Information on Result #711370
Linear OA(583, 624, F5, 27) (dual of [624, 541, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,156}, and designed minimum distance d ≥ |I|+1 = 28
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(583, 483, F5, 2, 27) (dual of [(483, 2), 883, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(583, 483, F5, 3, 27) (dual of [(483, 3), 1366, 28]-NRT-code) | [i] | ||
| 3 | Digital (56, 83, 483)-net over F5 | [i] | ||
| 4 | Linear OA(5101, 664, F5, 28) (dual of [664, 563, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(597, 654, F5, 28) (dual of [654, 557, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(5106, 669, F5, 29) (dual of [669, 563, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(5104, 663, F5, 29) (dual of [663, 559, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(5102, 659, F5, 29) (dual of [659, 557, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(596, 655, F5, 28) (dual of [655, 559, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(595, 652, F5, 28) (dual of [652, 557, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(594, 649, F5, 28) (dual of [649, 555, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(5110, 669, F5, 30) (dual of [669, 559, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(5108, 665, F5, 30) (dual of [665, 557, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(593, 648, F5, 28) (dual of [648, 555, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(5101, 660, F5, 29) (dual of [660, 559, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(5100, 657, F5, 29) (dual of [657, 557, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(599, 654, F5, 29) (dual of [654, 555, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(591, 642, F5, 28) (dual of [642, 551, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(598, 653, F5, 29) (dual of [653, 555, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(5107, 666, F5, 30) (dual of [666, 559, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(5106, 663, F5, 30) (dual of [663, 557, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(5119, 679, F5, 32) (dual of [679, 560, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(5118, 677, F5, 32) (dual of [677, 559, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(5116, 673, F5, 32) (dual of [673, 557, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(590, 637, F5, 28) (dual of [637, 547, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(589, 634, F5, 28) (dual of [634, 545, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(596, 647, F5, 29) (dual of [647, 551, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(5104, 659, F5, 30) (dual of [659, 555, 31]-code) | [i] | ✔ | |
| 29 | Linear OA(5123, 680, F5, 33) (dual of [680, 557, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(594, 639, F5, 29) (dual of [639, 545, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(5115, 674, F5, 32) (dual of [674, 559, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(5114, 671, F5, 32) (dual of [671, 557, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(5103, 644, F5, 32) (dual of [644, 541, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(5108, 649, F5, 33) (dual of [649, 541, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(5114, 655, F5, 34) (dual of [655, 541, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(5121, 662, F5, 35) (dual of [662, 541, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(5120, 659, F5, 35) (dual of [659, 539, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(5147, 681, F5, 40) (dual of [681, 534, 41]-code) | [i] | ✔ | |