Information on Result #722089

Linear OA(16100, 255, F16, 58) (dual of [255, 155, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(16115, 295, F16, 58) (dual of [295, 180, 59]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(16112, 288, F16, 58) (dual of [288, 176, 59]-code) [i]✔
3Linear OA(16122, 289, F16, 64) (dual of [289, 167, 65]-code) [i]✔
4Linear OA(16102, 259, F16, 59) (dual of [259, 157, 60]-code) [i]✔
5Linear OA(16121, 286, F16, 64) (dual of [286, 165, 65]-code) [i]✔
6Linear OA(16105, 262, F16, 60) (dual of [262, 157, 61]-code) [i]✔
7Linear OA(16120, 283, F16, 64) (dual of [283, 163, 65]-code) [i]✔
8Linear OA(16108, 265, F16, 61) (dual of [265, 157, 62]-code) [i]✔
9Linear OA(16119, 280, F16, 64) (dual of [280, 161, 65]-code) [i]✔
10Linear OA(16111, 268, F16, 62) (dual of [268, 157, 63]-code) [i]✔
11Linear OA(16118, 277, F16, 64) (dual of [277, 159, 65]-code) [i]✔
12Linear OA(16114, 271, F16, 63) (dual of [271, 157, 64]-code) [i]✔
13Linear OA(16117, 274, F16, 64) (dual of [274, 157, 65]-code) [i]✔
14Linear OA(16104, 259, F16, 60) (dual of [259, 155, 61]-code) [i]✔
15Linear OA(16107, 262, F16, 61) (dual of [262, 155, 62]-code) [i]✔
16Linear OA(16110, 265, F16, 62) (dual of [265, 155, 63]-code) [i]✔
17Linear OA(16113, 268, F16, 63) (dual of [268, 155, 64]-code) [i]✔
18Linear OA(16116, 271, F16, 64) (dual of [271, 155, 65]-code) [i]✔