Information on Result #616523
Linear OA(1667, 256, F16, 38) (dual of [256, 189, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(4134, 512, F4, 38) (dual of [512, 378, 39]-code) | [i] | Trace Code | |
| 2 | Linear OA(1669, 258, F16, 39) (dual of [258, 189, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(1667, 258, F16, 38) (dual of [258, 191, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(1672, 261, F16, 40) (dual of [261, 189, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(1668, 261, F16, 38) (dual of [261, 193, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(1675, 264, F16, 41) (dual of [264, 189, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(1669, 264, F16, 38) (dual of [264, 195, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(1678, 267, F16, 42) (dual of [267, 189, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(1670, 266, F16, 38) (dual of [266, 196, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(1681, 270, F16, 43) (dual of [270, 189, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(1673, 271, F16, 38) (dual of [271, 198, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(1684, 273, F16, 44) (dual of [273, 189, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(1674, 273, F16, 38) (dual of [273, 199, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(1675, 275, F16, 38) (dual of [275, 200, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(1688, 277, F16, 45) (dual of [277, 189, 46]-code) | [i] | ✔ | |
| 16 | Linear OA(1691, 280, F16, 46) (dual of [280, 189, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(16101, 289, F16, 51) (dual of [289, 188, 52]-code) | [i] | ✔ | |