(12821, 16515, F128, 9) (dual of [16515, 16494, 10]-code) | [i] | ||
| 7 | Linear OA(12822, 16536, F128, 9) (dual of [16536, 16514, 10]-code) | [i] | ||
| 8 | Linear OA(12823, 32642, F128, 9) (dual of [32642, 32619, 10]-code) | [i] | ||
| 9 | Linear OA(12824, 32772, F128, 9) (dual of [32772, 32748, 10]-code) | [i] | ||
| 10 | Linear OOA(12817, 8193, F128, 2, 9) (dual of [(8193, 2), 16369, 10]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(12817, 5462, F128, 3, 9) (dual of [(5462, 3), 16369, 10]-NRT-code) | [i] | ||