Information on Result #711126
Linear OA(549, 624, F5, 15) (dual of [624, 575, 16]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,157}, and designed minimum distance d ≥ |I|+1 = 16
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(549, 531, F5, 2, 15) (dual of [(531, 2), 1013, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(549, 531, F5, 3, 15) (dual of [(531, 3), 1544, 16]-NRT-code) | [i] | ||
3 | Digital (34, 49, 531)-net over F5 | [i] | ||
4 | Linear OA(554, 633, F5, 17) (dual of [633, 579, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(568, 655, F5, 19) (dual of [655, 587, 20]-code) | [i] | ✔ | |
6 | Linear OA(560, 639, F5, 18) (dual of [639, 579, 19]-code) | [i] | ✔ | |
7 | Linear OA(566, 649, F5, 19) (dual of [649, 583, 20]-code) | [i] | ✔ | |
8 | Linear OA(575, 662, F5, 20) (dual of [662, 587, 21]-code) | [i] | ✔ | |
9 | Linear OA(574, 659, F5, 20) (dual of [659, 585, 21]-code) | [i] | ✔ | |
10 | Linear OA(565, 644, F5, 19) (dual of [644, 579, 20]-code) | [i] | ✔ | |
11 | Linear OA(573, 656, F5, 20) (dual of [656, 583, 21]-code) | [i] | ✔ | |
12 | Linear OA(572, 653, F5, 20) (dual of [653, 581, 21]-code) | [i] | ✔ | |
13 | Linear OA(581, 661, F5, 22) (dual of [661, 580, 23]-code) | [i] | ✔ | |
14 | Linear OA(580, 658, F5, 22) (dual of [658, 578, 23]-code) | [i] | ✔ | |
15 | Linear OA(588, 666, F5, 23) (dual of [666, 578, 24]-code) | [i] | ✔ | |
16 | Linear OA(580, 659, F5, 22) (dual of [659, 579, 23]-code) | [i] | ✔ | |
17 | Linear OA(579, 656, F5, 22) (dual of [656, 577, 23]-code) | [i] | ✔ | |
18 | Linear OA(578, 653, F5, 22) (dual of [653, 575, 23]-code) | [i] | ✔ | |
19 | Linear OA(570, 645, F5, 21) (dual of [645, 575, 22]-code) | [i] | ✔ |