Information on Result #708449
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 = {307,308,…,341}, 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(4140, 1045, F4, 36) (dual of [1045, 905, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4142, 1034, F4, 38) (dual of [1034, 892, 39]-code) | [i] | ✔ | |
6 | Linear OA(4149, 1041, F4, 39) (dual of [1041, 892, 40]-code) | [i] | ✔ | |
7 | Linear OA(4155, 1045, F4, 40) (dual of [1045, 890, 41]-code) | [i] | ✔ | |
8 | Linear OA(4166, 1058, F4, 42) (dual of [1058, 892, 43]-code) | [i] | ✔ | |
9 | Linear OA(4173, 1062, F4, 43) (dual of [1062, 889, 44]-code) | [i] | ✔ | |
10 | Linear OA(4172, 1064, F4, 43) (dual of [1064, 892, 44]-code) | [i] | ✔ | |
11 | Linear OA(4180, 1070, F4, 44) (dual of [1070, 890, 45]-code) | [i] | ✔ | |
12 | Linear OA(4179, 1068, F4, 44) (dual of [1068, 889, 45]-code) | [i] | ✔ |