Information on Result #878287
Linear OOA(12821, 4194301, F128, 2, 6) (dual of [(4194301, 2), 8388581, 7]-NRT-code), using OOA 2-folding based on linear OA(12821, 8388602, F128, 6) (dual of [8388602, 8388581, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(12823, 4194302, F128, 2, 6) (dual of [(4194302, 2), 8388581, 7]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12822, 4194301, F128, 2, 6) (dual of [(4194301, 2), 8388580, 7]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(12824, 4194430, F128, 2, 6) (dual of [(4194430, 2), 8388836, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(12825, 4210686, F128, 2, 6) (dual of [(4210686, 2), 8421347, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(12826, 4243457, F128, 2, 6) (dual of [(4243457, 2), 8486888, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(12827, 6324351, F128, 2, 6) (dual of [(6324351, 2), 12648675, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(12828, 8388602, F128, 2, 6) (dual of [(8388602, 2), 16777176, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(12866, 8388602, F128, 2, 12) (dual of [(8388602, 2), 16777138, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(12870, 8388602, F128, 2, 13) (dual of [(8388602, 2), 16777134, 14]-NRT-code) | [i] | ||