Information on Result #711121
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 = {−7,−6,…,15}, 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(589, 670, F5, 23) (dual of [670, 581, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(589, 675, F5, 23) (dual of [675, 586, 24]-code) | [i] | ✔ | |
6 | Linear OA(588, 671, F5, 23) (dual of [671, 583, 24]-code) | [i] | ✔ | |
7 | Linear OA(587, 668, F5, 23) (dual of [668, 581, 24]-code) | [i] | ✔ | |
8 | Linear OA(586, 664, F5, 23) (dual of [664, 578, 24]-code) | [i] | ✔ | |
9 | Linear OA(589, 663, F5, 24) (dual of [663, 574, 25]-code) | [i] | ✔ | |
10 | Linear OA(588, 659, F5, 24) (dual of [659, 571, 25]-code) | [i] | ✔ | |
11 | Linear OA(587, 656, F5, 24) (dual of [656, 569, 25]-code) | [i] | ✔ | |
12 | Linear OA(594, 663, F5, 25) (dual of [663, 569, 26]-code) | [i] | ✔ | |
13 | Linear OA(594, 668, F5, 25) (dual of [668, 574, 26]-code) | [i] | ✔ | |
14 | Linear OA(593, 664, F5, 25) (dual of [664, 571, 26]-code) | [i] | ✔ | |
15 | Linear OA(592, 661, F5, 25) (dual of [661, 569, 26]-code) | [i] | ✔ |