Information on Result #873814
Linear OOA(6437, 4194301, F64, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using OOA 2-folding based on linear OA(6437, 8388602, F64, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(6439, 4194302, F64, 2, 10) (dual of [(4194302, 2), 8388565, 11]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6441, 4194303, F64, 2, 10) (dual of [(4194303, 2), 8388565, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(6438, 4194301, F64, 2, 10) (dual of [(4194301, 2), 8388564, 11]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4111, large, F4, 2, 10) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(874, 8388602, F8, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(6442, 4194366, F64, 2, 10) (dual of [(4194366, 2), 8388690, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(6443, 4194381, F64, 2, 10) (dual of [(4194381, 2), 8388719, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(6444, 4196317, F64, 2, 10) (dual of [(4196317, 2), 8392590, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(6445, 4196318, F64, 2, 10) (dual of [(4196318, 2), 8392591, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(6446, 4196382, F64, 2, 10) (dual of [(4196382, 2), 8392718, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(6447, 4198334, F64, 2, 10) (dual of [(4198334, 2), 8396621, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(6448, 4200350, F64, 2, 10) (dual of [(4200350, 2), 8400652, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(6449, 4202367, F64, 2, 10) (dual of [(4202367, 2), 8404685, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(6450, 4325374, F64, 2, 10) (dual of [(4325374, 2), 8650698, 11]-NRT-code) | [i] | ||
| 15 | Linear OOA(6451, 4325377, F64, 2, 10) (dual of [(4325377, 2), 8650703, 11]-NRT-code) | [i] | ||
| 16 | Linear OOA(6452, 4325439, F64, 2, 10) (dual of [(4325439, 2), 8650826, 11]-NRT-code) | [i] | ||
| 17 | Linear OOA(6453, 4329535, F64, 2, 10) (dual of [(4329535, 2), 8659017, 11]-NRT-code) | [i] | ||
| 18 | Linear OOA(6454, 8388602, F64, 2, 10) (dual of [(8388602, 2), 16777150, 11]-NRT-code) | [i] | ||
| 19 | Linear OOA(6447, 4198461, F64, 2, 10) (dual of [(4198461, 2), 8396875, 11]-NRT-code) | [i] | ||
| 20 | Linear OOA(6452, 4327485, F64, 2, 10) (dual of [(4327485, 2), 8654918, 11]-NRT-code) | [i] | ||
| 21 | Linear OOA(6453, 4460541, F64, 2, 10) (dual of [(4460541, 2), 8921029, 11]-NRT-code) | [i] | ||
| 22 | OOA(6443, 4194430, S64, 2, 10) | [i] | ||
| 23 | OOA(6446, 4202429, S64, 2, 10) | [i] | ||
| 24 | OOA(6447, 4226941, S64, 2, 10) | [i] | ||
| 25 | OOA(6448, 4226942, S64, 2, 10) | [i] | ||
| 26 | OOA(6449, 4227198, S64, 2, 10) | [i] | ||
| 27 | OOA(6453, 5242878, S64, 2, 10) | [i] | ||