Information on Result #721654

Linear OA(1661, 255, F16, 35) (dual of [255, 194, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36

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(1670, 274, F16, 36) (dual of [274, 204, 37]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(1669, 272, F16, 36) (dual of [272, 203, 37]-code) [i]✔
3Linear OA(1673, 277, F16, 37) (dual of [277, 204, 38]-code) [i]✔
4Linear OA(1668, 269, F16, 36) (dual of [269, 201, 37]-code) [i]✔
5Linear OA(1672, 275, F16, 37) (dual of [275, 203, 38]-code) [i]✔
6Linear OA(1667, 266, F16, 36) (dual of [266, 199, 37]-code) [i]✔
7Linear OA(1675, 278, F16, 38) (dual of [278, 203, 39]-code) [i]✔
8Linear OA(1666, 263, F16, 36) (dual of [263, 197, 37]-code) [i]✔
9Linear OA(1665, 259, F16, 37) (dual of [259, 194, 38]-code) [i]✔
10Linear OA(1668, 262, F16, 38) (dual of [262, 194, 39]-code) [i]✔
11Linear OA(1671, 265, F16, 39) (dual of [265, 194, 40]-code) [i]✔
12Linear OA(1674, 268, F16, 40) (dual of [268, 194, 41]-code) [i]✔
13Linear OA(1677, 271, F16, 41) (dual of [271, 194, 42]-code) [i]✔
14Linear OA(1680, 274, F16, 42) (dual of [274, 194, 43]-code) [i]✔
15Linear OA(1684, 278, F16, 43) (dual of [278, 194, 44]-code) [i]✔
16Linear OA(1687, 281, F16, 44) (dual of [281, 194, 45]-code) [i]✔
17Linear OA(1683, 277, F16, 43) (dual of [277, 194, 44]-code) [i]✔
18Linear OA(1686, 280, F16, 44) (dual of [280, 194, 45]-code) [i]✔
19Linear OA(1689, 283, F16, 45) (dual of [283, 194, 46]-code) [i]✔