Information on Result #710142
Linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, 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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(594, 158, F5, 42) (dual of [158, 64, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(593, 156, F5, 42) (dual of [156, 63, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(591, 154, F5, 41) (dual of [154, 63, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(591, 151, F5, 42) (dual of [151, 60, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(589, 146, F5, 42) (dual of [146, 57, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(586, 143, F5, 40) (dual of [143, 57, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(592, 154, F5, 42) (dual of [154, 62, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(590, 152, F5, 41) (dual of [152, 62, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(589, 148, F5, 41) (dual of [148, 59, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(590, 149, F5, 42) (dual of [149, 59, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(588, 147, F5, 41) (dual of [147, 59, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(588, 144, F5, 42) (dual of [144, 56, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(586, 142, F5, 41) (dual of [142, 56, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(589, 142, F5, 43) (dual of [142, 53, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(588, 138, F5, 43) (dual of [138, 50, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(594, 148, F5, 44) (dual of [148, 54, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(592, 142, F5, 44) (dual of [142, 50, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(5102, 156, F5, 47) (dual of [156, 54, 48]-code) | [i] | ✔ | |
| 19 | Linear OA(5100, 154, F5, 46) (dual of [154, 54, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(5101, 154, F5, 47) (dual of [154, 53, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(599, 152, F5, 46) (dual of [152, 53, 47]-code) | [i] | ✔ | |
| 22 | Linear OA(598, 148, F5, 46) (dual of [148, 50, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(5106, 160, F5, 48) (dual of [160, 54, 49]-code) | [i] | ✔ | |
| 24 | Linear OOA(580, 62, F5, 2, 42) (dual of [(62, 2), 44, 43]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(580, 41, F5, 3, 42) (dual of [(41, 3), 43, 43]-NRT-code) | [i] | ||