Information on Result #711419
Linear OA(572, 624, F5, 22) (dual of [624, 552, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(572, 616, F5, 2, 22) (dual of [(616, 2), 1160, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(572, 616, F5, 3, 22) (dual of [(616, 3), 1776, 23]-NRT-code) | [i] | ||
| 3 | Digital (50, 72, 616)-net over F5 | [i] | ||
| 4 | Linear OA(579, 639, F5, 24) (dual of [639, 560, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(598, 657, F5, 28) (dual of [657, 559, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(5107, 656, F5, 31) (dual of [656, 549, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(5103, 655, F5, 30) (dual of [655, 552, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5111, 662, F5, 32) (dual of [662, 551, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(5110, 659, F5, 32) (dual of [659, 549, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(5123, 668, F5, 34) (dual of [668, 545, 35]-code) | [i] | ✔ | |