Information on Result #715547
Linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {52,53,…,73}, 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 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]
- 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(858, 434, F8, 2, 22) (dual of [(434, 2), 810, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(858, 434, F8, 3, 22) (dual of [(434, 3), 1244, 23]-NRT-code) | [i] | ||
3 | Digital (36, 58, 434)-net over F8 | [i] | ||
4 | Linear OA(869, 522, F8, 26) (dual of [522, 453, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(874, 527, F8, 27) (dual of [527, 453, 28]-code) | [i] | ✔ | |
6 | Linear OA(873, 524, F8, 27) (dual of [524, 451, 28]-code) | [i] | ✔ | |
7 | Linear OA(879, 532, F8, 28) (dual of [532, 453, 29]-code) | [i] | ✔ | |
8 | Linear OA(878, 528, F8, 28) (dual of [528, 450, 29]-code) | [i] | ✔ | |
9 | Linear OA(883, 536, F8, 29) (dual of [536, 453, 30]-code) | [i] | ✔ | |
10 | Linear OA(873, 526, F8, 27) (dual of [526, 453, 28]-code) | [i] | ✔ | |
11 | Linear OA(878, 531, F8, 28) (dual of [531, 453, 29]-code) | [i] | ✔ | |
12 | Linear OA(877, 528, F8, 28) (dual of [528, 451, 29]-code) | [i] | ✔ | |
13 | Linear OA(887, 540, F8, 30) (dual of [540, 453, 31]-code) | [i] | ✔ |