Information on Result #619813
Linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(1666, 131074, F16, 17) (dual of [131074, 131008, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(25641, 65794, F256, 17) (dual of [65794, 65753, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25642, 65797, F256, 17) (dual of [65797, 65755, 18]-code) | [i] | ||
| 4 | Linear OA(25643, 65799, F256, 17) (dual of [65799, 65756, 18]-code) | [i] | ||
| 5 | Linear OA(25644, 65801, F256, 17) (dual of [65801, 65757, 18]-code) | [i] | ||
| 6 | Linear OA(25645, 66049, F256, 17) (dual of [66049, 66004, 18]-code) | [i] | ||
| 7 | Linear OA(25646, 66308, F256, 17) (dual of [66308, 66262, 18]-code) | [i] | ||
| 8 | Linear OA(25647, 66822, F256, 17) (dual of [66822, 66775, 18]-code) | [i] | ||
| 9 | Linear OA(25648, 131073, F256, 17) (dual of [131073, 131025, 18]-code) | [i] | ||
| 10 | Linear OA(25645, 66051, F256, 17) (dual of [66051, 66006, 18]-code) | [i] | ||
| 11 | Linear OA(25648, 65555, F256, 17) (dual of [65555, 65507, 18]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(25645, 65551, F256, 17) (dual of [65551, 65506, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(25646, 66051, F256, 17) (dual of [66051, 66005, 18]-code) | [i] | ||
| 14 | Linear OA(25647, 66054, F256, 17) (dual of [66054, 66007, 18]-code) | [i] | ||
| 15 | Linear OA(25648, 66057, F256, 17) (dual of [66057, 66009, 18]-code) | [i] | ||
| 16 | Linear OA(25641, 65546, F256, 17) (dual of [65546, 65505, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(25638, 65542, F256, 19) (dual of [65542, 65504, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(25634, 65542, F256, 17) (dual of [65542, 65508, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(25644, 65548, F256, 21) (dual of [65548, 65504, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(25636, 65548, F256, 17) (dual of [65548, 65512, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(25650, 65554, F256, 23) (dual of [65554, 65504, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(25638, 65554, F256, 17) (dual of [65554, 65516, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(25656, 65560, F256, 25) (dual of [65560, 65504, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(25640, 65560, F256, 17) (dual of [65560, 65520, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(25662, 65566, F256, 27) (dual of [65566, 65504, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(25668, 65572, F256, 29) (dual of [65572, 65504, 30]-code) | [i] | ✔ | |
| 27 | Linear OOA(25633, 8192, F256, 17, 17) (dual of [(8192, 17), 139231, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |