Information on Result #611019
Linear OA(285, 16385, F2, 13) (dual of [16385, 16300, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(284, 16384, F2, 12) (dual of [16384, 16300, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(291, 16392, F2, 13) (dual of [16392, 16301, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2116, 16389, F2, 17) (dual of [16389, 16273, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2117, 16393, F2, 17) (dual of [16393, 16276, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2118, 16401, F2, 17) (dual of [16401, 16283, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2119, 16417, F2, 17) (dual of [16417, 16298, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2120, 16420, F2, 17) (dual of [16420, 16300, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(288, 16389, F2, 13) (dual of [16389, 16301, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(289, 16393, F2, 13) (dual of [16393, 16304, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(290, 16401, F2, 13) (dual of [16401, 16311, 14]-code) | [i] | ✔ | |
| 11 | Linear OOA(285, 3277, F2, 5, 13) (dual of [(3277, 5), 16300, 14]-NRT-code) | [i] | OOA Folding | |