Information on Result #873717
Linear OOA(6413, 4194301, F64, 2, 4) (dual of [(4194301, 2), 8388589, 5]-NRT-code), using OOA 2-folding based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [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(6414, 4194301, F64, 2, 4) (dual of [(4194301, 2), 8388588, 5]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(826, 8388602, F8, 2, 4) (dual of [(8388602, 2), 16777178, 5]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(6415, 4194366, F64, 2, 4) (dual of [(4194366, 2), 8388717, 5]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(6416, 4198462, F64, 2, 4) (dual of [(4198462, 2), 8396908, 5]-NRT-code) | [i] | ||
| 5 | Linear OOA(6417, 4460606, F64, 2, 4) (dual of [(4460606, 2), 8921195, 5]-NRT-code) | [i] | ||
| 6 | Linear OOA(6418, 8388602, F64, 2, 4) (dual of [(8388602, 2), 16777186, 5]-NRT-code) | [i] | ||
| 7 | Linear OOA(6442, 8388602, F64, 2, 8) (dual of [(8388602, 2), 16777162, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(6446, 8388602, F64, 2, 9) (dual of [(8388602, 2), 16777158, 10]-NRT-code) | [i] | ||