Information on Result #612640
Linear OA(449, 65537, F4, 9) (dual of [65537, 65488, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, 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(448, 65536, F4, 8) (dual of [65536, 65488, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(454, 65548, F4, 9) (dual of [65548, 65494, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(453, 65542, F4, 9) (dual of [65542, 65489, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(466, 65554, F4, 11) (dual of [65554, 65488, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(452, 65543, F4, 9) (dual of [65543, 65491, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(453, 65554, F4, 9) (dual of [65554, 65501, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(454, 65558, F4, 9) (dual of [65558, 65504, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(452, 65556, F4, 8) (dual of [65556, 65504, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(466, 65555, F4, 11) (dual of [65555, 65489, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OOA(449, 16384, F4, 9, 9) (dual of [(16384, 9), 147407, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |