Information on Result #707970
Linear OA(4106, 1023, F4, 28) (dual of [1023, 917, 29]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,21}, and designed minimum distance d ≥ |I|+1 = 29
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(4106, 930, F4, 2, 28) (dual of [(930, 2), 1754, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4106, 930, F4, 3, 28) (dual of [(930, 3), 2684, 29]-NRT-code) | [i] | ||
3 | Digital (78, 106, 930)-net over F4 | [i] | ||
4 | Linear OA(4125, 1084, F4, 28) (dual of [1084, 959, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4123, 1077, F4, 28) (dual of [1077, 954, 29]-code) | [i] | ✔ | |
6 | Linear OA(4121, 1070, F4, 28) (dual of [1070, 949, 29]-code) | [i] | ✔ | |
7 | Linear OA(4118, 1062, F4, 28) (dual of [1062, 944, 29]-code) | [i] | ✔ | |
8 | Linear OA(4123, 1084, F4, 28) (dual of [1084, 961, 29]-code) | [i] | ✔ | |
9 | Linear OA(4121, 1077, F4, 28) (dual of [1077, 956, 29]-code) | [i] | ✔ | |
10 | Linear OA(4119, 1070, F4, 28) (dual of [1070, 951, 29]-code) | [i] | ✔ | |
11 | Linear OA(4116, 1062, F4, 28) (dual of [1062, 946, 29]-code) | [i] | ✔ | |
12 | Linear OA(4132, 1072, F4, 31) (dual of [1072, 940, 32]-code) | [i] | ✔ | |
13 | Linear OA(4131, 1070, F4, 31) (dual of [1070, 939, 32]-code) | [i] | ✔ | |
14 | Linear OA(4129, 1070, F4, 31) (dual of [1070, 941, 32]-code) | [i] | ✔ | |
15 | Linear OA(4138, 1077, F4, 32) (dual of [1077, 939, 33]-code) | [i] | ✔ | |
16 | Linear OA(4136, 1077, F4, 32) (dual of [1077, 941, 33]-code) | [i] | ✔ |