Information on Result #709730
Linear OA(516, 124, F5, 7) (dual of [124, 108, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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
- 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 OOA(516, 79, F5, 2, 7) (dual of [(79, 2), 142, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(516, 79, F5, 3, 7) (dual of [(79, 3), 221, 8]-NRT-code) | [i] | ||
| 3 | Digital (9, 16, 79)-net over F5 | [i] | ||
| 4 | Linear OA(518, 133, F5, 7) (dual of [133, 115, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(519, 130, F5, 8) (dual of [130, 111, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(523, 134, F5, 9) (dual of [134, 111, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(528, 139, F5, 10) (dual of [139, 111, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(534, 145, F5, 12) (dual of [145, 111, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(522, 130, F5, 9) (dual of [130, 108, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(526, 134, F5, 10) (dual of [134, 108, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(5150, 78190, F5, 24) (dual of [78190, 78040, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |