Information on Result #711353
Linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,162}, and designed minimum distance d ≥ |I|+1 = 26
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(581, 621, F5, 2, 25) (dual of [(621, 2), 1161, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(581, 621, F5, 3, 25) (dual of [(621, 3), 1782, 26]-NRT-code) | [i] | ||
| 3 | Digital (56, 81, 621)-net over F5 | [i] | ||
| 4 | Linear OA(591, 662, F5, 25) (dual of [662, 571, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(590, 659, F5, 25) (dual of [659, 569, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(589, 656, F5, 25) (dual of [656, 567, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(588, 653, F5, 25) (dual of [653, 565, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(5123, 680, F5, 33) (dual of [680, 557, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(5122, 677, F5, 33) (dual of [677, 555, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5120, 673, F5, 33) (dual of [673, 553, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(5121, 676, F5, 33) (dual of [676, 555, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(5117, 666, F5, 33) (dual of [666, 549, 34]-code) | [i] | ✔ | |