Information on Result #612646
Linear OA(461, 1048577, F4, 9) (dual of [1048577, 1048516, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, 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(460, 1048576, F4, 8) (dual of [1048576, 1048516, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(466, 1048588, F4, 9) (dual of [1048588, 1048522, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(465, 1048582, F4, 9) (dual of [1048582, 1048517, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(482, 1048598, F4, 11) (dual of [1048598, 1048516, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(464, 1048583, F4, 9) (dual of [1048583, 1048519, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(465, 1048594, F4, 9) (dual of [1048594, 1048529, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(466, 1048602, F4, 9) (dual of [1048602, 1048536, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(464, 1048598, F4, 8) (dual of [1048598, 1048534, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(482, 1048599, F4, 11) (dual of [1048599, 1048517, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OOA(461, 262144, F4, 9, 9) (dual of [(262144, 9), 2359235, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |