Information on Result #611247
Linear OA(2241, 1048577, F2, 25) (dual of [1048577, 1048336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2240, 1048576, F2, 24) (dual of [1048576, 1048336, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(2253, 1048590, F2, 25) (dual of [1048590, 1048337, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2244, 1048581, F2, 25) (dual of [1048581, 1048337, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(2245, 1048585, F2, 25) (dual of [1048585, 1048340, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2246, 1048593, F2, 25) (dual of [1048593, 1048347, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2247, 1048609, F2, 25) (dual of [1048609, 1048362, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2248, 1048624, F2, 25) (dual of [1048624, 1048376, 26]-code) | [i] | ✔ | |