Information on Result #708175
Linear OA(4121, 1023, F4, 32) (dual of [1023, 902, 33]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,26}, and designed minimum distance d ≥ |I|+1 = 33
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(4121, 1005, F4, 2, 32) (dual of [(1005, 2), 1889, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4121, 1005, F4, 3, 32) (dual of [(1005, 3), 2894, 33]-NRT-code) | [i] | ||
3 | Digital (89, 121, 1005)-net over F4 | [i] | ||
4 | Linear OA(4132, 1065, F4, 32) (dual of [1065, 933, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4135, 1077, F4, 32) (dual of [1077, 942, 33]-code) | [i] | ✔ | |
6 | Linear OA(4134, 1071, F4, 32) (dual of [1071, 937, 33]-code) | [i] | ✔ | |
7 | Linear OA(4133, 1070, F4, 32) (dual of [1070, 937, 33]-code) | [i] | ✔ | |
8 | Linear OA(4129, 1061, F4, 32) (dual of [1061, 932, 33]-code) | [i] | ✔ | |
9 | Linear OA(4128, 1055, F4, 32) (dual of [1055, 927, 33]-code) | [i] | ✔ | |
10 | Linear OA(4127, 1049, F4, 32) (dual of [1049, 922, 33]-code) | [i] | ✔ | |
11 | Linear OA(4137, 1060, F4, 34) (dual of [1060, 923, 35]-code) | [i] | ✔ | |
12 | Linear OA(4134, 1056, F4, 34) (dual of [1056, 922, 35]-code) | [i] | ✔ | |
13 | Linear OA(4141, 1063, F4, 35) (dual of [1063, 922, 36]-code) | [i] | ✔ | |
14 | Linear OA(4140, 1057, F4, 35) (dual of [1057, 917, 36]-code) | [i] | ✔ | |
15 | Linear OA(4148, 1070, F4, 36) (dual of [1070, 922, 37]-code) | [i] | ✔ |