Information on Result #711444
Linear OA(595, 624, F5, 30) (dual of [624, 529, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,159}, and designed minimum distance d ≥ |I|+1 = 31
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]
- 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(595, 609, F5, 2, 30) (dual of [(609, 2), 1123, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(595, 609, F5, 3, 30) (dual of [(609, 3), 1732, 31]-NRT-code) | [i] | ||
| 3 | Digital (65, 95, 609)-net over F5 | [i] | ||
| 4 | Linear OA(5109, 667, F5, 30) (dual of [667, 558, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5110, 669, F5, 30) (dual of [669, 559, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(5108, 665, F5, 30) (dual of [665, 557, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(5106, 659, F5, 30) (dual of [659, 553, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5105, 654, F5, 30) (dual of [654, 549, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(5108, 668, F5, 30) (dual of [668, 560, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(5107, 665, F5, 30) (dual of [665, 558, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(5106, 662, F5, 30) (dual of [662, 556, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(5107, 666, F5, 30) (dual of [666, 559, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(5106, 663, F5, 30) (dual of [663, 557, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(5105, 661, F5, 30) (dual of [661, 556, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(5104, 659, F5, 30) (dual of [659, 555, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(5114, 655, F5, 34) (dual of [655, 541, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(5135, 682, F5, 37) (dual of [682, 547, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(5134, 679, F5, 37) (dual of [679, 545, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(5121, 662, F5, 35) (dual of [662, 541, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(5120, 659, F5, 35) (dual of [659, 539, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(5143, 678, F5, 39) (dual of [678, 535, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(5142, 671, F5, 41) (dual of [671, 529, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(5141, 668, F5, 41) (dual of [668, 527, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(5140, 665, F5, 41) (dual of [665, 525, 42]-code) | [i] | ✔ | |