Information on Result #699940
Linear OA(12811, 16386, F128, 6) (dual of [16386, 16375, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(6413, 16386, S64, 6) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12836, 32772, F128, 13) (dual of [32772, 32736, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12848, 2113541, F128, 13) (dual of [2113541, 2113493, 14]-code) | [i] | ||
| 4 | Linear OA(12814, 16516, F128, 6) (dual of [16516, 16502, 7]-code) | [i] | ||
| 5 | Linear OA(12815, 32771, F128, 6) (dual of [32771, 32756, 7]-code) | [i] | ||
| 6 | Linear OOA(12811, 8193, F128, 2, 6) (dual of [(8193, 2), 16375, 7]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(12811, 5462, F128, 3, 6) (dual of [(5462, 3), 16375, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(12811, 5462, F128, 4, 6) (dual of [(5462, 4), 21837, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 9 | Linear OOA(12811, 5462, F128, 6, 6) (dual of [(5462, 6), 32761, 7]-NRT-code) | [i] | ||