Information on Result #710863
Linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,7}, and designed minimum distance d ≥ |I|+1 = 14
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 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(541, 420, F5, 2, 13) (dual of [(420, 2), 799, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(541, 420, F5, 3, 13) (dual of [(420, 3), 1219, 14]-NRT-code) | [i] | ||
| 3 | Digital (28, 41, 420)-net over F5 | [i] | ||
| 4 | Linear OA(549, 654, F5, 13) (dual of [654, 605, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(549, 656, F5, 13) (dual of [656, 607, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(548, 653, F5, 13) (dual of [653, 605, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(547, 648, F5, 13) (dual of [648, 601, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(551, 648, F5, 14) (dual of [648, 597, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(559, 656, F5, 16) (dual of [656, 597, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(556, 655, F5, 15) (dual of [655, 599, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(558, 655, F5, 16) (dual of [655, 597, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(564, 663, F5, 17) (dual of [663, 599, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(563, 660, F5, 17) (dual of [660, 597, 18]-code) | [i] | ✔ | |