Information on Result #707754
Linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,16}, and designed minimum distance d ≥ |I|+1 = 24
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(486, 776, F4, 2, 23) (dual of [(776, 2), 1466, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(486, 776, F4, 3, 23) (dual of [(776, 3), 2242, 24]-NRT-code) | [i] | ||
3 | Digital (63, 86, 776)-net over F4 | [i] | ||
4 | Linear OA(4102, 1072, F4, 23) (dual of [1072, 970, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4101, 1070, F4, 23) (dual of [1070, 969, 24]-code) | [i] | ✔ | |
6 | Linear OA(4100, 1065, F4, 23) (dual of [1065, 965, 24]-code) | [i] | ✔ | |
7 | Linear OA(499, 1063, F4, 23) (dual of [1063, 964, 24]-code) | [i] | ✔ | |
8 | Linear OA(4101, 1077, F4, 23) (dual of [1077, 976, 24]-code) | [i] | ✔ | |
9 | Linear OA(499, 1070, F4, 23) (dual of [1070, 971, 24]-code) | [i] | ✔ | |
10 | Linear OA(497, 1063, F4, 23) (dual of [1063, 966, 24]-code) | [i] | ✔ | |
11 | Linear OA(4103, 1062, F4, 24) (dual of [1062, 959, 25]-code) | [i] | ✔ | |
12 | Linear OA(4101, 1062, F4, 24) (dual of [1062, 961, 25]-code) | [i] | ✔ | |
13 | Linear OA(4119, 1079, F4, 27) (dual of [1079, 960, 28]-code) | [i] | ✔ | |
14 | Linear OA(4118, 1077, F4, 27) (dual of [1077, 959, 28]-code) | [i] | ✔ | |
15 | Linear OA(4116, 1077, F4, 27) (dual of [1077, 961, 28]-code) | [i] | ✔ | |
16 | Linear OA(4125, 1084, F4, 28) (dual of [1084, 959, 29]-code) | [i] | ✔ | |
17 | Linear OA(4123, 1084, F4, 28) (dual of [1084, 961, 29]-code) | [i] | ✔ |