Information on Result #1070160
Linear OOA(12841, 2097150, F128, 4, 11) (dual of [(2097150, 4), 8388559, 12]-NRT-code), using OOA 4-folding based on linear OA(12841, 8388600, F128, 11) (dual of [8388600, 8388559, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(12841, large, F128, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, 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(12842, 2097150, F128, 4, 11) (dual of [(2097150, 4), 8388558, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12846, 2097279, F128, 4, 11) (dual of [(2097279, 4), 8389070, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12847, 2097300, F128, 4, 11) (dual of [(2097300, 4), 8389153, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(12848, 2105278, F128, 4, 11) (dual of [(2105278, 4), 8421064, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(12850, 2105407, F128, 4, 11) (dual of [(2105407, 4), 8421578, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(12851, 2113661, F128, 4, 11) (dual of [(2113661, 4), 8454593, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(12852, 2121535, F128, 4, 11) (dual of [(2121535, 4), 8486088, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(12853, 2129663, F128, 4, 11) (dual of [(2129663, 4), 8518599, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(12854, 3145727, F128, 4, 11) (dual of [(3145727, 4), 12582854, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(12855, 3145730, F128, 4, 11) (dual of [(3145730, 4), 12582865, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(12856, 3154045, F128, 4, 11) (dual of [(3154045, 4), 12616124, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(12857, 4194300, F128, 4, 11) (dual of [(4194300, 4), 16777143, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(12851, 2113662, F128, 4, 11) (dual of [(2113662, 4), 8454597, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(12856, 3154046, F128, 4, 11) (dual of [(3154046, 4), 12616128, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(12860, 4194304, F128, 4, 11) (dual of [(4194304, 4), 16777156, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 16 | Linear OOA(12861, 4194310, F128, 4, 11) (dual of [(4194310, 4), 16777179, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(12860, 4194429, F128, 4, 11) (dual of [(4194429, 4), 16777656, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(12861, 4210685, F128, 4, 11) (dual of [(4210685, 4), 16842679, 12]-NRT-code) | [i] | ||