Information on Result #873839
Linear OOA(6441, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using OOA 2-folding based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(6443, 4194302, F64, 2, 11) (dual of [(4194302, 2), 8388561, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6445, 4194303, F64, 2, 11) (dual of [(4194303, 2), 8388561, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(6442, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388560, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4123, large, F4, 2, 11) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(882, 8388602, F8, 2, 11) (dual of [(8388602, 2), 16777122, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(6446, 4194366, F64, 2, 11) (dual of [(4194366, 2), 8388686, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(6447, 4194381, F64, 2, 11) (dual of [(4194381, 2), 8388715, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(6448, 4196317, F64, 2, 11) (dual of [(4196317, 2), 8392586, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(6449, 4196318, F64, 2, 11) (dual of [(4196318, 2), 8392587, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(6450, 4196382, F64, 2, 11) (dual of [(4196382, 2), 8392714, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(6451, 4198334, F64, 2, 11) (dual of [(4198334, 2), 8396617, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(6452, 4200350, F64, 2, 11) (dual of [(4200350, 2), 8400648, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(6453, 4202367, F64, 2, 11) (dual of [(4202367, 2), 8404681, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(6454, 4325374, F64, 2, 11) (dual of [(4325374, 2), 8650694, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(6455, 4325377, F64, 2, 11) (dual of [(4325377, 2), 8650699, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(6456, 4325439, F64, 2, 11) (dual of [(4325439, 2), 8650822, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(6457, 4329535, F64, 2, 11) (dual of [(4329535, 2), 8659013, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(6458, 8388602, F64, 2, 11) (dual of [(8388602, 2), 16777146, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(6451, 4198461, F64, 2, 11) (dual of [(4198461, 2), 8396871, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(6456, 4327485, F64, 2, 11) (dual of [(4327485, 2), 8654914, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(6457, 4460541, F64, 2, 11) (dual of [(4460541, 2), 8921025, 12]-NRT-code) | [i] | ||
| 22 | OOA(6447, 4194430, S64, 2, 11) | [i] | ||
| 23 | OOA(6450, 4202429, S64, 2, 11) | [i] | ||
| 24 | OOA(6451, 4226941, S64, 2, 11) | [i] | ||
| 25 | OOA(6452, 4226942, S64, 2, 11) | [i] | ||
| 26 | OOA(6453, 4227198, S64, 2, 11) | [i] | ||
| 27 | OOA(6457, 5242878, S64, 2, 11) | [i] | ||