Information on Result #1050905
Linear OOA(1287, 8193, F128, 4, 4) (dual of [(8193, 4), 32765, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(1287, 16386, F128, 4) (dual of [16386, 16379, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(1287, 16384, F128, 4) (dual of [16384, 16377, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1285, 16384, F128, 3) (dual of [16384, 16379, 4]-code or 16384-cap in PG(4,128)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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 | Linear OOA(12836, 2105343, F128, 4, 8) (dual of [(2105343, 4), 8421336, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12832, 532481, F128, 4, 9) (dual of [(532481, 4), 2129892, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(12840, 2105343, F128, 4, 9) (dual of [(2105343, 4), 8421332, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(12877, 4202493, F128, 4, 13) (dual of [(4202493, 4), 16809895, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(12873, 4202493, F128, 4, 12) (dual of [(4202493, 4), 16809899, 13]-NRT-code) | [i] | ||
| 6 | Digital (3, 7, 8193)-net over F128 | [i] | Net Defined by OOA | |