Information on Result #707490
Linear OA(441, 1023, F4, 11) (dual of [1023, 982, 12]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,5}, and designed minimum distance d ≥ |I|+1 = 12
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]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(441, 649, F4, 2, 11) (dual of [(649, 2), 1257, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(441, 649, F4, 3, 11) (dual of [(649, 3), 1906, 12]-NRT-code) | [i] | ||
| 3 | Digital (30, 41, 649)-net over F4 | [i] | ||
| 4 | Linear OA(448, 1055, F4, 11) (dual of [1055, 1007, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(447, 1049, F4, 11) (dual of [1049, 1002, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(452, 1049, F4, 12) (dual of [1049, 997, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(460, 1057, F4, 14) (dual of [1057, 997, 15]-code) | [i] | ✔ | |