Information on Result #616637

Linear OA(16100, 256, F16, 58) (dual of [256, 156, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58

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(16102, 258, F16, 59) (dual of [258, 156, 60]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(16100, 258, F16, 58) (dual of [258, 158, 59]-code) [i]
3Linear OA(16105, 261, F16, 60) (dual of [261, 156, 61]-code) [i]
4Linear OA(16101, 261, F16, 58) (dual of [261, 160, 59]-code) [i]
5Linear OA(16108, 264, F16, 61) (dual of [264, 156, 62]-code) [i]
6Linear OA(16102, 264, F16, 58) (dual of [264, 162, 59]-code) [i]
7Linear OA(16111, 267, F16, 62) (dual of [267, 156, 63]-code) [i]
8Linear OA(16103, 267, F16, 58) (dual of [267, 164, 59]-code) [i]
9Linear OA(16114, 270, F16, 63) (dual of [270, 156, 64]-code) [i]
10Linear OA(16104, 270, F16, 58) (dual of [270, 166, 59]-code) [i]
11Linear OA(16122, 278, F16, 68) (dual of [278, 156, 69]-code) [i]
12Linear OA(16118, 273, F16, 65) (dual of [273, 155, 66]-code) [i]
13Linear OA(16117, 273, F16, 64) (dual of [273, 156, 65]-code) [i]
14Linear OA(16105, 273, F16, 58) (dual of [273, 168, 59]-code) [i]
15Linear OA(16124, 280, F16, 69) (dual of [280, 156, 70]-code) [i]
16Linear OA(16107, 276, F16, 58) (dual of [276, 169, 59]-code) [i]
17Linear OA(16128, 284, F16, 70) (dual of [284, 156, 71]-code) [i]
18Linear OA(16112, 283, F16, 58) (dual of [283, 171, 59]-code) [i]
19Linear OA(16113, 286, F16, 58) (dual of [286, 173, 59]-code) [i]
20Linear OA(16114, 289, F16, 58) (dual of [289, 175, 59]-code) [i]
21Linear OA(16119, 274, F16, 66) (dual of [274, 155, 67]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(16111, 281, F16, 58) (dual of [281, 170, 59]-code) [i]