Information on Result #616340
Linear OA(1632, 256, F16, 18) (dual of [256, 224, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(1634, 258, F16, 19) (dual of [258, 224, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1637, 261, F16, 20) (dual of [261, 224, 21]-code) | [i] | ✔ | |
| 3 | Linear OA(1634, 261, F16, 18) (dual of [261, 227, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(1640, 264, F16, 21) (dual of [264, 224, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(1635, 264, F16, 18) (dual of [264, 229, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(1643, 267, F16, 22) (dual of [267, 224, 23]-code) | [i] | ✔ | |
| 7 | Linear OOA(1632, 128, F16, 2, 18) (dual of [(128, 2), 224, 19]-NRT-code) | [i] | OOA Folding | |