Information on Result #721987
Linear OA(16100, 255, F16, 58) (dual of [255, 155, 59]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−5,−4,…,52}, and designed minimum distance d ≥ |I|+1 = 59
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16113, 287, F16, 58) (dual of [287, 174, 59]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16112, 284, F16, 58) (dual of [284, 172, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(16111, 282, F16, 58) (dual of [282, 171, 59]-code) | [i] | ✔ | |
| 4 | Linear OA(16110, 280, F16, 58) (dual of [280, 170, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(16106, 275, F16, 58) (dual of [275, 169, 59]-code) | [i] | ✔ | |
| 6 | Linear OA(16104, 271, F16, 58) (dual of [271, 167, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(16106, 271, F16, 59) (dual of [271, 165, 60]-code) | [i] | ✔ | |