Information on Result #616635

Linear OA(1698, 256, F16, 57) (dual of [256, 158, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57

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(4196, 512, F4, 57) (dual of [512, 316, 58]-code) [i]Trace Code
2Linear OA(16100, 258, F16, 58) (dual of [258, 158, 59]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(1698, 258, F16, 57) (dual of [258, 160, 58]-code) [i]✔
4Linear OA(16103, 261, F16, 59) (dual of [261, 158, 60]-code) [i]✔
5Linear OA(1699, 261, F16, 57) (dual of [261, 162, 58]-code) [i]✔
6Linear OA(16106, 264, F16, 60) (dual of [264, 158, 61]-code) [i]✔
7Linear OA(16100, 264, F16, 57) (dual of [264, 164, 58]-code) [i]✔
8Linear OA(16109, 267, F16, 61) (dual of [267, 158, 62]-code) [i]✔
9Linear OA(16101, 267, F16, 57) (dual of [267, 166, 58]-code) [i]✔
10Linear OA(16112, 270, F16, 62) (dual of [270, 158, 63]-code) [i]✔
11Linear OA(16102, 270, F16, 57) (dual of [270, 168, 58]-code) [i]✔
12Linear OA(16115, 273, F16, 63) (dual of [273, 158, 64]-code) [i]✔
13Linear OA(16103, 272, F16, 57) (dual of [272, 169, 58]-code) [i]✔
14Linear OA(16123, 280, F16, 68) (dual of [280, 157, 69]-code) [i]✔
15Linear OA(16124, 282, F16, 68) (dual of [282, 158, 69]-code) [i]✔
16Linear OA(16122, 280, F16, 67) (dual of [280, 158, 68]-code) [i]✔
17Linear OA(16108, 279, F16, 57) (dual of [279, 171, 58]-code) [i]✔
18Linear OA(16126, 284, F16, 69) (dual of [284, 158, 70]-code) [i]✔
19Linear OA(16110, 283, F16, 57) (dual of [283, 173, 58]-code) [i]✔
20Linear OA(16129, 287, F16, 70) (dual of [287, 158, 71]-code) [i]✔
21Linear OA(16111, 286, F16, 57) (dual of [286, 175, 58]-code) [i]✔
22Linear OA(16112, 289, F16, 57) (dual of [289, 177, 58]-code) [i]✔
23Linear OA(16122, 281, F16, 66) (dual of [281, 159, 67]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(16107, 277, F16, 57) (dual of [277, 170, 58]-code) [i]✔
25Linear OA(16109, 281, F16, 57) (dual of [281, 172, 58]-code) [i]✔