Information on Result #708282
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 = {309,310,…,343}, 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(4147, 1073, F4, 35) (dual of [1073, 926, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4142, 1064, F4, 35) (dual of [1064, 922, 36]-code) | [i] | ✔ | |
6 | Linear OA(4138, 1035, F4, 37) (dual of [1035, 897, 38]-code) | [i] | ✔ | |
7 | Linear OA(4171, 1083, F4, 41) (dual of [1083, 912, 42]-code) | [i] | ✔ | |
8 | Linear OA(4161, 1064, F4, 40) (dual of [1064, 903, 41]-code) | [i] | ✔ | |
9 | Linear OA(4166, 1073, F4, 41) (dual of [1073, 907, 42]-code) | [i] | ✔ | |
10 | Linear OA(4165, 1067, F4, 41) (dual of [1067, 902, 42]-code) | [i] | ✔ | |
11 | Linear OA(4164, 1066, F4, 41) (dual of [1066, 902, 42]-code) | [i] | ✔ | |
12 | Linear OA(4163, 1060, F4, 41) (dual of [1060, 897, 42]-code) | [i] | ✔ | |
13 | Linear OA(4162, 1059, F4, 41) (dual of [1059, 897, 42]-code) | [i] | ✔ | |
14 | Linear OA(4181, 1073, F4, 45) (dual of [1073, 892, 46]-code) | [i] | ✔ | |
15 | Linear OA(4180, 1067, F4, 45) (dual of [1067, 887, 46]-code) | [i] | ✔ | |
16 | Linear OA(4188, 1080, F4, 46) (dual of [1080, 892, 47]-code) | [i] | ✔ |