Information on Result #711725
Linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29
Mode: Constructive and linear.
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]
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(597, 640, F5, 30) (dual of [640, 543, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(591, 632, F5, 29) (dual of [632, 541, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(5131, 682, F5, 35) (dual of [682, 551, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(5130, 679, F5, 35) (dual of [679, 549, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(5122, 672, F5, 34) (dual of [672, 550, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(596, 637, F5, 30) (dual of [637, 541, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(5129, 679, F5, 35) (dual of [679, 550, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(5127, 672, F5, 35) (dual of [672, 545, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(5127, 673, F5, 35) (dual of [673, 546, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(5111, 654, F5, 33) (dual of [654, 543, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(5110, 651, F5, 33) (dual of [651, 541, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(5117, 659, F5, 34) (dual of [659, 542, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(5116, 655, F5, 34) (dual of [655, 539, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(5115, 652, F5, 34) (dual of [652, 537, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(5109, 648, F5, 33) (dual of [648, 539, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(5124, 666, F5, 35) (dual of [666, 542, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(5123, 662, F5, 35) (dual of [662, 539, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(5116, 656, F5, 34) (dual of [656, 540, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(5114, 649, F5, 34) (dual of [649, 535, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(5123, 663, F5, 35) (dual of [663, 540, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(5121, 656, F5, 35) (dual of [656, 535, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(595, 632, F5, 30) (dual of [632, 537, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(5113, 648, F5, 34) (dual of [648, 535, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(5118, 655, F5, 35) (dual of [655, 537, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(5120, 655, F5, 36) (dual of [655, 535, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(5140, 671, F5, 39) (dual of [671, 531, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(5126, 663, F5, 37) (dual of [663, 537, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(5125, 660, F5, 37) (dual of [660, 535, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(5133, 670, F5, 38) (dual of [670, 537, 39]-code) | [i] | ✔ | |
| 33 | Linear OA(5132, 668, F5, 38) (dual of [668, 536, 39]-code) | [i] | ✔ | |
| 34 | Linear OA(5139, 675, F5, 39) (dual of [675, 536, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(5138, 671, F5, 39) (dual of [671, 533, 40]-code) | [i] | ✔ | |
| 36 | Linear OA(5137, 668, F5, 39) (dual of [668, 531, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(5145, 676, F5, 40) (dual of [676, 531, 41]-code) | [i] | ✔ | |
| 38 | Linear OA(5140, 677, F5, 39) (dual of [677, 537, 40]-code) | [i] | ✔ | |
| 39 | Linear OA(5146, 682, F5, 40) (dual of [682, 536, 41]-code) | [i] | ✔ | |
| 40 | Linear OA(5145, 678, F5, 40) (dual of [678, 533, 41]-code) | [i] | ✔ | |
| 41 | Linear OA(5147, 684, F5, 40) (dual of [684, 537, 41]-code) | [i] | ✔ | |