Information on Result #619831
Linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(1682, 131074, F16, 21) (dual of [131074, 130992, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(25651, 65794, F256, 21) (dual of [65794, 65743, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25652, 65797, F256, 21) (dual of [65797, 65745, 22]-code) | [i] | ||
| 4 | Linear OA(25653, 65799, F256, 21) (dual of [65799, 65746, 22]-code) | [i] | ||
| 5 | Linear OA(25654, 65801, F256, 21) (dual of [65801, 65747, 22]-code) | [i] | ||
| 6 | Linear OA(25655, 65803, F256, 21) (dual of [65803, 65748, 22]-code) | [i] | ||
| 7 | Linear OA(25656, 66049, F256, 21) (dual of [66049, 65993, 22]-code) | [i] | ||
| 8 | Linear OA(25657, 66308, F256, 21) (dual of [66308, 66251, 22]-code) | [i] | ||
| 9 | Linear OA(25659, 66822, F256, 21) (dual of [66822, 66763, 22]-code) | [i] | ||
| 10 | Linear OA(25660, 131073, F256, 21) (dual of [131073, 131013, 22]-code) | [i] | ||
| 11 | Linear OA(25656, 66051, F256, 21) (dual of [66051, 65995, 22]-code) | [i] | ||
| 12 | Linear OA(25660, 65558, F256, 21) (dual of [65558, 65498, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(25657, 65555, F256, 21) (dual of [65555, 65498, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(25658, 66051, F256, 21) (dual of [66051, 65993, 22]-code) | [i] | ||
| 15 | Linear OA(25659, 66054, F256, 21) (dual of [66054, 65995, 22]-code) | [i] | ||
| 16 | Linear OA(25660, 66057, F256, 21) (dual of [66057, 65997, 22]-code) | [i] | ||
| 17 | Linear OA(25651, 65548, F256, 21) (dual of [65548, 65497, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(25646, 65542, F256, 23) (dual of [65542, 65496, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(25652, 65548, F256, 25) (dual of [65548, 65496, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(25644, 65548, F256, 21) (dual of [65548, 65504, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(25658, 65554, F256, 27) (dual of [65554, 65496, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(25646, 65554, F256, 21) (dual of [65554, 65508, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(25664, 65560, F256, 29) (dual of [65560, 65496, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(25648, 65560, F256, 21) (dual of [65560, 65512, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(25650, 65566, F256, 21) (dual of [65566, 65516, 22]-code) | [i] | ✔ | |