Information on Result #711465
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 = {128,129,…,157}, 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(5107, 661, F5, 30) (dual of [661, 554, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5105, 655, F5, 30) (dual of [655, 550, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(5107, 662, F5, 30) (dual of [662, 555, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(5105, 656, F5, 30) (dual of [656, 551, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5104, 653, F5, 30) (dual of [653, 549, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(5104, 654, F5, 30) (dual of [654, 550, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(5103, 651, F5, 30) (dual of [651, 548, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(5104, 655, F5, 30) (dual of [655, 551, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(5103, 652, F5, 30) (dual of [652, 549, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(5102, 649, F5, 30) (dual of [649, 547, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(5102, 650, F5, 30) (dual of [650, 548, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(5101, 648, F5, 30) (dual of [648, 547, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(5123, 674, F5, 34) (dual of [674, 551, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(5122, 671, F5, 34) (dual of [671, 549, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(5100, 633, F5, 32) (dual of [633, 533, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(5106, 639, F5, 33) (dual of [639, 533, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(5112, 649, F5, 34) (dual of [649, 537, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(5111, 644, F5, 34) (dual of [644, 533, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(5119, 656, F5, 35) (dual of [656, 537, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(5118, 653, F5, 35) (dual of [653, 535, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(5127, 661, F5, 37) (dual of [661, 534, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(5126, 658, F5, 37) (dual of [658, 532, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(5134, 666, F5, 38) (dual of [666, 532, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(5126, 659, F5, 37) (dual of [659, 533, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(5125, 656, F5, 37) (dual of [656, 531, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(5124, 653, F5, 37) (dual of [653, 529, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(5133, 664, F5, 38) (dual of [664, 531, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(5116, 645, F5, 36) (dual of [645, 529, 37]-code) | [i] | ✔ | |