Information on Result #616376
Linear OA(1640, 256, F16, 22) (dual of [256, 216, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(1642, 258, F16, 23) (dual of [258, 216, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1640, 258, F16, 22) (dual of [258, 218, 23]-code) | [i] | ✔ | |
| 3 | Linear OA(1645, 261, F16, 24) (dual of [261, 216, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(1641, 261, F16, 22) (dual of [261, 220, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(1648, 264, F16, 25) (dual of [264, 216, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(1642, 264, F16, 22) (dual of [264, 222, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(1651, 267, F16, 26) (dual of [267, 216, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(1643, 267, F16, 22) (dual of [267, 224, 23]-code) | [i] | ✔ | |