Information on Result #711682
Linear OA(586, 624, F5, 27) (dual of [624, 538, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(586, 589, F5, 2, 27) (dual of [(589, 2), 1092, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(586, 589, F5, 3, 27) (dual of [(589, 3), 1681, 28]-NRT-code) | [i] | ||
| 3 | Digital (59, 86, 589)-net over F5 | [i] | ||
| 4 | Linear OA(593, 637, F5, 29) (dual of [637, 544, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5112, 655, F5, 33) (dual of [655, 543, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(5111, 652, F5, 33) (dual of [652, 541, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(5119, 662, F5, 34) (dual of [662, 543, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(5117, 656, F5, 34) (dual of [656, 539, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(5110, 649, F5, 33) (dual of [649, 539, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5116, 653, F5, 34) (dual of [653, 537, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(5121, 656, F5, 36) (dual of [656, 535, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(5127, 660, F5, 37) (dual of [660, 533, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(5134, 665, F5, 38) (dual of [665, 531, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(5132, 665, F5, 38) (dual of [665, 533, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(5140, 672, F5, 39) (dual of [672, 532, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(5139, 670, F5, 39) (dual of [670, 531, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(5147, 679, F5, 40) (dual of [679, 532, 41]-code) | [i] | ✔ | |