Information on Result #705982
Linear OA(4137, 255, F4, 51) (dual of [255, 118, 52]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,101}, and designed minimum distance d ≥ |I|+1 = 52
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4137, 257, F4, 51) (dual of [257, 120, 52]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4148, 283, F4, 51) (dual of [283, 135, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(4147, 279, F4, 51) (dual of [279, 132, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(4147, 275, F4, 52) (dual of [275, 128, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(4146, 273, F4, 52) (dual of [273, 127, 53]-code) | [i] | ✔ | |
| 6 | Linear OA(4145, 269, F4, 52) (dual of [269, 124, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(4141, 265, F4, 51) (dual of [265, 124, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(4140, 263, F4, 51) (dual of [263, 123, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(4139, 259, F4, 52) (dual of [259, 120, 53]-code) | [i] | ✔ | |
| 10 | Linear OA(4151, 271, F4, 55) (dual of [271, 120, 56]-code) | [i] | ✔ | |
| 11 | Linear OOA(4137, 85, F4, 3, 51) (dual of [(85, 3), 118, 52]-NRT-code) | [i] | OOA Folding | |