Information on Result #612595
Linear OA(441, 65536, F4, 7) (dual of [65536, 65495, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(444, 65542, F4, 7) (dual of [65542, 65498, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(445, 65553, F4, 7) (dual of [65553, 65508, 8]-code) | [i] | ||
| 3 | Linear OOA(441, 56908, F4, 2, 7) (dual of [(56908, 2), 113775, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(441, 56908, F4, 3, 7) (dual of [(56908, 3), 170683, 8]-NRT-code) | [i] | ||
| 5 | Digital (34, 41, 56908)-net over F4 | [i] | ||
| 6 | Linear OA(450, 65545, F4, 9) (dual of [65545, 65495, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(441, 65544, F4, 7) (dual of [65544, 65503, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(460, 65555, F4, 10) (dual of [65555, 65495, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(442, 65553, F4, 7) (dual of [65553, 65511, 8]-code) | [i] | ✔ | |
| 10 | Linear OA(470, 65565, F4, 11) (dual of [65565, 65495, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(480, 65575, F4, 12) (dual of [65575, 65495, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(481, 65570, F4, 13) (dual of [65570, 65489, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(480, 65568, F4, 13) (dual of [65568, 65488, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(471, 65567, F4, 11) (dual of [65567, 65496, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(459, 65547, F4, 10) (dual of [65547, 65488, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(461, 65557, F4, 10) (dual of [65557, 65496, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(445, 65558, F4, 7) (dual of [65558, 65513, 8]-code) | [i] | ✔ | |
| 18 | Linear OA(450, 65546, F4, 9) (dual of [65546, 65496, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(442, 65546, F4, 7) (dual of [65546, 65504, 8]-code) | [i] | ✔ | |
| 20 | Linear OA(442, 65554, F4, 7) (dual of [65554, 65512, 8]-code) | [i] | ✔ | |