Information on Result #722162

Linear OA(1686, 255, F16, 50) (dual of [255, 169, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51

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(1686, 255, F16, 49) (dual of [255, 169, 50]-code) [i]Strength Reduction
2Linear OA(1686, 255, F16, 48) (dual of [255, 169, 49]-code) [i]
3Linear OA(4172, 510, F4, 50) (dual of [510, 338, 51]-code) [i]Trace Code
4Linear OA(1693, 275, F16, 50) (dual of [275, 182, 51]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(1694, 286, F16, 50) (dual of [286, 192, 51]-code) [i]
6Linear OA(16106, 275, F16, 58) (dual of [275, 169, 59]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(16113, 282, F16, 60) (dual of [282, 169, 61]-code) [i]✔
8Linear OA(16109, 278, F16, 59) (dual of [278, 169, 60]-code) [i]✔
9Linear OA(16116, 285, F16, 61) (dual of [285, 169, 62]-code) [i]✔
10Linear OA(16123, 292, F16, 63) (dual of [292, 169, 64]-code) [i]✔
11Linear OA(16112, 281, F16, 60) (dual of [281, 169, 61]-code) [i]✔
12Linear OA(16119, 288, F16, 62) (dual of [288, 169, 63]-code) [i]✔
13Linear OA(16126, 295, F16, 64) (dual of [295, 169, 65]-code) [i]✔
14Linear OA(16115, 284, F16, 61) (dual of [284, 169, 62]-code) [i]✔
15Linear OA(16122, 291, F16, 63) (dual of [291, 169, 64]-code) [i]✔
16Linear OA(16118, 287, F16, 62) (dual of [287, 169, 63]-code) [i]✔
17Linear OA(16125, 294, F16, 64) (dual of [294, 169, 65]-code) [i]✔
18Linear OOA(1686, 127, F16, 2, 50) (dual of [(127, 2), 168, 51]-NRT-code) [i]OOA Folding