Information on Result #711521
Linear OA(597, 624, F5, 31) (dual of [624, 527, 32]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,166}, and designed minimum distance d ≥ |I|+1 = 32
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.
Other Results with Identical Parameters
- 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(597, 582, F5, 2, 31) (dual of [(582, 2), 1067, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(597, 582, F5, 3, 31) (dual of [(582, 3), 1649, 32]-NRT-code) | [i] | ||
| 3 | Digital (66, 97, 582)-net over F5 | [i] | ||
| 4 | Linear OA(5115, 678, F5, 31) (dual of [678, 563, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5114, 675, F5, 31) (dual of [675, 561, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(5111, 672, F5, 30) (dual of [672, 561, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(5112, 671, F5, 31) (dual of [671, 559, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(5111, 668, F5, 31) (dual of [668, 557, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(5110, 665, F5, 31) (dual of [665, 555, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(5138, 687, F5, 37) (dual of [687, 549, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(5137, 683, F5, 37) (dual of [683, 546, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(5136, 681, F5, 37) (dual of [681, 545, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(5135, 682, F5, 37) (dual of [682, 547, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(5134, 679, F5, 37) (dual of [679, 545, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(5142, 689, F5, 38) (dual of [689, 547, 39]-code) | [i] | ✔ | |