Information on Result #707516
Linear OA(430, 1023, F4, 8) (dual of [1023, 993, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(430, 807, F4, 2, 8) (dual of [(807, 2), 1584, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(430, 807, F4, 3, 8) (dual of [(807, 3), 2391, 9]-NRT-code) | [i] | ||
| 3 | Digital (22, 30, 807)-net over F4 | [i] | ||
| 4 | Linear OA(438, 1036, F4, 10) (dual of [1036, 998, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(454, 1052, F4, 13) (dual of [1052, 998, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(452, 1050, F4, 12) (dual of [1050, 998, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(453, 1050, F4, 13) (dual of [1050, 997, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(451, 1046, F4, 12) (dual of [1046, 995, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(457, 1049, F4, 14) (dual of [1049, 992, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(448, 1041, F4, 12) (dual of [1041, 993, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(464, 1057, F4, 15) (dual of [1057, 993, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(472, 1064, F4, 17) (dual of [1064, 992, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(430, 341, F4, 3, 8) (dual of [(341, 3), 993, 9]-NRT-code) | [i] | OOA Folding | |