Information on Result #619795
Linear OA(25625, 65537, F256, 13) (dual of [65537, 65512, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, 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(1650, 131074, F16, 13) (dual of [131074, 131024, 14]-code) | [i] | Trace Code | |
| 2 | Linear OA(25631, 65794, F256, 13) (dual of [65794, 65763, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25632, 65797, F256, 13) (dual of [65797, 65765, 14]-code) | [i] | ||
| 4 | Linear OA(25633, 65799, F256, 13) (dual of [65799, 65766, 14]-code) | [i] | ||
| 5 | Linear OA(25634, 66049, F256, 13) (dual of [66049, 66015, 14]-code) | [i] | ||
| 6 | Linear OA(25635, 66822, F256, 13) (dual of [66822, 66787, 14]-code) | [i] | ||
| 7 | Linear OA(25636, 131073, F256, 13) (dual of [131073, 131037, 14]-code) | [i] | ||
| 8 | Linear OA(25634, 66051, F256, 13) (dual of [66051, 66017, 14]-code) | [i] | ||
| 9 | Linear OA(25635, 66051, F256, 13) (dual of [66051, 66016, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(25636, 66054, F256, 13) (dual of [66054, 66018, 14]-code) | [i] | ||
| 11 | Linear OA(25631, 65544, F256, 13) (dual of [65544, 65513, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(25630, 65542, F256, 15) (dual of [65542, 65512, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(25626, 65542, F256, 13) (dual of [65542, 65516, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(25636, 65548, F256, 17) (dual of [65548, 65512, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(25628, 65548, F256, 13) (dual of [65548, 65520, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(25642, 65554, F256, 19) (dual of [65554, 65512, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(25630, 65554, F256, 13) (dual of [65554, 65524, 14]-code) | [i] | ✔ | |
| 18 | Linear OA(25648, 65560, F256, 21) (dual of [65560, 65512, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(25654, 65566, F256, 23) (dual of [65566, 65512, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(25660, 65572, F256, 25) (dual of [65572, 65512, 26]-code) | [i] | ✔ | |