Information on Result #711596
Linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(582, 545, F5, 2, 26) (dual of [(545, 2), 1008, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(582, 545, F5, 3, 26) (dual of [(545, 3), 1553, 27]-NRT-code) | [i] | ||
| 3 | Digital (56, 82, 545)-net over F5 | [i] | ||
| 4 | Linear OA(5117, 677, F5, 32) (dual of [677, 560, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5116, 675, F5, 32) (dual of [675, 559, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(5115, 672, F5, 32) (dual of [672, 557, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(5103, 655, F5, 30) (dual of [655, 552, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5123, 682, F5, 33) (dual of [682, 559, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(5122, 679, F5, 33) (dual of [679, 557, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5114, 670, F5, 32) (dual of [670, 556, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(5113, 668, F5, 32) (dual of [668, 555, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(5112, 665, F5, 32) (dual of [665, 553, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(5121, 677, F5, 33) (dual of [677, 556, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(5120, 675, F5, 33) (dual of [675, 555, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(5119, 672, F5, 33) (dual of [672, 553, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(5111, 662, F5, 32) (dual of [662, 551, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(5110, 659, F5, 32) (dual of [659, 549, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(5127, 680, F5, 34) (dual of [680, 553, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(5125, 674, F5, 34) (dual of [674, 549, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(5123, 668, F5, 34) (dual of [668, 545, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(5110, 649, F5, 33) (dual of [649, 539, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(5116, 653, F5, 34) (dual of [653, 537, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(5116, 657, F5, 34) (dual of [657, 541, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(5115, 654, F5, 34) (dual of [654, 539, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(5123, 664, F5, 35) (dual of [664, 541, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(5122, 661, F5, 35) (dual of [661, 539, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(5121, 658, F5, 35) (dual of [658, 537, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(5115, 657, F5, 34) (dual of [657, 542, 35]-code) | [i] | ✔ | |
| 29 | Linear OA(5124, 666, F5, 36) (dual of [666, 542, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(5122, 664, F5, 35) (dual of [664, 542, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(5123, 664, F5, 36) (dual of [664, 541, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(5122, 661, F5, 36) (dual of [661, 539, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(5131, 673, F5, 37) (dual of [673, 542, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(5130, 671, F5, 37) (dual of [671, 541, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(5129, 668, F5, 37) (dual of [668, 539, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(5128, 665, F5, 37) (dual of [665, 537, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(5137, 676, F5, 38) (dual of [676, 539, 39]-code) | [i] | ✔ | |
| 38 | Linear OA(5136, 672, F5, 38) (dual of [672, 536, 39]-code) | [i] | ✔ | |
| 39 | Linear OA(5135, 670, F5, 38) (dual of [670, 535, 39]-code) | [i] | ✔ | |
| 40 | Linear OA(5144, 683, F5, 39) (dual of [683, 539, 40]-code) | [i] | ✔ | |