Information on Result #612588

Linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, 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(448, 4194310, F4, 6) (dual of [4194310, 4194262, 7]-code) [i](u, u+v)-Construction
2Linear OOA(445, 3094505, F4, 2, 6) (dual of [(3094505, 2), 6188965, 7]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(445, 3094505, F4, 3, 6) (dual of [(3094505, 3), 9283470, 7]-NRT-code) [i]
4Digital (39, 45, 3094505)-net over F4 [i]
5Linear OA(456, 4194315, F4, 7) (dual of [4194315, 4194259, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(445, 4194315, F4, 6) (dual of [4194315, 4194270, 7]-code) [i]✔
7Linear OA(468, 4194327, F4, 8) (dual of [4194327, 4194259, 9]-code) [i]✔
8Linear OA(470, 4194325, F4, 9) (dual of [4194325, 4194255, 10]-code) [i]✔
9Linear OA(471, 4194330, F4, 9) (dual of [4194330, 4194259, 10]-code) [i]✔
10Linear OA(448, 4194325, F4, 6) (dual of [4194325, 4194277, 7]-code) [i]✔
11Linear OA(483, 4194342, F4, 10) (dual of [4194342, 4194259, 11]-code) [i]✔
12Linear OA(496, 4194347, F4, 11) (dual of [4194347, 4194251, 12]-code) [i]✔
13Linear OA(457, 4194317, F4, 7) (dual of [4194317, 4194260, 8]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(446, 4194317, F4, 6) (dual of [4194317, 4194271, 7]-code) [i]✔
15Linear OA(468, 4194328, F4, 8) (dual of [4194328, 4194260, 9]-code) [i]✔