Information on Result #612661

Linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(476, 1048582, F4, 10) (dual of [1048582, 1048506, 11]-code) [i](u, u+v)-Construction
2Linear OA(477, 1048588, F4, 10) (dual of [1048588, 1048511, 11]-code) [i]
3Linear OA(481, 1048586, F4, 11) (dual of [1048586, 1048505, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(471, 1048586, F4, 10) (dual of [1048586, 1048515, 11]-code) [i]✔
5Linear OA(492, 1048597, F4, 12) (dual of [1048597, 1048505, 13]-code) [i]✔
6Linear OA(494, 1048597, F4, 13) (dual of [1048597, 1048503, 14]-code) [i]✔
7Linear OA(495, 1048600, F4, 13) (dual of [1048600, 1048505, 14]-code) [i]✔
8Linear OA(474, 1048597, F4, 10) (dual of [1048597, 1048523, 11]-code) [i]✔
9Linear OA(475, 1048600, F4, 10) (dual of [1048600, 1048525, 11]-code) [i]✔
10Linear OA(4106, 1048611, F4, 14) (dual of [1048611, 1048505, 15]-code) [i]✔
11Linear OA(476, 1048611, F4, 10) (dual of [1048611, 1048535, 11]-code) [i]✔
12Linear OA(4118, 1048619, F4, 15) (dual of [1048619, 1048501, 16]-code) [i]✔
13Linear OA(4119, 1048624, F4, 15) (dual of [1048624, 1048505, 16]-code) [i]✔
14Linear OA(4131, 1048636, F4, 16) (dual of [1048636, 1048505, 17]-code) [i]✔
15Linear OA(4130, 1048627, F4, 16) (dual of [1048627, 1048497, 17]-code) [i]✔
16Linear OA(472, 1048588, F4, 10) (dual of [1048588, 1048516, 11]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
17Linear OA(492, 1048598, F4, 12) (dual of [1048598, 1048506, 13]-code) [i]✔