Information on Result #616464

Linear OA(1658, 256, F16, 31) (dual of [256, 198, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(1662, 260, F16, 34) (dual of [260, 198, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(1658, 258, F16, 31) (dual of [258, 200, 32]-code) [i]✔
3Linear OA(1664, 262, F16, 35) (dual of [262, 198, 36]-code) [i]✔
4Linear OA(1659, 261, F16, 31) (dual of [261, 202, 32]-code) [i]✔
5Linear OA(1667, 265, F16, 36) (dual of [265, 198, 37]-code) [i]✔
6Linear OA(1660, 264, F16, 31) (dual of [264, 204, 32]-code) [i]✔
7Linear OA(1670, 268, F16, 37) (dual of [268, 198, 38]-code) [i]✔
8Linear OA(1661, 267, F16, 31) (dual of [267, 206, 32]-code) [i]✔
9Linear OA(1673, 271, F16, 38) (dual of [271, 198, 39]-code) [i]✔
10Linear OA(1676, 273, F16, 39) (dual of [273, 197, 40]-code) [i]✔
11Linear OA(1677, 275, F16, 39) (dual of [275, 198, 40]-code) [i]✔
12Linear OA(1679, 276, F16, 40) (dual of [276, 197, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes