Information on Result #612670
Linear OA(441, 1025, F4, 11) (dual of [1025, 984, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(447, 1037, F4, 11) (dual of [1037, 990, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(448, 1041, F4, 11) (dual of [1041, 993, 12]-code) | [i] | ||
| 3 | Linear OA(445, 1030, F4, 11) (dual of [1030, 985, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(452, 1036, F4, 13) (dual of [1036, 984, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(442, 1036, F4, 11) (dual of [1036, 994, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(470, 1049, F4, 17) (dual of [1049, 979, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(471, 1055, F4, 17) (dual of [1055, 984, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(467, 1046, F4, 16) (dual of [1046, 979, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(468, 1052, F4, 16) (dual of [1052, 984, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(465, 1042, F4, 15) (dual of [1042, 977, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(466, 1050, F4, 15) (dual of [1050, 984, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(484, 1059, F4, 19) (dual of [1059, 975, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(469, 1046, F4, 17) (dual of [1046, 977, 18]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 14 | Linear OA(448, 1045, F4, 11) (dual of [1045, 997, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(442, 1037, F4, 11) (dual of [1037, 995, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |