Information on Result #612596

Linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(449, 262150, F4, 7) (dual of [262150, 262101, 8]-code) [i](u, u+v)-Construction
2Linear OA(450, 262161, F4, 7) (dual of [262161, 262111, 8]-code) [i]
3Linear OOA(446, 227640, F4, 2, 7) (dual of [(227640, 2), 455234, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(446, 227640, F4, 3, 7) (dual of [(227640, 3), 682874, 8]-NRT-code) [i]
5Digital (39, 46, 227640)-net over F4 [i]
6Linear OA(456, 262154, F4, 9) (dual of [262154, 262098, 10]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(446, 262153, F4, 7) (dual of [262153, 262107, 8]-code) [i]✔
8Linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code) [i]✔
9Linear OA(447, 262163, F4, 7) (dual of [262163, 262116, 8]-code) [i]✔
10Linear OA(478, 262176, F4, 11) (dual of [262176, 262098, 12]-code) [i]✔
11Linear OA(489, 262187, F4, 12) (dual of [262187, 262098, 13]-code) [i]✔
12Linear OA(450, 262168, F4, 7) (dual of [262168, 262118, 8]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(456, 262155, F4, 9) (dual of [262155, 262099, 10]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(447, 262155, F4, 7) (dual of [262155, 262108, 8]-code) [i]✔
15Linear OA(447, 262164, F4, 7) (dual of [262164, 262117, 8]-code) [i]✔