Information on Result #616651

Linear OA(16110, 256, F16, 63) (dual of [256, 146, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63

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(4220, 512, F4, 63) (dual of [512, 292, 64]-code) [i]Trace Code
2Linear OA(16116, 262, F16, 68) (dual of [262, 146, 69]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(16110, 258, F16, 63) (dual of [258, 148, 64]-code) [i]✔
4Linear OA(16118, 264, F16, 69) (dual of [264, 146, 70]-code) [i]✔
5Linear OA(16111, 261, F16, 63) (dual of [261, 150, 64]-code) [i]✔
6Linear OA(16121, 267, F16, 70) (dual of [267, 146, 71]-code) [i]✔
7Linear OA(16112, 264, F16, 63) (dual of [264, 152, 64]-code) [i]✔
8Linear OA(16124, 270, F16, 71) (dual of [270, 146, 72]-code) [i]✔
9Linear OA(16113, 267, F16, 63) (dual of [267, 154, 64]-code) [i]✔
10Linear OA(16127, 273, F16, 72) (dual of [273, 146, 73]-code) [i]✔
11Linear OA(16114, 270, F16, 63) (dual of [270, 156, 64]-code) [i]✔
12Linear OA(16115, 273, F16, 63) (dual of [273, 158, 64]-code) [i]✔
13Linear OA(16117, 277, F16, 63) (dual of [277, 160, 64]-code) [i]✔
14Linear OA(16118, 280, F16, 63) (dual of [280, 162, 64]-code) [i]✔
15Linear OA(16120, 284, F16, 63) (dual of [284, 164, 64]-code) [i]✔
16Linear OA(16121, 287, F16, 63) (dual of [287, 166, 64]-code) [i]✔
17Linear OA(16122, 289, F16, 63) (dual of [289, 167, 64]-code) [i]✔
18Linear OA(16123, 291, F16, 63) (dual of [291, 168, 64]-code) [i]✔
19Linear OA(16124, 293, F16, 63) (dual of [293, 169, 64]-code) [i]✔
20Linear OA(16130, 275, F16, 73) (dual of [275, 145, 74]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes