Information on Result #992540
Linear OOA(12833, 5462, F128, 3, 17) (dual of [(5462, 3), 16353, 18]-NRT-code), using OOA 3-folding based on linear OA(12833, 16386, F128, 17) (dual of [16386, 16353, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(12841, 5591, F128, 3, 17) (dual of [(5591, 3), 16732, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12842, 5612, F128, 3, 17) (dual of [(5612, 3), 16794, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(12844, 5654, F128, 3, 17) (dual of [(5654, 3), 16918, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(12845, 5720, F128, 3, 17) (dual of [(5720, 3), 17115, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(12846, 5741, F128, 3, 17) (dual of [(5741, 3), 17177, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(12847, 5762, F128, 3, 17) (dual of [(5762, 3), 17239, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(12847, 5849, F128, 3, 17) (dual of [(5849, 3), 17500, 18]-NRT-code) | [i] | ||