Information on Result #611037
Linear OA(2121, 1048577, F2, 13) (dual of [1048577, 1048456, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2120, 1048576, F2, 12) (dual of [1048576, 1048456, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(2127, 1048584, F2, 13) (dual of [1048584, 1048457, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2164, 1048581, F2, 17) (dual of [1048581, 1048417, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2165, 1048585, F2, 17) (dual of [1048585, 1048420, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2166, 1048593, F2, 17) (dual of [1048593, 1048427, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2167, 1048609, F2, 17) (dual of [1048609, 1048442, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2168, 1048624, F2, 17) (dual of [1048624, 1048456, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2124, 1048581, F2, 13) (dual of [1048581, 1048457, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(2125, 1048585, F2, 13) (dual of [1048585, 1048460, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2126, 1048593, F2, 13) (dual of [1048593, 1048467, 14]-code) | [i] | ✔ | |