Information on Result #711083
Linear OA(564, 624, F5, 20) (dual of [624, 560, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,155}, and designed minimum distance d ≥ |I|+1 = 21
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(564, 516, F5, 2, 20) (dual of [(516, 2), 968, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(564, 516, F5, 3, 20) (dual of [(516, 3), 1484, 21]-NRT-code) | [i] | ||
| 3 | Digital (44, 64, 516)-net over F5 | [i] | ||
| 4 | Linear OA(584, 666, F5, 22) (dual of [666, 582, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(581, 661, F5, 22) (dual of [661, 580, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(580, 658, F5, 22) (dual of [658, 578, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(577, 653, F5, 22) (dual of [653, 576, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(592, 672, F5, 24) (dual of [672, 580, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(591, 669, F5, 24) (dual of [669, 578, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(574, 646, F5, 22) (dual of [646, 572, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(588, 664, F5, 24) (dual of [664, 576, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(597, 657, F5, 28) (dual of [657, 560, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(596, 654, F5, 28) (dual of [654, 558, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(595, 651, F5, 28) (dual of [651, 556, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(5104, 664, F5, 29) (dual of [664, 560, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(5103, 661, F5, 29) (dual of [661, 558, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(5101, 655, F5, 29) (dual of [655, 554, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(5103, 663, F5, 29) (dual of [663, 560, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(5102, 660, F5, 29) (dual of [660, 558, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(5110, 670, F5, 30) (dual of [670, 560, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(5108, 668, F5, 30) (dual of [668, 560, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(5107, 665, F5, 30) (dual of [665, 558, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(5106, 662, F5, 30) (dual of [662, 556, 31]-code) | [i] | ✔ | |
| 24 | Linear OOA(564, 312, F5, 2, 20) (dual of [(312, 2), 560, 21]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(564, 208, F5, 3, 20) (dual of [(208, 3), 560, 21]-NRT-code) | [i] | ||