Information on Result #873896
Linear OOA(6449, 4194301, F64, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using OOA 2-folding based on linear OA(6449, 8388602, F64, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(6451, 4194302, F64, 2, 13) (dual of [(4194302, 2), 8388553, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6453, 4194303, F64, 2, 13) (dual of [(4194303, 2), 8388553, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(6450, 4194301, F64, 2, 13) (dual of [(4194301, 2), 8388552, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4147, large, F4, 2, 13) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(898, 8388602, F8, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(6455, 4194366, F64, 2, 13) (dual of [(4194366, 2), 8388677, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(6456, 4194381, F64, 2, 13) (dual of [(4194381, 2), 8388706, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(6458, 4194431, F64, 2, 13) (dual of [(4194431, 2), 8388804, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(6459, 4194459, F64, 2, 13) (dual of [(4194459, 2), 8388859, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(6460, 4196350, F64, 2, 13) (dual of [(4196350, 2), 8392640, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(6461, 4196351, F64, 2, 13) (dual of [(4196351, 2), 8392641, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(6462, 4196353, F64, 2, 13) (dual of [(4196353, 2), 8392644, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(6463, 4196415, F64, 2, 13) (dual of [(4196415, 2), 8392767, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(6464, 4198399, F64, 2, 13) (dual of [(4198399, 2), 8396734, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(6465, 4325374, F64, 2, 13) (dual of [(4325374, 2), 8650683, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(6466, 4325377, F64, 2, 13) (dual of [(4325377, 2), 8650688, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(6467, 4325378, F64, 2, 13) (dual of [(4325378, 2), 8650689, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(6468, 4325439, F64, 2, 13) (dual of [(4325439, 2), 8650810, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(6469, 4329471, F64, 2, 13) (dual of [(4329471, 2), 8658873, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(6470, 8388602, F64, 2, 13) (dual of [(8388602, 2), 16777134, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(6463, 4198461, F64, 2, 13) (dual of [(4198461, 2), 8396859, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(6464, 4198476, F64, 2, 13) (dual of [(4198476, 2), 8396888, 14]-NRT-code) | [i] | ||
| 23 | OOA(6456, 4194430, S64, 2, 13) | [i] | ||
| 24 | OOA(6457, 4194558, S64, 2, 13) | [i] | ||
| 25 | OOA(6462, 4202494, S64, 2, 13) | [i] | ||
| 26 | OOA(6463, 4202495, S64, 2, 13) | [i] | ||
| 27 | OOA(6464, 4227070, S64, 2, 13) | [i] | ||
| 28 | OOA(6468, 5242878, S64, 2, 13) | [i] | ||
| 29 | OOA(6469, 5242881, S64, 2, 13) | [i] | ||