Information on Result #614057
Linear OA(586, 125, F5, 44) (dual of [125, 39, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(591, 130, F5, 47) (dual of [130, 39, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(586, 128, F5, 44) (dual of [128, 42, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(596, 135, F5, 48) (dual of [135, 39, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(587, 132, F5, 44) (dual of [132, 45, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(592, 140, F5, 44) (dual of [140, 48, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(593, 144, F5, 44) (dual of [144, 51, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(595, 149, F5, 44) (dual of [149, 54, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(599, 136, F5, 49) (dual of [136, 37, 50]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(595, 132, F5, 48) (dual of [132, 37, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(597, 137, F5, 48) (dual of [137, 40, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(592, 132, F5, 47) (dual of [132, 40, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(591, 138, F5, 44) (dual of [138, 47, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(590, 136, F5, 44) (dual of [136, 46, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(594, 146, F5, 44) (dual of [146, 52, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(5101, 156, F5, 44) (dual of [156, 55, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(598, 153, F5, 44) (dual of [153, 55, 45]-code) | [i] | ✔ | |