Information on Result #612637
Linear OA(443, 16385, F4, 9) (dual of [16385, 16342, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(442, 16384, F4, 8) (dual of [16384, 16342, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(448, 16396, F4, 9) (dual of [16396, 16348, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(447, 16390, F4, 9) (dual of [16390, 16343, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(458, 16400, F4, 11) (dual of [16400, 16342, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(446, 16391, F4, 9) (dual of [16391, 16345, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(447, 16402, F4, 9) (dual of [16402, 16355, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(448, 16404, F4, 9) (dual of [16404, 16356, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(446, 16402, F4, 8) (dual of [16402, 16356, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(458, 16401, F4, 11) (dual of [16401, 16343, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OOA(443, 4096, F4, 9, 9) (dual of [(4096, 9), 36821, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |