Information on Result #710054
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 = {−10,−9,…,31}, 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(597, 156, F5, 43) (dual of [156, 59, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(596, 155, F5, 43) (dual of [155, 59, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(5101, 160, F5, 44) (dual of [160, 59, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(5100, 159, F5, 44) (dual of [159, 59, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(5109, 168, F5, 47) (dual of [168, 59, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(5107, 166, F5, 46) (dual of [166, 59, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(5107, 169, F5, 45) (dual of [169, 62, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(5105, 165, F5, 45) (dual of [165, 60, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(5108, 167, F5, 47) (dual of [167, 59, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(5106, 165, F5, 46) (dual of [165, 59, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(5112, 171, F5, 48) (dual of [171, 59, 49]-code) | [i] | ✔ | |
| 12 | Linear OOA(580, 62, F5, 2, 42) (dual of [(62, 2), 44, 43]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(580, 41, F5, 3, 42) (dual of [(41, 3), 43, 43]-NRT-code) | [i] | ||