Information on Result #610963
Linear OA(281, 1048577, F2, 9) (dual of [1048577, 1048496, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(280, 1048576, F2, 8) (dual of [1048576, 1048496, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(285, 1048582, F2, 9) (dual of [1048582, 1048497, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2124, 1048581, F2, 13) (dual of [1048581, 1048457, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(2125, 1048585, F2, 13) (dual of [1048585, 1048460, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(2126, 1048593, F2, 13) (dual of [1048593, 1048467, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(284, 1048581, F2, 9) (dual of [1048581, 1048497, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(281, 262144, F2, 5, 9) (dual of [(262144, 5), 1310639, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(281, 262144, F2, 6, 9) (dual of [(262144, 6), 1572783, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(281, 262144, F2, 7, 9) (dual of [(262144, 7), 1834927, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(281, 262144, F2, 8, 9) (dual of [(262144, 8), 2097071, 10]-NRT-code) | [i] | ||