Information on Result #707926
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 = {319,320,…,341}, 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(495, 1045, F4, 24) (dual of [1045, 950, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(497, 1034, F4, 26) (dual of [1034, 937, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(4104, 1041, F4, 27) (dual of [1041, 937, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4110, 1045, F4, 28) (dual of [1045, 935, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(4121, 1058, F4, 30) (dual of [1058, 937, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4128, 1062, F4, 31) (dual of [1062, 934, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(4127, 1064, F4, 31) (dual of [1064, 937, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4135, 1070, F4, 32) (dual of [1070, 935, 33]-code) | [i] | ✔ | |