Information on Result #706752
Linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43
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 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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4128, 287, F4, 42) (dual of [287, 159, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4127, 287, F4, 42) (dual of [287, 160, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(4126, 285, F4, 42) (dual of [285, 159, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(4125, 283, F4, 42) (dual of [283, 158, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(4124, 281, F4, 42) (dual of [281, 157, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(4128, 282, F4, 43) (dual of [282, 154, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(4127, 280, F4, 43) (dual of [280, 153, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(4136, 291, F4, 44) (dual of [291, 155, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(4133, 287, F4, 44) (dual of [287, 154, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(4132, 285, F4, 44) (dual of [285, 153, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(4143, 298, F4, 46) (dual of [298, 155, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(4142, 295, F4, 46) (dual of [295, 153, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(4140, 294, F4, 46) (dual of [294, 154, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(4139, 292, F4, 46) (dual of [292, 153, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(4146, 299, F4, 47) (dual of [299, 153, 48]-code) | [i] | ✔ | |