Information on Result #710836
Linear OA(525, 624, F5, 8) (dual of [624, 599, 9]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {149,150,…,156}, and designed minimum distance d ≥ |I|+1 = 9
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 Expurgated Narrow-Sense BCH-Codes [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(525, 464, F5, 2, 8) (dual of [(464, 2), 903, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(525, 464, F5, 3, 8) (dual of [(464, 3), 1367, 9]-NRT-code) | [i] | ||
| 3 | Digital (17, 25, 464)-net over F5 | [i] | ||
| 4 | Linear OA(533, 644, F5, 9) (dual of [644, 611, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(540, 639, F5, 12) (dual of [639, 599, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(539, 634, F5, 12) (dual of [634, 595, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(545, 644, F5, 13) (dual of [644, 599, 14]-code) | [i] | ✔ | |