Information on Result #610969
Linear OA(289, 4194305, F2, 9) (dual of [4194305, 4194216, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, 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(288, 4194304, F2, 8) (dual of [4194304, 4194216, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(293, 4194310, F2, 9) (dual of [4194310, 4194217, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2136, 4194309, F2, 13) (dual of [4194309, 4194173, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(2137, 4194313, F2, 13) (dual of [4194313, 4194176, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(2138, 4194321, F2, 13) (dual of [4194321, 4194183, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(292, 4194309, F2, 9) (dual of [4194309, 4194217, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(289, 1048576, F2, 5, 9) (dual of [(1048576, 5), 5242791, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(289, 1048576, F2, 6, 9) (dual of [(1048576, 6), 6291367, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(289, 1048576, F2, 7, 9) (dual of [(1048576, 7), 7339943, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(289, 1048576, F2, 8, 9) (dual of [(1048576, 8), 8388519, 10]-NRT-code) | [i] | ||