Information on Result #874190
Linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using OOA 2-folding based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(6479, 4194302, F64, 2, 20) (dual of [(4194302, 2), 8388525, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6481, 4194303, F64, 2, 20) (dual of [(4194303, 2), 8388525, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(6483, 4194304, F64, 2, 20) (dual of [(4194304, 2), 8388525, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(6485, 4194305, F64, 2, 20) (dual of [(4194305, 2), 8388525, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(6478, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388524, 21]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(8154, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777050, 21]-NRT-code) | [i] | Trace Code for OOAs | |
| 7 | Linear OOA(6487, 4194366, F64, 2, 20) (dual of [(4194366, 2), 8388645, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(6488, 4194381, F64, 2, 20) (dual of [(4194381, 2), 8388674, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(6490, 4194405, F64, 2, 20) (dual of [(4194405, 2), 8388720, 21]-NRT-code) | [i] | ||
| 10 | OOA(6489, 4194430, S64, 2, 20) | [i] | ||
| 11 | OOA(6490, 4194451, S64, 2, 20) | [i] | ||
| 12 | OOA(6491, 4194558, S64, 2, 20) | [i] | ||