Information on Result #708313
Linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,29}, and designed minimum distance d ≥ |I|+1 = 36
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(4131, 1008, F4, 2, 35) (dual of [(1008, 2), 1885, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4131, 1008, F4, 3, 35) (dual of [(1008, 3), 2893, 36]-NRT-code) | [i] | ||
3 | Digital (96, 131, 1008)-net over F4 | [i] | ||
4 | Linear OA(4148, 1081, F4, 35) (dual of [1081, 933, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4145, 1077, F4, 35) (dual of [1077, 932, 36]-code) | [i] | ✔ | |
6 | Linear OA(4144, 1071, F4, 35) (dual of [1071, 927, 36]-code) | [i] | ✔ | |
7 | Linear OA(4143, 1070, F4, 35) (dual of [1070, 927, 36]-code) | [i] | ✔ | |
8 | Linear OA(4141, 1063, F4, 35) (dual of [1063, 922, 36]-code) | [i] | ✔ | |
9 | Linear OA(4140, 1057, F4, 35) (dual of [1057, 917, 36]-code) | [i] | ✔ | |
10 | Linear OA(4138, 1055, F4, 35) (dual of [1055, 917, 36]-code) | [i] | ✔ | |
11 | Linear OA(4137, 1049, F4, 35) (dual of [1049, 912, 36]-code) | [i] | ✔ | |
12 | Linear OA(4142, 1049, F4, 36) (dual of [1049, 907, 37]-code) | [i] | ✔ | |
13 | Linear OA(4154, 1067, F4, 38) (dual of [1067, 913, 39]-code) | [i] | ✔ | |
14 | Linear OA(4151, 1063, F4, 38) (dual of [1063, 912, 39]-code) | [i] | ✔ | |
15 | Linear OA(4150, 1057, F4, 38) (dual of [1057, 907, 39]-code) | [i] | ✔ | |
16 | Linear OA(4158, 1070, F4, 39) (dual of [1070, 912, 40]-code) | [i] | ✔ | |
17 | Linear OA(4165, 1077, F4, 40) (dual of [1077, 912, 41]-code) | [i] | ✔ | |
18 | Linear OA(4164, 1071, F4, 40) (dual of [1071, 907, 41]-code) | [i] | ✔ |