Information on Result #707939
Linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,343}, and designed minimum distance d ≥ |I|+1 = 28
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(4101, 850, F4, 2, 27) (dual of [(850, 2), 1599, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4101, 850, F4, 3, 27) (dual of [(850, 3), 2449, 28]-NRT-code) | [i] | ||
3 | Digital (74, 101, 850)-net over F4 | [i] | ||
4 | Linear OA(4117, 1073, F4, 27) (dual of [1073, 956, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4112, 1064, F4, 27) (dual of [1064, 952, 28]-code) | [i] | ✔ | |
6 | Linear OA(4108, 1035, F4, 29) (dual of [1035, 927, 30]-code) | [i] | ✔ | |
7 | Linear OA(4141, 1083, F4, 33) (dual of [1083, 942, 34]-code) | [i] | ✔ | |
8 | Linear OA(4131, 1064, F4, 32) (dual of [1064, 933, 33]-code) | [i] | ✔ | |
9 | Linear OA(4136, 1073, F4, 33) (dual of [1073, 937, 34]-code) | [i] | ✔ | |
10 | Linear OA(4135, 1067, F4, 33) (dual of [1067, 932, 34]-code) | [i] | ✔ | |
11 | Linear OA(4134, 1066, F4, 33) (dual of [1066, 932, 34]-code) | [i] | ✔ | |
12 | Linear OA(4133, 1060, F4, 33) (dual of [1060, 927, 34]-code) | [i] | ✔ | |
13 | Linear OA(4132, 1059, F4, 33) (dual of [1059, 927, 34]-code) | [i] | ✔ | |
14 | Linear OA(4151, 1073, F4, 37) (dual of [1073, 922, 38]-code) | [i] | ✔ | |
15 | Linear OA(4150, 1067, F4, 37) (dual of [1067, 917, 38]-code) | [i] | ✔ | |
16 | Linear OA(4158, 1080, F4, 38) (dual of [1080, 922, 39]-code) | [i] | ✔ |