Information on Result #711363
Linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,157}, and designed minimum distance d ≥ |I|+1 = 29
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(587, 524, F5, 2, 28) (dual of [(524, 2), 961, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(587, 524, F5, 3, 28) (dual of [(524, 3), 1485, 29]-NRT-code) | [i] | ||
| 3 | Digital (59, 87, 524)-net over F5 | [i] | ||
| 4 | Linear OA(5102, 666, F5, 28) (dual of [666, 564, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(598, 656, F5, 28) (dual of [656, 558, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(5101, 664, F5, 28) (dual of [664, 563, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(597, 654, F5, 28) (dual of [654, 557, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(5101, 654, F5, 29) (dual of [654, 553, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(597, 657, F5, 28) (dual of [657, 560, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(596, 654, F5, 28) (dual of [654, 558, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(595, 651, F5, 28) (dual of [651, 556, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(596, 655, F5, 28) (dual of [655, 559, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(595, 652, F5, 28) (dual of [652, 557, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(594, 649, F5, 28) (dual of [649, 555, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(5106, 659, F5, 30) (dual of [659, 553, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(594, 650, F5, 28) (dual of [650, 556, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(593, 648, F5, 28) (dual of [648, 555, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(592, 644, F5, 28) (dual of [644, 552, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(591, 642, F5, 28) (dual of [642, 551, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(5117, 676, F5, 32) (dual of [676, 559, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(5115, 670, F5, 32) (dual of [670, 555, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(5113, 666, F5, 32) (dual of [666, 553, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(590, 636, F5, 28) (dual of [636, 546, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(590, 637, F5, 28) (dual of [637, 547, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(589, 634, F5, 28) (dual of [634, 545, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(5122, 677, F5, 33) (dual of [677, 555, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(5120, 673, F5, 33) (dual of [673, 553, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(5112, 667, F5, 32) (dual of [667, 555, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(5111, 664, F5, 32) (dual of [664, 553, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(5110, 661, F5, 32) (dual of [661, 551, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(5109, 660, F5, 32) (dual of [660, 551, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(5107, 654, F5, 32) (dual of [654, 547, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(5104, 646, F5, 32) (dual of [646, 542, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(5103, 644, F5, 32) (dual of [644, 541, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(5112, 649, F5, 34) (dual of [649, 537, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(5119, 656, F5, 35) (dual of [656, 537, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(5118, 653, F5, 35) (dual of [653, 535, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(5119, 656, F5, 36) (dual of [656, 537, 37]-code) | [i] | ✔ | |