Information on Result #616677
Linear OA(16123, 256, F16, 74) (dual of [256, 133, 75]-code), using an extension Ce(73) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,73], and designed minimum distance d ≥ |I|+1 = 74
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(4246, 512, F4, 74) (dual of [512, 266, 75]-code) | [i] | Trace Code | |
| 2 | Linear OA(16125, 258, F16, 75) (dual of [258, 133, 76]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(16123, 258, F16, 74) (dual of [258, 135, 75]-code) | [i] | ✔ | |
| 4 | Linear OA(16128, 261, F16, 76) (dual of [261, 133, 77]-code) | [i] | ✔ | |
| 5 | Linear OA(16124, 261, F16, 74) (dual of [261, 137, 75]-code) | [i] | ✔ | |
| 6 | Linear OA(16125, 264, F16, 74) (dual of [264, 139, 75]-code) | [i] | ✔ | |
| 7 | Linear OA(16126, 267, F16, 74) (dual of [267, 141, 75]-code) | [i] | ✔ | |
| 8 | Linear OA(16127, 270, F16, 74) (dual of [270, 143, 75]-code) | [i] | ✔ | |
| 9 | Linear OA(16128, 272, F16, 74) (dual of [272, 144, 75]-code) | [i] | ✔ | |