Information on Result #711272
Linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,18}, and designed minimum distance d ≥ |I|+1 = 25
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 Expurgated Narrow-Sense BCH-Codes [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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(577, 574, F5, 2, 24) (dual of [(574, 2), 1071, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(577, 574, F5, 3, 24) (dual of [(574, 3), 1645, 25]-NRT-code) | [i] | ||
3 | Digital (53, 77, 574)-net over F5 | [i] | ||
4 | Linear OA(589, 665, F5, 24) (dual of [665, 576, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(587, 662, F5, 24) (dual of [662, 575, 25]-code) | [i] | ✔ | |
6 | Linear OA(586, 659, F5, 24) (dual of [659, 573, 25]-code) | [i] | ✔ | |
7 | Linear OA(585, 656, F5, 24) (dual of [656, 571, 25]-code) | [i] | ✔ | |
8 | Linear OA(584, 653, F5, 24) (dual of [653, 569, 25]-code) | [i] | ✔ | |
9 | Linear OA(583, 648, F5, 24) (dual of [648, 565, 25]-code) | [i] | ✔ | |
10 | Linear OA(590, 653, F5, 26) (dual of [653, 563, 27]-code) | [i] | ✔ | |
11 | Linear OA(589, 650, F5, 26) (dual of [650, 561, 27]-code) | [i] | ✔ | |
12 | Linear OA(589, 652, F5, 26) (dual of [652, 563, 27]-code) | [i] | ✔ | |
13 | Linear OA(586, 649, F5, 25) (dual of [649, 563, 26]-code) | [i] | ✔ | |
14 | Linear OA(588, 649, F5, 26) (dual of [649, 561, 27]-code) | [i] | ✔ | |
15 | Linear OA(594, 655, F5, 27) (dual of [655, 561, 28]-code) | [i] | ✔ | |
16 | Linear OA(5100, 663, F5, 28) (dual of [663, 563, 29]-code) | [i] | ✔ | |
17 | Linear OA(599, 660, F5, 28) (dual of [660, 561, 29]-code) | [i] | ✔ |