Information on Result #610945
Linear OA(257, 16385, F2, 9) (dual of [16385, 16328, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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(256, 16384, F2, 8) (dual of [16384, 16328, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(261, 16390, F2, 9) (dual of [16390, 16329, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(288, 16389, F2, 13) (dual of [16389, 16301, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(289, 16393, F2, 13) (dual of [16393, 16304, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(290, 16401, F2, 13) (dual of [16401, 16311, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(260, 16389, F2, 9) (dual of [16389, 16329, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(257, 4096, F2, 5, 9) (dual of [(4096, 5), 20423, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(257, 4096, F2, 6, 9) (dual of [(4096, 6), 24519, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(257, 4096, F2, 7, 9) (dual of [(4096, 7), 28615, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(257, 4096, F2, 8, 9) (dual of [(4096, 8), 32711, 10]-NRT-code) | [i] | ||