Information on Result #874091
Linear OOA(6469, 4194301, F64, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using OOA 2-folding based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(6471, 4194302, F64, 2, 18) (dual of [(4194302, 2), 8388533, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6473, 4194303, F64, 2, 18) (dual of [(4194303, 2), 8388533, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(6475, 4194304, F64, 2, 18) (dual of [(4194304, 2), 8388533, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(6477, 4194305, F64, 2, 18) (dual of [(4194305, 2), 8388533, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(6470, 4194301, F64, 2, 18) (dual of [(4194301, 2), 8388532, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(8138, 8388602, F8, 2, 18) (dual of [(8388602, 2), 16777066, 19]-NRT-code) | [i] | Trace Code for OOAs | |
| 7 | Linear OOA(6478, 4194366, F64, 2, 18) (dual of [(4194366, 2), 8388654, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(6479, 4194381, F64, 2, 18) (dual of [(4194381, 2), 8388683, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(6481, 4194405, F64, 2, 18) (dual of [(4194405, 2), 8388729, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(6482, 4194431, F64, 2, 18) (dual of [(4194431, 2), 8388780, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(6483, 4194446, F64, 2, 18) (dual of [(4194446, 2), 8388809, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(6484, 4194461, F64, 2, 18) (dual of [(4194461, 2), 8388838, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(6485, 4194529, F64, 2, 18) (dual of [(4194529, 2), 8388973, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(6486, 4196350, F64, 2, 18) (dual of [(4196350, 2), 8392614, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(6487, 4196352, F64, 2, 18) (dual of [(4196352, 2), 8392617, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(6488, 4196353, F64, 2, 18) (dual of [(4196353, 2), 8392618, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(6489, 4196355, F64, 2, 18) (dual of [(4196355, 2), 8392621, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(6490, 4196415, F64, 2, 18) (dual of [(4196415, 2), 8392740, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(6491, 4196430, F64, 2, 18) (dual of [(4196430, 2), 8392769, 19]-NRT-code) | [i] | ||
| 20 | OOA(6480, 4194430, S64, 2, 18) | [i] | ||
| 21 | OOA(6481, 4194558, S64, 2, 18) | [i] | ||
| 22 | OOA(6484, 4194560, S64, 2, 18) | [i] | ||
| 23 | OOA(6485, 4194623, S64, 2, 18) | [i] | ||
| 24 | OOA(6489, 4202494, S64, 2, 18) | [i] | ||
| 25 | OOA(6490, 4202496, S64, 2, 18) | [i] | ||