Information on Result #616458

Linear OA(1656, 256, F16, 30) (dual of [256, 200, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(1658, 258, F16, 31) (dual of [258, 200, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(1656, 258, F16, 30) (dual of [258, 202, 31]-code) [i]✔
3Linear OA(1663, 263, F16, 34) (dual of [263, 200, 35]-code) [i]✔
4Linear OA(1657, 261, F16, 30) (dual of [261, 204, 31]-code) [i]✔
5Linear OA(1665, 265, F16, 35) (dual of [265, 200, 36]-code) [i]✔
6Linear OA(1658, 264, F16, 30) (dual of [264, 206, 31]-code) [i]✔
7Linear OA(1668, 268, F16, 36) (dual of [268, 200, 37]-code) [i]✔
8Linear OA(1659, 267, F16, 30) (dual of [267, 208, 31]-code) [i]✔
9Linear OA(1671, 271, F16, 37) (dual of [271, 200, 38]-code) [i]✔
10Linear OA(1674, 273, F16, 38) (dual of [273, 199, 39]-code) [i]✔
11Linear OA(1675, 275, F16, 38) (dual of [275, 200, 39]-code) [i]✔