Information on Result #613959
Linear OA(565, 125, F5, 33) (dual of [125, 60, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(568, 128, F5, 34) (dual of [128, 60, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(565, 128, F5, 33) (dual of [128, 63, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(572, 132, F5, 35) (dual of [132, 60, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(575, 135, F5, 37) (dual of [135, 60, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(573, 131, F5, 36) (dual of [131, 58, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(566, 130, F5, 33) (dual of [130, 64, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(580, 140, F5, 38) (dual of [140, 60, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(576, 141, F5, 33) (dual of [141, 65, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(577, 144, F5, 33) (dual of [144, 67, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(584, 144, F5, 39) (dual of [144, 60, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(578, 148, F5, 33) (dual of [148, 70, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(592, 152, F5, 42) (dual of [152, 60, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(590, 150, F5, 41) (dual of [150, 60, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(579, 152, F5, 33) (dual of [152, 73, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(580, 155, F5, 33) (dual of [155, 75, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(591, 149, F5, 42) (dual of [149, 58, 43]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(588, 146, F5, 40) (dual of [146, 58, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(590, 151, F5, 40) (dual of [151, 61, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(585, 146, F5, 39) (dual of [146, 61, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(579, 137, F5, 38) (dual of [137, 58, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(574, 132, F5, 37) (dual of [132, 58, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(576, 137, F5, 37) (dual of [137, 61, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(573, 134, F5, 35) (dual of [134, 61, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(576, 142, F5, 33) (dual of [142, 66, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(575, 140, F5, 33) (dual of [140, 65, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(576, 143, F5, 33) (dual of [143, 67, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(575, 141, F5, 33) (dual of [141, 66, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(573, 138, F5, 33) (dual of [138, 65, 34]-code) | [i] | ✔ | |