Information on Result #711274
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 = {−6,−5,…,18}, 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(595, 670, F5, 25) (dual of [670, 575, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(591, 658, F5, 25) (dual of [658, 567, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(594, 669, F5, 25) (dual of [669, 575, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(593, 667, F5, 25) (dual of [667, 574, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(592, 663, F5, 25) (dual of [663, 571, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(591, 660, F5, 25) (dual of [660, 569, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(591, 661, F5, 25) (dual of [661, 570, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(590, 657, F5, 25) (dual of [657, 567, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(589, 654, F5, 25) (dual of [654, 565, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(595, 657, F5, 27) (dual of [657, 562, 28]-code) | [i] | ✔ | |