Information on Result #709846
Linear OA(531, 124, F5, 13) (dual of [124, 93, 14]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−2,−1,…,10}, and designed minimum distance d ≥ |I|+1 = 14
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(531, 93, F5, 2, 13) (dual of [(93, 2), 155, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(531, 93, F5, 3, 13) (dual of [(93, 3), 248, 14]-NRT-code) | [i] | ||
| 3 | Digital (18, 31, 93)-net over F5 | [i] | ||
| 4 | Linear OA(533, 135, F5, 13) (dual of [135, 102, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(535, 134, F5, 14) (dual of [134, 99, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(539, 138, F5, 15) (dual of [138, 99, 16]-code) | [i] | ✔ | |