Information on Result #711186
Linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(569, 481, F5, 2, 22) (dual of [(481, 2), 893, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(569, 481, F5, 3, 22) (dual of [(481, 3), 1374, 23]-NRT-code) | [i] | ||
3 | Digital (47, 69, 481)-net over F5 | [i] | ||
4 | Linear OA(578, 654, F5, 22) (dual of [654, 576, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(577, 652, F5, 22) (dual of [652, 575, 23]-code) | [i] | ✔ | |
6 | Linear OA(576, 649, F5, 22) (dual of [649, 573, 23]-code) | [i] | ✔ | |
7 | Linear OA(580, 663, F5, 22) (dual of [663, 583, 23]-code) | [i] | ✔ | |
8 | Linear OA(579, 660, F5, 22) (dual of [660, 581, 23]-code) | [i] | ✔ | |
9 | Linear OA(578, 655, F5, 22) (dual of [655, 577, 23]-code) | [i] | ✔ | |
10 | Linear OA(576, 651, F5, 22) (dual of [651, 575, 23]-code) | [i] | ✔ | |
11 | Linear OA(575, 648, F5, 22) (dual of [648, 573, 23]-code) | [i] | ✔ | |
12 | Linear OA(579, 648, F5, 23) (dual of [648, 569, 24]-code) | [i] | ✔ | |
13 | Linear OA(585, 656, F5, 24) (dual of [656, 571, 25]-code) | [i] | ✔ | |
14 | Linear OA(584, 653, F5, 24) (dual of [653, 569, 25]-code) | [i] | ✔ | |
15 | Linear OA(594, 666, F5, 26) (dual of [666, 572, 27]-code) | [i] | ✔ | |
16 | Linear OA(593, 664, F5, 26) (dual of [664, 571, 27]-code) | [i] | ✔ | |
17 | Linear OA(592, 661, F5, 26) (dual of [661, 569, 27]-code) | [i] | ✔ | |
18 | Linear OA(592, 663, F5, 26) (dual of [663, 571, 27]-code) | [i] | ✔ | |
19 | Linear OA(589, 660, F5, 25) (dual of [660, 571, 26]-code) | [i] | ✔ | |
20 | Linear OA(591, 660, F5, 26) (dual of [660, 569, 27]-code) | [i] | ✔ |