Information on Result #710144
Linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,36}, and designed minimum distance d ≥ |I|+1 = 44
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 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(599, 163, F5, 43) (dual of [163, 64, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(598, 161, F5, 43) (dual of [161, 63, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(597, 160, F5, 43) (dual of [160, 63, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(596, 158, F5, 43) (dual of [158, 62, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(594, 153, F5, 43) (dual of [153, 59, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(592, 148, F5, 43) (dual of [148, 56, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(593, 146, F5, 44) (dual of [146, 53, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(597, 150, F5, 45) (dual of [150, 53, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(5107, 161, F5, 48) (dual of [161, 54, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(5105, 158, F5, 48) (dual of [158, 53, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(5109, 162, F5, 49) (dual of [162, 53, 50]-code) | [i] | ✔ | |