Information on Result #616574
Linear OA(1679, 256, F16, 44) (dual of [256, 177, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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(4158, 512, F4, 44) (dual of [512, 354, 45]-code) | [i] | Trace Code | |
| 2 | Linear OA(1681, 258, F16, 45) (dual of [258, 177, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(1679, 258, F16, 44) (dual of [258, 179, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(1684, 261, F16, 46) (dual of [261, 177, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(1680, 261, F16, 44) (dual of [261, 181, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(1687, 264, F16, 47) (dual of [264, 177, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(1681, 264, F16, 44) (dual of [264, 183, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(1693, 270, F16, 51) (dual of [270, 177, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(1682, 267, F16, 44) (dual of [267, 185, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(1695, 272, F16, 52) (dual of [272, 177, 53]-code) | [i] | ✔ | |
| 11 | Linear OA(1683, 270, F16, 44) (dual of [270, 187, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(1699, 276, F16, 53) (dual of [276, 177, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(1684, 273, F16, 44) (dual of [273, 189, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(16102, 279, F16, 54) (dual of [279, 177, 55]-code) | [i] | ✔ | |
| 15 | Linear OA(1686, 277, F16, 44) (dual of [277, 191, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(16106, 283, F16, 55) (dual of [283, 177, 56]-code) | [i] | ✔ | |
| 17 | Linear OA(1687, 280, F16, 44) (dual of [280, 193, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(16109, 286, F16, 56) (dual of [286, 177, 57]-code) | [i] | ✔ | |
| 19 | Linear OA(16112, 289, F16, 57) (dual of [289, 177, 58]-code) | [i] | ✔ | |
| 20 | Linear OA(16105, 281, F16, 55) (dual of [281, 176, 56]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(16103, 281, F16, 54) (dual of [281, 178, 55]-code) | [i] | ✔ | |
| 22 | Linear OA(1698, 274, F16, 53) (dual of [274, 176, 54]-code) | [i] | ✔ | |
| 23 | Linear OA(1696, 274, F16, 52) (dual of [274, 178, 53]-code) | [i] | ✔ | |