Information on Result #707481
Linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,5}, and designed minimum distance d ≥ |I|+1 = 11
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(436, 535, F4, 2, 10) (dual of [(535, 2), 1034, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(436, 535, F4, 3, 10) (dual of [(535, 3), 1569, 11]-NRT-code) | [i] | ||
| 3 | Digital (26, 36, 535)-net over F4 | [i] | ||
| 4 | Linear OA(442, 1049, F4, 10) (dual of [1049, 1007, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(441, 1048, F4, 10) (dual of [1048, 1007, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(440, 1045, F4, 10) (dual of [1045, 1005, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(445, 1045, F4, 11) (dual of [1045, 1000, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(454, 1056, F4, 13) (dual of [1056, 1002, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(453, 1053, F4, 13) (dual of [1053, 1000, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(460, 1060, F4, 14) (dual of [1060, 1000, 15]-code) | [i] | ✔ | |