Information on Result #616425
Linear OA(1648, 256, F16, 26) (dual of [256, 208, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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, 258, F16, 27) (dual of [258, 208, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1648, 258, F16, 26) (dual of [258, 210, 27]-code) | [i] | ✔ | |
| 3 | Linear OA(1653, 261, F16, 28) (dual of [261, 208, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(1649, 261, F16, 26) (dual of [261, 212, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(1656, 264, F16, 29) (dual of [264, 208, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(1650, 264, F16, 26) (dual of [264, 214, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(1659, 267, F16, 30) (dual of [267, 208, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(1651, 267, F16, 26) (dual of [267, 216, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(1667, 274, F16, 34) (dual of [274, 207, 35]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |