Information on Result #692649
Linear OA(1673, 256, F16, 41) (dual of [256, 183, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(1675, 258, F16, 42) (dual of [258, 183, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1673, 258, F16, 41) (dual of [258, 185, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(1681, 264, F16, 44) (dual of [264, 183, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(1675, 264, F16, 41) (dual of [264, 189, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(1687, 270, F16, 46) (dual of [270, 183, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(1677, 270, F16, 41) (dual of [270, 193, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(1697, 280, F16, 51) (dual of [280, 183, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(16100, 283, F16, 52) (dual of [283, 183, 53]-code) | [i] | ✔ | |
| 9 | Linear OA(16103, 286, F16, 53) (dual of [286, 183, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(16106, 289, F16, 54) (dual of [289, 183, 55]-code) | [i] | ✔ | |
| 11 | Linear OA(1699, 281, F16, 52) (dual of [281, 182, 53]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(1697, 281, F16, 50) (dual of [281, 184, 51]-code) | [i] | ✔ | |