Information on Result #992572
Linear OOA(12865, 2796201, F128, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using OOA 3-folding based on linear OA(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(12868, 2796202, F128, 3, 17) (dual of [(2796202, 3), 8388538, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12871, 2796203, F128, 3, 17) (dual of [(2796203, 3), 8388538, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(12866, 2796201, F128, 3, 17) (dual of [(2796201, 3), 8388537, 18]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(12867, 2796201, F128, 3, 17) (dual of [(2796201, 3), 8388536, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(12873, 2796330, F128, 3, 17) (dual of [(2796330, 3), 8388917, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(12874, 2796351, F128, 3, 17) (dual of [(2796351, 3), 8388979, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(12876, 2796393, F128, 3, 17) (dual of [(2796393, 3), 8389103, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(12877, 2796459, F128, 3, 17) (dual of [(2796459, 3), 8389300, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(12878, 2796480, F128, 3, 17) (dual of [(2796480, 3), 8389362, 18]-NRT-code) | [i] | ||