Information on Result #721714

Linear OA(1667, 255, F16, 38) (dual of [255, 188, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39

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(1675, 278, F16, 38) (dual of [278, 203, 39]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(1669, 259, F16, 39) (dual of [259, 190, 40]-code) [i]✔
3Linear OA(1672, 262, F16, 40) (dual of [262, 190, 41]-code) [i]✔
4Linear OA(1687, 282, F16, 44) (dual of [282, 195, 45]-code) [i]✔
5Linear OA(1675, 265, F16, 41) (dual of [265, 190, 42]-code) [i]✔
6Linear OA(1686, 280, F16, 44) (dual of [280, 194, 45]-code) [i]✔
7Linear OA(1678, 268, F16, 42) (dual of [268, 190, 43]-code) [i]✔
8Linear OA(1685, 277, F16, 44) (dual of [277, 192, 45]-code) [i]✔
9Linear OA(1681, 271, F16, 43) (dual of [271, 190, 44]-code) [i]✔
10Linear OA(1684, 274, F16, 44) (dual of [274, 190, 45]-code) [i]✔
11Linear OA(1688, 278, F16, 45) (dual of [278, 190, 46]-code) [i]✔
12Linear OA(1691, 281, F16, 46) (dual of [281, 190, 47]-code) [i]✔
13Linear OA(1671, 259, F16, 40) (dual of [259, 188, 41]-code) [i]✔
14Linear OA(1677, 265, F16, 42) (dual of [265, 188, 43]-code) [i]✔
15Linear OA(1683, 271, F16, 44) (dual of [271, 188, 45]-code) [i]✔
16Linear OA(1690, 278, F16, 46) (dual of [278, 188, 47]-code) [i]✔
17Linear OA(1689, 277, F16, 46) (dual of [277, 188, 47]-code) [i]✔
18Linear OA(1692, 280, F16, 47) (dual of [280, 188, 48]-code) [i]✔
19Linear OA(1695, 283, F16, 48) (dual of [283, 188, 49]-code) [i]✔