Information on Result #612587

Linear OA(441, 1048576, F4, 6) (dual of [1048576, 1048535, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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:

ResultThis
result
only		Method
1Linear OA(444, 1048582, F4, 6) (dual of [1048582, 1048538, 7]-code) [i](u, u+v)-Construction
2Linear OOA(441, 773624, F4, 2, 6) (dual of [(773624, 2), 1547207, 7]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(441, 773624, F4, 3, 6) (dual of [(773624, 3), 2320831, 7]-NRT-code) [i]
4Digital (35, 41, 773624)-net over F4 [i]
5Linear OA(451, 1048586, F4, 7) (dual of [1048586, 1048535, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(441, 1048586, F4, 6) (dual of [1048586, 1048545, 7]-code) [i]✔
7Linear OA(462, 1048597, F4, 8) (dual of [1048597, 1048535, 9]-code) [i]✔
8Linear OA(464, 1048597, F4, 9) (dual of [1048597, 1048533, 10]-code) [i]✔
9Linear OA(465, 1048600, F4, 9) (dual of [1048600, 1048535, 10]-code) [i]✔
10Linear OA(444, 1048597, F4, 6) (dual of [1048597, 1048553, 7]-code) [i]✔
11Linear OA(476, 1048611, F4, 10) (dual of [1048611, 1048535, 11]-code) [i]✔
12Linear OA(488, 1048619, F4, 11) (dual of [1048619, 1048531, 12]-code) [i]✔
13Linear OA(452, 1048588, F4, 7) (dual of [1048588, 1048536, 8]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(442, 1048588, F4, 6) (dual of [1048588, 1048546, 7]-code) [i]✔
15Linear OA(462, 1048598, F4, 8) (dual of [1048598, 1048536, 9]-code) [i]✔