Information on Result #707322
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 = {311,312,…,342}, 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(4143, 1090, F4, 32) (dual of [1090, 947, 33]-code) | [i] | ✔ | Construction X with Cyclic Codes |
5 | Linear OA(4126, 1047, F4, 32) (dual of [1047, 921, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
6 | Linear OA(4125, 1045, F4, 32) (dual of [1045, 920, 33]-code) | [i] | ✔ | |
7 | Linear OA(4127, 1034, F4, 34) (dual of [1034, 907, 35]-code) | [i] | ✔ | |
8 | Linear OA(4135, 1047, F4, 35) (dual of [1047, 912, 36]-code) | [i] | ✔ | |
9 | Linear OA(4134, 1039, F4, 35) (dual of [1039, 905, 36]-code) | [i] | ✔ | |
10 | Linear OA(4141, 1047, F4, 36) (dual of [1047, 906, 37]-code) | [i] | ✔ | |
11 | Linear OA(4134, 1041, F4, 35) (dual of [1041, 907, 36]-code) | [i] | ✔ | |
12 | Linear OA(4142, 1054, F4, 36) (dual of [1054, 912, 37]-code) | [i] | ✔ | |
13 | Linear OA(4141, 1051, F4, 36) (dual of [1051, 910, 37]-code) | [i] | ✔ | |
14 | Linear OA(4166, 1086, F4, 39) (dual of [1086, 920, 40]-code) | [i] | ✔ | |
15 | Linear OA(4165, 1084, F4, 39) (dual of [1084, 919, 40]-code) | [i] | ✔ | |
16 | Linear OA(4140, 1045, F4, 36) (dual of [1045, 905, 37]-code) | [i] | ✔ | |
17 | Linear OA(4160, 1066, F4, 39) (dual of [1066, 906, 40]-code) | [i] | ✔ | |
18 | Linear OA(4159, 1064, F4, 39) (dual of [1064, 905, 40]-code) | [i] | ✔ | |
19 | Linear OA(4151, 1058, F4, 38) (dual of [1058, 907, 39]-code) | [i] | ✔ | |
20 | Linear OA(4160, 1070, F4, 39) (dual of [1070, 910, 40]-code) | [i] | ✔ | |
21 | Linear OA(4159, 1068, F4, 39) (dual of [1068, 909, 40]-code) | [i] | ✔ | |
22 | Linear OA(4158, 1062, F4, 39) (dual of [1062, 904, 40]-code) | [i] | ✔ | |
23 | Linear OA(4140, 1042, F4, 37) (dual of [1042, 902, 38]-code) | [i] | ✔ | |
24 | Linear OA(4165, 1065, F4, 41) (dual of [1065, 900, 42]-code) | [i] | ✔ | |
25 | Linear OA(4164, 1063, F4, 41) (dual of [1063, 899, 42]-code) | [i] | ✔ | |
26 | Linear OA(4172, 1072, F4, 42) (dual of [1072, 900, 43]-code) | [i] | ✔ | |
27 | Linear OA(4171, 1070, F4, 42) (dual of [1070, 899, 43]-code) | [i] | ✔ | |
28 | Linear OA(4189, 1089, F4, 45) (dual of [1089, 900, 46]-code) | [i] | ✔ | |
29 | Linear OA(4188, 1087, F4, 45) (dual of [1087, 899, 46]-code) | [i] | ✔ |