Information on Result #619840
Linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(1690, 131074, F16, 23) (dual of [131074, 130984, 24]-code) | [i] | Trace Code | |
| 2 | Linear OA(25656, 65794, F256, 23) (dual of [65794, 65738, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25657, 65797, F256, 23) (dual of [65797, 65740, 24]-code) | [i] | ||
| 4 | Linear OA(25658, 65799, F256, 23) (dual of [65799, 65741, 24]-code) | [i] | ||
| 5 | Linear OA(25659, 65801, F256, 23) (dual of [65801, 65742, 24]-code) | [i] | ||
| 6 | Linear OA(25660, 65803, F256, 23) (dual of [65803, 65743, 24]-code) | [i] | ||
| 7 | Linear OA(25661, 66049, F256, 23) (dual of [66049, 65988, 24]-code) | [i] | ||
| 8 | Linear OA(25663, 66308, F256, 23) (dual of [66308, 66245, 24]-code) | [i] | ||
| 9 | Linear OA(25664, 66822, F256, 23) (dual of [66822, 66758, 24]-code) | [i] | ||
| 10 | Linear OA(25666, 131074, F256, 23) (dual of [131074, 131008, 24]-code) | [i] | ||
| 11 | Linear OA(25661, 66051, F256, 23) (dual of [66051, 65990, 24]-code) | [i] | ||
| 12 | Linear OA(25662, 66054, F256, 23) (dual of [66054, 65992, 24]-code) | [i] | ||
| 13 | Linear OA(25666, 65561, F256, 23) (dual of [65561, 65495, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(25664, 65558, F256, 23) (dual of [65558, 65494, 24]-code) | [i] | ||
| 15 | Linear OA(25665, 65561, F256, 23) (dual of [65561, 65496, 24]-code) | [i] | ||
| 16 | Linear OA(25666, 65564, F256, 23) (dual of [65564, 65498, 24]-code) | [i] | ||
| 17 | Linear OA(25661, 65555, F256, 23) (dual of [65555, 65494, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(25662, 65557, F256, 23) (dual of [65557, 65495, 24]-code) | [i] | ||
| 19 | Linear OA(25663, 66051, F256, 23) (dual of [66051, 65988, 24]-code) | [i] | ||
| 20 | Linear OA(25664, 66054, F256, 23) (dual of [66054, 65990, 24]-code) | [i] | ||
| 21 | Linear OA(25665, 66057, F256, 23) (dual of [66057, 65992, 24]-code) | [i] | ||
| 22 | Linear OA(25666, 66059, F256, 23) (dual of [66059, 65993, 24]-code) | [i] | ||
| 23 | Linear OA(25655, 65548, F256, 23) (dual of [65548, 65493, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 24 | Linear OA(25650, 65542, F256, 25) (dual of [65542, 65492, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(25646, 65542, F256, 23) (dual of [65542, 65496, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(25656, 65548, F256, 27) (dual of [65548, 65492, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(25648, 65548, F256, 23) (dual of [65548, 65500, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(25662, 65554, F256, 29) (dual of [65554, 65492, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(25650, 65554, F256, 23) (dual of [65554, 65504, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(25668, 65560, F256, 31) (dual of [65560, 65492, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(25652, 65560, F256, 23) (dual of [65560, 65508, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(25654, 65566, F256, 23) (dual of [65566, 65512, 24]-code) | [i] | ✔ | |