Information on Result #709721
Linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,62}, and designed minimum distance d ≥ |I|+1 = 38
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(5101, 154, F5, 45) (dual of [154, 53, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
2 | Linear OA(578, 137, F5, 38) (dual of [137, 59, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
3 | Linear OA(577, 133, F5, 38) (dual of [133, 56, 39]-code) | [i] | ✔ | |
4 | Linear OA(576, 132, F5, 38) (dual of [132, 56, 39]-code) | [i] | ✔ | |
5 | Linear OA(580, 136, F5, 39) (dual of [136, 56, 40]-code) | [i] | ✔ | |
6 | Linear OOA(571, 62, F5, 2, 37) (dual of [(62, 2), 53, 38]-NRT-code) | [i] | OOA Folding | |
7 | Linear OOA(571, 41, F5, 3, 37) (dual of [(41, 3), 52, 38]-NRT-code) | [i] |