Information on Result #612586

Linear OA(437, 262144, F4, 6) (dual of [262144, 262107, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(440, 262150, F4, 6) (dual of [262150, 262110, 7]-code) [i](u, u+v)-Construction
2Linear OOA(437, 193404, F4, 2, 6) (dual of [(193404, 2), 386771, 7]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(437, 193404, F4, 3, 6) (dual of [(193404, 3), 580175, 7]-NRT-code) [i]
4Digital (31, 37, 193404)-net over F4 [i]
5Linear OA(446, 262153, F4, 7) (dual of [262153, 262107, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(437, 262153, F4, 6) (dual of [262153, 262116, 7]-code) [i]✔
7Linear OA(456, 262163, F4, 8) (dual of [262163, 262107, 9]-code) [i]✔
8Linear OA(458, 262165, F4, 9) (dual of [262165, 262107, 10]-code) [i]✔
9Linear OA(440, 262165, F4, 6) (dual of [262165, 262125, 7]-code) [i]✔
10Linear OA(469, 262176, F4, 10) (dual of [262176, 262107, 11]-code) [i]✔
11Linear OA(480, 262187, F4, 11) (dual of [262187, 262107, 12]-code) [i]✔
12Linear OA(458, 262167, F4, 8) (dual of [262167, 262109, 9]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(447, 262155, F4, 7) (dual of [262155, 262108, 8]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(438, 262155, F4, 6) (dual of [262155, 262117, 7]-code) [i]✔
15Linear OA(456, 262164, F4, 8) (dual of [262164, 262108, 9]-code) [i]✔