Information on Result #611001
Linear OA(249, 257, F2, 13) (dual of [257, 208, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, 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(248, 256, F2, 12) (dual of [256, 208, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(253, 262, F2, 13) (dual of [262, 209, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(268, 261, F2, 17) (dual of [261, 193, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(269, 265, F2, 17) (dual of [265, 196, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(270, 273, F2, 17) (dual of [273, 203, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(271, 279, F2, 17) (dual of [279, 208, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(252, 261, F2, 13) (dual of [261, 209, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(253, 265, F2, 13) (dual of [265, 212, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(254, 273, F2, 13) (dual of [273, 219, 14]-code) | [i] | ✔ | |