Information on Result #709807
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 = {20,21,…,32}, 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(536, 142, F5, 13) (dual of [142, 106, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(535, 140, F5, 13) (dual of [140, 105, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(534, 136, F5, 13) (dual of [136, 102, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(548, 150, F5, 17) (dual of [150, 102, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(545, 142, F5, 17) (dual of [142, 97, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(544, 140, F5, 17) (dual of [140, 96, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(551, 144, F5, 19) (dual of [144, 93, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(556, 149, F5, 20) (dual of [149, 93, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(557, 150, F5, 21) (dual of [150, 93, 22]-code) | [i] | ✔ | |