Information on Result #711091
Linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,159}, and designed minimum distance d ≥ |I|+1 = 20
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(561, 515, F5, 2, 19) (dual of [(515, 2), 969, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(561, 515, F5, 3, 19) (dual of [(515, 3), 1484, 20]-NRT-code) | [i] | ||
3 | Digital (42, 61, 515)-net over F5 | [i] | ||
4 | Linear OA(572, 664, F5, 19) (dual of [664, 592, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(567, 634, F5, 21) (dual of [634, 567, 22]-code) | [i] | ✔ | |
6 | Linear OA(588, 664, F5, 24) (dual of [664, 576, 25]-code) | [i] | ✔ | |
7 | Linear OA(595, 671, F5, 25) (dual of [671, 576, 26]-code) | [i] | ✔ | |
8 | Linear OA(595, 672, F5, 25) (dual of [672, 577, 26]-code) | [i] | ✔ | |
9 | Linear OA(597, 672, F5, 26) (dual of [672, 575, 27]-code) | [i] | ✔ | |
10 | Linear OA(596, 671, F5, 26) (dual of [671, 575, 27]-code) | [i] | ✔ | |
11 | Linear OA(595, 668, F5, 26) (dual of [668, 573, 27]-code) | [i] | ✔ | |
12 | Linear OA(594, 665, F5, 26) (dual of [665, 571, 27]-code) | [i] | ✔ | |
13 | Linear OA(593, 660, F5, 26) (dual of [660, 567, 27]-code) | [i] | ✔ | |
14 | Linear OA(592, 657, F5, 26) (dual of [657, 565, 27]-code) | [i] | ✔ | |
15 | Linear OA(591, 654, F5, 26) (dual of [654, 563, 27]-code) | [i] | ✔ | |
16 | Linear OA(5115, 678, F5, 31) (dual of [678, 563, 32]-code) | [i] | ✔ | |
17 | Linear OA(5114, 675, F5, 31) (dual of [675, 561, 32]-code) | [i] | ✔ | |
18 | Linear OA(5111, 672, F5, 30) (dual of [672, 561, 31]-code) | [i] | ✔ |