Information on Result #711138
Linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {139,140,…,157}, and designed minimum distance d ≥ |I|+1 = 20
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(561, 515, F5, 2, 19) (dual of [(515, 2), 969, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(561, 515, F5, 3, 19) (dual of [(515, 3), 1484, 20]-NRT-code) | [i] | ||
| 3 | Digital (42, 61, 515)-net over F5 | [i] | ||
| 4 | Linear OA(565, 644, F5, 19) (dual of [644, 579, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(578, 646, F5, 23) (dual of [646, 568, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(572, 639, F5, 22) (dual of [639, 567, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(571, 634, F5, 22) (dual of [634, 563, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(578, 649, F5, 23) (dual of [649, 571, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(577, 644, F5, 23) (dual of [644, 567, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(588, 651, F5, 26) (dual of [651, 563, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(593, 656, F5, 27) (dual of [656, 563, 28]-code) | [i] | ✔ | |