Information on Result #992282
Linear OOA(12816, 5463, F128, 3, 8) (dual of [(5463, 3), 16373, 9]-NRT-code), using OOA 3-folding based on linear OA(12816, 16389, F128, 8) (dual of [16389, 16373, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- 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(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(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-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(12877, 2801664, F128, 3, 16) (dual of [(2801664, 3), 8404915, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12869, 2801664, S128, 3, 16) | [i] | ||
| 3 | OOA(12872, 2801664, S128, 3, 17) | [i] | ||