Information on Result #612803

Linear OA(455, 256, F4, 19) (dual of [256, 201, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(464, 266, F4, 19) (dual of [266, 202, 20]-code) [i](u, u+v)-Construction
2Linear OA(460, 261, F4, 21) (dual of [261, 201, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(455, 260, F4, 19) (dual of [260, 205, 20]-code) [i]✔
4Linear OA(466, 267, F4, 22) (dual of [267, 201, 23]-code) [i]✔
5Linear OA(456, 263, F4, 19) (dual of [263, 207, 20]-code) [i]✔
6Linear OA(471, 272, F4, 23) (dual of [272, 201, 24]-code) [i]✔
7Linear OA(459, 270, F4, 19) (dual of [270, 211, 20]-code) [i]✔
8Linear OA(480, 280, F4, 25) (dual of [280, 200, 26]-code) [i]✔
9Linear OA(481, 282, F4, 25) (dual of [282, 201, 26]-code) [i]✔
10Linear OA(477, 277, F4, 24) (dual of [277, 200, 25]-code) [i]✔
11Linear OA(478, 279, F4, 24) (dual of [279, 201, 25]-code) [i]✔
12Linear OA(461, 276, F4, 19) (dual of [276, 215, 20]-code) [i]✔
13Linear OA(464, 280, F4, 19) (dual of [280, 216, 20]-code) [i]✔
14Linear OA(465, 284, F4, 19) (dual of [284, 219, 20]-code) [i]✔
15Linear OA(486, 286, F4, 26) (dual of [286, 200, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(485, 284, F4, 26) (dual of [284, 199, 27]-code) [i]✔
17Linear OA(484, 282, F4, 26) (dual of [282, 198, 27]-code) [i]✔
18Linear OA(479, 278, F4, 25) (dual of [278, 199, 26]-code) [i]✔
19Linear OA(477, 275, F4, 25) (dual of [275, 198, 26]-code) [i]✔
20Linear OA(480, 283, F4, 24) (dual of [283, 203, 25]-code) [i]✔
21Linear OA(482, 284, F4, 25) (dual of [284, 202, 26]-code) [i]✔
22Linear OA(479, 281, F4, 24) (dual of [281, 202, 25]-code) [i]✔
23Linear OA(470, 268, F4, 23) (dual of [268, 198, 24]-code) [i]✔
24Linear OA(472, 274, F4, 23) (dual of [274, 202, 24]-code) [i]✔
25Linear OA(465, 263, F4, 22) (dual of [263, 198, 23]-code) [i]✔
26Linear OA(461, 263, F4, 21) (dual of [263, 202, 22]-code) [i]✔
27Linear OA(460, 272, F4, 19) (dual of [272, 212, 20]-code) [i]✔
28Linear OA(464, 281, F4, 19) (dual of [281, 217, 20]-code) [i]✔
29Linear OA(462, 278, F4, 19) (dual of [278, 216, 20]-code) [i]✔