Information on Result #708096
Linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {315,316,…,341}, and designed minimum distance d ≥ |I|+1 = 28
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(4101, 850, F4, 2, 27) (dual of [(850, 2), 1599, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4101, 850, F4, 3, 27) (dual of [(850, 3), 2449, 28]-NRT-code) | [i] | ||
3 | Digital (74, 101, 850)-net over F4 | [i] | ||
4 | Linear OA(4110, 1045, F4, 28) (dual of [1045, 935, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4112, 1034, F4, 30) (dual of [1034, 922, 31]-code) | [i] | ✔ | |
6 | Linear OA(4119, 1041, F4, 31) (dual of [1041, 922, 32]-code) | [i] | ✔ | |
7 | Linear OA(4125, 1045, F4, 32) (dual of [1045, 920, 33]-code) | [i] | ✔ | |
8 | Linear OA(4136, 1058, F4, 34) (dual of [1058, 922, 35]-code) | [i] | ✔ | |
9 | Linear OA(4143, 1062, F4, 35) (dual of [1062, 919, 36]-code) | [i] | ✔ | |
10 | Linear OA(4142, 1064, F4, 35) (dual of [1064, 922, 36]-code) | [i] | ✔ | |
11 | Linear OA(4150, 1070, F4, 36) (dual of [1070, 920, 37]-code) | [i] | ✔ | |
12 | Linear OA(4149, 1068, F4, 36) (dual of [1068, 919, 37]-code) | [i] | ✔ |