Information on Result #706260

Linear OA(455, 255, F4, 19) (dual of [255, 200, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(455, 185, F4, 2, 19) (dual of [(185, 2), 315, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(455, 185, F4, 3, 19) (dual of [(185, 3), 500, 20]-NRT-code) [i]
3Digital (36, 55, 185)-net over F4 [i]
4Linear OA(475, 285, F4, 23) (dual of [285, 210, 24]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(459, 263, F4, 20) (dual of [263, 204, 21]-code) [i]✔
6Linear OA(472, 278, F4, 23) (dual of [278, 206, 24]-code) [i]✔
7Linear OA(479, 285, F4, 24) (dual of [285, 206, 25]-code) [i]✔
8Linear OA(478, 283, F4, 24) (dual of [283, 205, 25]-code) [i]✔
9Linear OA(471, 275, F4, 23) (dual of [275, 204, 24]-code) [i]✔
10Linear OA(477, 280, F4, 24) (dual of [280, 203, 25]-code) [i]✔
11Linear OA(469, 269, F4, 23) (dual of [269, 200, 24]-code) [i]✔
12Linear OA(476, 276, F4, 25) (dual of [276, 200, 26]-code) [i]✔
13Linear OA(483, 283, F4, 26) (dual of [283, 200, 27]-code) [i]✔
14Linear OA(482, 281, F4, 26) (dual of [281, 199, 27]-code) [i]✔
15Linear OA(482, 282, F4, 26) (dual of [282, 200, 27]-code) [i]✔
16Linear OA(488, 287, F4, 27) (dual of [287, 199, 28]-code) [i]✔
17Linear OA(487, 287, F4, 27) (dual of [287, 200, 28]-code) [i]✔