Information on Result #612597

Linear OA(451, 1048576, F4, 7) (dual of [1048576, 1048525, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, 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:

ResultThis
result
only		Method
1Linear OA(454, 1048582, F4, 7) (dual of [1048582, 1048528, 8]-code) [i](u, u+v)-Construction
2Linear OA(455, 1048593, F4, 7) (dual of [1048593, 1048538, 8]-code) [i]
3Linear OOA(451, 910570, F4, 2, 7) (dual of [(910570, 2), 1821089, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(451, 910570, F4, 3, 7) (dual of [(910570, 3), 2731659, 8]-NRT-code) [i]
5Digital (44, 51, 910570)-net over F4 [i]
6Linear OA(462, 1048587, F4, 9) (dual of [1048587, 1048525, 10]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(451, 1048586, F4, 7) (dual of [1048586, 1048535, 8]-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(452, 1048597, F4, 7) (dual of [1048597, 1048545, 8]-code) [i]✔
11Linear OA(486, 1048611, F4, 11) (dual of [1048611, 1048525, 12]-code) [i]✔
12Linear OA(498, 1048619, F4, 12) (dual of [1048619, 1048521, 13]-code) [i]✔
13Linear OA(462, 1048588, F4, 9) (dual of [1048588, 1048526, 10]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(452, 1048588, F4, 7) (dual of [1048588, 1048536, 8]-code) [i]✔
15Linear OA(452, 1048598, F4, 7) (dual of [1048598, 1048546, 8]-code) [i]✔