Information on Result #711084
Linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,157}, and designed minimum distance d ≥ |I|+1 = 23
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]
- 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(569, 481, F5, 2, 22) (dual of [(481, 2), 893, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(569, 481, F5, 3, 22) (dual of [(481, 3), 1374, 23]-NRT-code) | [i] | ||
| 3 | Digital (47, 69, 481)-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(583, 664, F5, 22) (dual of [664, 581, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(581, 661, F5, 22) (dual of [661, 580, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(580, 658, F5, 22) (dual of [658, 578, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(580, 659, F5, 22) (dual of [659, 579, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(579, 656, F5, 22) (dual of [656, 577, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(578, 653, F5, 22) (dual of [653, 575, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(577, 653, F5, 22) (dual of [653, 576, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(574, 646, F5, 22) (dual of [646, 572, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(573, 644, F5, 22) (dual of [644, 571, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(572, 639, F5, 22) (dual of [639, 567, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(571, 634, F5, 22) (dual of [634, 563, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(570, 633, F5, 22) (dual of [633, 563, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(589, 656, F5, 26) (dual of [656, 567, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(588, 651, F5, 26) (dual of [651, 563, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(586, 645, F5, 26) (dual of [645, 559, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(597, 657, F5, 28) (dual of [657, 560, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(596, 654, F5, 28) (dual of [654, 558, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(595, 651, F5, 28) (dual of [651, 556, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(5104, 664, F5, 29) (dual of [664, 560, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(5103, 661, F5, 29) (dual of [661, 558, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(5101, 655, F5, 29) (dual of [655, 554, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(596, 655, F5, 28) (dual of [655, 559, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(595, 652, F5, 28) (dual of [652, 557, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(594, 649, F5, 28) (dual of [649, 555, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(5103, 662, F5, 29) (dual of [662, 559, 30]-code) | [i] | ✔ | |
| 30 | Linear OA(5101, 656, F5, 29) (dual of [656, 555, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(5100, 653, F5, 29) (dual of [653, 553, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(5112, 667, F5, 32) (dual of [667, 555, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(5111, 664, F5, 32) (dual of [664, 553, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(5110, 661, F5, 32) (dual of [661, 551, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(5119, 674, F5, 33) (dual of [674, 555, 34]-code) | [i] | ✔ | |
| 36 | Linear OA(5118, 671, F5, 33) (dual of [671, 553, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(5117, 668, F5, 33) (dual of [668, 551, 34]-code) | [i] | ✔ | |
| 38 | Linear OA(5116, 665, F5, 33) (dual of [665, 549, 34]-code) | [i] | ✔ | |