Information on Result #711230
Linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,17}, and designed minimum distance d ≥ |I|+1 = 24
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(573, 527, F5, 2, 23) (dual of [(527, 2), 981, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(573, 527, F5, 3, 23) (dual of [(527, 3), 1508, 24]-NRT-code) | [i] | ||
3 | Digital (50, 73, 527)-net over F5 | [i] | ||
4 | Linear OA(583, 659, F5, 23) (dual of [659, 576, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(582, 657, F5, 23) (dual of [657, 575, 24]-code) | [i] | ✔ | |
6 | Linear OA(581, 654, F5, 23) (dual of [654, 573, 24]-code) | [i] | ✔ | |
7 | Linear OA(584, 663, F5, 23) (dual of [663, 579, 24]-code) | [i] | ✔ | |
8 | Linear OA(583, 660, F5, 23) (dual of [660, 577, 24]-code) | [i] | ✔ | |
9 | Linear OA(581, 656, F5, 23) (dual of [656, 575, 24]-code) | [i] | ✔ | |
10 | Linear OA(580, 653, F5, 23) (dual of [653, 573, 24]-code) | [i] | ✔ | |
11 | Linear OA(579, 648, F5, 23) (dual of [648, 569, 24]-code) | [i] | ✔ | |
12 | Linear OA(583, 648, F5, 24) (dual of [648, 565, 25]-code) | [i] | ✔ | |
13 | Linear OA(591, 656, F5, 26) (dual of [656, 565, 27]-code) | [i] | ✔ | |
14 | Linear OA(588, 655, F5, 25) (dual of [655, 567, 26]-code) | [i] | ✔ | |
15 | Linear OA(590, 655, F5, 26) (dual of [655, 565, 27]-code) | [i] | ✔ | |
16 | Linear OA(596, 663, F5, 27) (dual of [663, 567, 28]-code) | [i] | ✔ | |
17 | Linear OA(595, 660, F5, 27) (dual of [660, 565, 28]-code) | [i] | ✔ |