Information on Result #710997
Linear OA(557, 624, F5, 18) (dual of [624, 567, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−7,−6,…,10}, and designed minimum distance d ≥ |I|+1 = 19
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 Expurgated Narrow-Sense BCH-Codes [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]
- 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(557, 465, F5, 2, 18) (dual of [(465, 2), 873, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(557, 465, F5, 3, 18) (dual of [(465, 3), 1338, 19]-NRT-code) | [i] | ||
| 3 | Digital (39, 57, 465)-net over F5 | [i] | ||
| 4 | Linear OA(573, 663, F5, 19) (dual of [663, 590, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(571, 656, F5, 19) (dual of [656, 585, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(577, 664, F5, 20) (dual of [664, 587, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(576, 661, F5, 20) (dual of [661, 585, 21]-code) | [i] | ✔ | |