Information on Result #710929
Linear OA(529, 624, F5, 9) (dual of [624, 595, 10]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {148,149,…,156}, and designed minimum distance d ≥ |I|+1 = 10
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 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(529, 524, F5, 2, 9) (dual of [(524, 2), 1019, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(529, 524, F5, 3, 9) (dual of [(524, 3), 1543, 10]-NRT-code) | [i] | ||
| 3 | Digital (20, 29, 524)-net over F5 | [i] | ||
| 4 | Linear OA(538, 633, F5, 12) (dual of [633, 595, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(544, 639, F5, 13) (dual of [639, 595, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(549, 644, F5, 14) (dual of [644, 595, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(564, 659, F5, 17) (dual of [659, 595, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(563, 656, F5, 17) (dual of [656, 593, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(562, 653, F5, 17) (dual of [653, 591, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(569, 664, F5, 18) (dual of [664, 595, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(568, 661, F5, 18) (dual of [661, 593, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(567, 658, F5, 18) (dual of [658, 591, 19]-code) | [i] | ✔ | |