Information on Result #613969
Linear OA(568, 125, F5, 34) (dual of [125, 57, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(573, 130, F5, 37) (dual of [130, 57, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(568, 128, F5, 34) (dual of [128, 60, 35]-code) | [i] | ✔ | |
| 3 | Linear OA(578, 135, F5, 38) (dual of [135, 57, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(569, 132, F5, 34) (dual of [132, 63, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(583, 140, F5, 39) (dual of [140, 57, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(571, 135, F5, 34) (dual of [135, 64, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(590, 147, F5, 42) (dual of [147, 57, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(587, 144, F5, 40) (dual of [144, 57, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(581, 148, F5, 34) (dual of [148, 67, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(595, 152, F5, 43) (dual of [152, 57, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(582, 152, F5, 34) (dual of [152, 70, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(583, 155, F5, 34) (dual of [155, 72, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(5101, 156, F5, 44) (dual of [156, 55, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(598, 153, F5, 44) (dual of [153, 55, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(594, 150, F5, 43) (dual of [150, 56, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(593, 148, F5, 43) (dual of [148, 55, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(588, 144, F5, 41) (dual of [144, 56, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(589, 144, F5, 42) (dual of [144, 55, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(587, 142, F5, 41) (dual of [142, 55, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(591, 149, F5, 42) (dual of [149, 58, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(588, 146, F5, 40) (dual of [146, 58, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(582, 138, F5, 39) (dual of [138, 56, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(581, 136, F5, 39) (dual of [136, 55, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(577, 132, F5, 38) (dual of [132, 55, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(579, 137, F5, 38) (dual of [137, 58, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(574, 132, F5, 37) (dual of [132, 58, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(570, 134, F5, 34) (dual of [134, 64, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(580, 146, F5, 34) (dual of [146, 66, 35]-code) | [i] | ✔ | |
| 29 | Linear OA(579, 144, F5, 34) (dual of [144, 65, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(578, 143, F5, 34) (dual of [143, 65, 35]-code) | [i] | ✔ | |