Information on Result #873792
Linear OOA(6433, 4194301, F64, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using OOA 2-folding based on linear OA(6433, 8388602, F64, 9) (dual of [8388602, 8388569, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(6435, 4194302, F64, 2, 9) (dual of [(4194302, 2), 8388569, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6434, 4194301, F64, 2, 9) (dual of [(4194301, 2), 8388568, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(499, large, F4, 2, 9) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(866, 8388602, F8, 2, 9) (dual of [(8388602, 2), 16777138, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(6437, 4194366, F64, 2, 9) (dual of [(4194366, 2), 8388695, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(6438, 4194381, F64, 2, 9) (dual of [(4194381, 2), 8388724, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(6439, 4196317, F64, 2, 9) (dual of [(4196317, 2), 8392595, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(6440, 4196350, F64, 2, 9) (dual of [(4196350, 2), 8392660, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(6441, 4196382, F64, 2, 9) (dual of [(4196382, 2), 8392723, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(6442, 4198333, F64, 2, 9) (dual of [(4198333, 2), 8396624, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(6443, 4325374, F64, 2, 9) (dual of [(4325374, 2), 8650705, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(6444, 4325377, F64, 2, 9) (dual of [(4325377, 2), 8650710, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(6445, 4325439, F64, 2, 9) (dual of [(4325439, 2), 8650833, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(6446, 8388602, F64, 2, 9) (dual of [(8388602, 2), 16777158, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(6441, 4198461, F64, 2, 9) (dual of [(4198461, 2), 8396881, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(6442, 4198476, F64, 2, 9) (dual of [(4198476, 2), 8396910, 10]-NRT-code) | [i] | ||
| 17 | OOA(6438, 4194430, S64, 2, 9) | [i] | ||
| 18 | OOA(6440, 4202429, S64, 2, 9) | [i] | ||
| 19 | OOA(6441, 4226941, S64, 2, 9) | [i] | ||
| 20 | OOA(6445, 5242878, S64, 2, 9) | [i] | ||