Information on Result #711127
Linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,156}, and designed minimum distance d ≥ |I|+1 = 15
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 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(545, 476, F5, 2, 14) (dual of [(476, 2), 907, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(545, 476, F5, 3, 14) (dual of [(476, 3), 1383, 15]-NRT-code) | [i] | ||
| 3 | Digital (31, 45, 476)-net over F5 | [i] | ||
| 4 | Linear OA(554, 633, F5, 17) (dual of [633, 579, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(560, 639, F5, 18) (dual of [639, 579, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(565, 644, F5, 19) (dual of [644, 579, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(580, 659, F5, 22) (dual of [659, 579, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(579, 656, F5, 22) (dual of [656, 577, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(578, 653, F5, 22) (dual of [653, 575, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(585, 664, F5, 23) (dual of [664, 579, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(584, 661, F5, 23) (dual of [661, 577, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(583, 658, F5, 23) (dual of [658, 575, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(590, 663, F5, 24) (dual of [663, 573, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(591, 670, F5, 24) (dual of [670, 579, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(590, 667, F5, 24) (dual of [667, 577, 25]-code) | [i] | ✔ | |