Information on Result #616363
Linear OA(1638, 256, F16, 21) (dual of [256, 218, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(1640, 258, F16, 22) (dual of [258, 218, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1638, 258, F16, 21) (dual of [258, 220, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(1643, 261, F16, 23) (dual of [261, 218, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(1639, 261, F16, 21) (dual of [261, 222, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(1646, 264, F16, 24) (dual of [264, 218, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(1640, 264, F16, 21) (dual of [264, 224, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(1649, 267, F16, 25) (dual of [267, 218, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(1641, 266, F16, 21) (dual of [266, 225, 22]-code) | [i] | ✔ | |