Information on Result #708173
Linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,26}, and designed minimum distance d ≥ |I|+1 = 32
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(4116, 928, F4, 2, 31) (dual of [(928, 2), 1740, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4116, 928, F4, 3, 31) (dual of [(928, 3), 2668, 32]-NRT-code) | [i] | ||
3 | Digital (85, 116, 928)-net over F4 | [i] | ||
4 | Linear OA(4124, 1057, F4, 31) (dual of [1057, 933, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4125, 1060, F4, 31) (dual of [1060, 935, 32]-code) | [i] | ✔ | |
6 | Linear OA(4122, 1054, F4, 31) (dual of [1054, 932, 32]-code) | [i] | ✔ | |
7 | Linear OA(4121, 1051, F4, 31) (dual of [1051, 930, 32]-code) | [i] | ✔ | |
8 | Linear OA(4120, 1045, F4, 31) (dual of [1045, 925, 32]-code) | [i] | ✔ | |
9 | Linear OA(4129, 1052, F4, 33) (dual of [1052, 923, 34]-code) | [i] | ✔ | |
10 | Linear OA(4127, 1050, F4, 32) (dual of [1050, 923, 33]-code) | [i] | ✔ | |
11 | Linear OA(4128, 1050, F4, 33) (dual of [1050, 922, 34]-code) | [i] | ✔ | |
12 | Linear OA(4126, 1046, F4, 32) (dual of [1046, 920, 33]-code) | [i] | ✔ | |
13 | Linear OA(4127, 1049, F4, 33) (dual of [1049, 922, 34]-code) | [i] | ✔ | |
14 | Linear OA(4125, 1047, F4, 32) (dual of [1047, 922, 33]-code) | [i] | ✔ | |
15 | Linear OA(4126, 1046, F4, 33) (dual of [1046, 920, 34]-code) | [i] | ✔ | |
16 | Linear OA(4133, 1053, F4, 34) (dual of [1053, 920, 35]-code) | [i] | ✔ | |
17 | Linear OA(4140, 1060, F4, 35) (dual of [1060, 920, 36]-code) | [i] | ✔ |