Information on Result #722292

Linear OA(16113, 255, F16, 69) (dual of [255, 142, 70]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,68], and designed minimum distance d ≥ |I|+1 = 70

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(16129, 288, F16, 70) (dual of [288, 159, 71]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(16128, 285, F16, 70) (dual of [285, 157, 71]-code) [i]✔
3Linear OA(16126, 281, F16, 70) (dual of [281, 155, 71]-code) [i]✔
4Linear OA(16125, 278, F16, 70) (dual of [278, 153, 71]-code) [i]✔
5Linear OA(16129, 284, F16, 71) (dual of [284, 155, 72]-code) [i]✔
6Linear OA(16123, 274, F16, 70) (dual of [274, 151, 71]-code) [i]✔
7Linear OA(16122, 271, F16, 70) (dual of [271, 149, 71]-code) [i]✔
8Linear OA(16126, 277, F16, 71) (dual of [277, 151, 72]-code) [i]✔
9Linear OA(16121, 268, F16, 70) (dual of [268, 147, 71]-code) [i]✔
10Linear OA(16129, 280, F16, 72) (dual of [280, 151, 73]-code) [i]✔
11Linear OA(16120, 265, F16, 70) (dual of [265, 145, 71]-code) [i]✔
12Linear OA(16117, 259, F16, 71) (dual of [259, 142, 72]-code) [i]✔
13Linear OA(16120, 262, F16, 72) (dual of [262, 142, 73]-code) [i]✔
14Linear OA(16123, 265, F16, 73) (dual of [265, 142, 74]-code) [i]✔
15Linear OA(16126, 268, F16, 74) (dual of [268, 142, 75]-code) [i]✔
16Linear OA(16129, 271, F16, 75) (dual of [271, 142, 76]-code) [i]✔