Information on Result #612598

Linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, 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(459, 4194310, F4, 7) (dual of [4194310, 4194251, 8]-code) [i](u, u+v)-Construction
2Linear OA(460, 4194321, F4, 7) (dual of [4194321, 4194261, 8]-code) [i]
3Linear OOA(456, 3642290, F4, 2, 7) (dual of [(3642290, 2), 7284524, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(456, 3642290, F4, 3, 7) (dual of [(3642290, 3), 10926814, 8]-NRT-code) [i]
5Digital (49, 56, 3642290)-net over F4 [i]
6Linear OA(468, 4194316, F4, 9) (dual of [4194316, 4194248, 10]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(456, 4194315, F4, 7) (dual of [4194315, 4194259, 8]-code) [i]✔
8Linear OA(481, 4194325, F4, 10) (dual of [4194325, 4194244, 11]-code) [i]✔
9Linear OA(482, 4194330, F4, 10) (dual of [4194330, 4194248, 11]-code) [i]✔
10Linear OA(457, 4194327, F4, 7) (dual of [4194327, 4194270, 8]-code) [i]✔
11Linear OA(494, 4194342, F4, 11) (dual of [4194342, 4194248, 12]-code) [i]✔
12Linear OA(4107, 4194347, F4, 12) (dual of [4194347, 4194240, 13]-code) [i]✔
13Linear OA(468, 4194317, F4, 9) (dual of [4194317, 4194249, 10]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(457, 4194317, F4, 7) (dual of [4194317, 4194260, 8]-code) [i]✔
15Linear OA(457, 4194328, F4, 7) (dual of [4194328, 4194271, 8]-code) [i]✔