Information on Result #612862

Linear OA(459, 256, F4, 21) (dual of [256, 197, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(469, 267, F4, 21) (dual of [267, 198, 22]-code) [i](u, u+v)-Construction
2Linear OA(471, 272, F4, 21) (dual of [272, 201, 22]-code) [i]
3Linear OA(465, 277, F4, 21) (dual of [277, 212, 22]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(466, 288, F4, 21) (dual of [288, 222, 22]-code) [i]
5Linear OA(467, 303, F4, 21) (dual of [303, 236, 22]-code) [i]
6Linear OA(468, 321, F4, 21) (dual of [321, 253, 22]-code) [i]
7Linear OA(469, 342, F4, 21) (dual of [342, 273, 22]-code) [i]
8Linear OA(470, 365, F4, 21) (dual of [365, 295, 22]-code) [i]
9Linear OA(463, 260, F4, 22) (dual of [260, 197, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(460, 261, F4, 21) (dual of [261, 201, 22]-code) [i]✔
11Linear OA(468, 265, F4, 23) (dual of [265, 197, 24]-code) [i]✔
12Linear OA(460, 265, F4, 20) (dual of [265, 205, 21]-code) [i]✔
13Linear OA(462, 267, F4, 21) (dual of [267, 205, 22]-code) [i]✔
14Linear OA(475, 272, F4, 25) (dual of [272, 197, 26]-code) [i]✔
15Linear OA(463, 270, F4, 21) (dual of [270, 207, 22]-code) [i]✔
16Linear OA(481, 277, F4, 26) (dual of [277, 196, 27]-code) [i]✔
17Linear OA(482, 279, F4, 26) (dual of [279, 197, 27]-code) [i]✔
18Linear OA(468, 279, F4, 21) (dual of [279, 211, 22]-code) [i]✔
19Linear OA(465, 276, F4, 20) (dual of [276, 211, 21]-code) [i]✔
20Linear OA(489, 286, F4, 27) (dual of [286, 197, 28]-code) [i]✔
21Linear OA(469, 281, F4, 21) (dual of [281, 212, 22]-code) [i]✔
22Linear OA(471, 286, F4, 21) (dual of [286, 215, 22]-code) [i]✔
23Linear OA(467, 278, F4, 21) (dual of [278, 211, 22]-code) [i]✔
24Linear OA(488, 283, F4, 27) (dual of [283, 195, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(487, 281, F4, 27) (dual of [281, 194, 28]-code) [i]✔
26Linear OA(480, 274, F4, 26) (dual of [274, 194, 27]-code) [i]✔
27Linear OA(486, 286, F4, 26) (dual of [286, 200, 27]-code) [i]✔
28Linear OA(485, 284, F4, 26) (dual of [284, 199, 27]-code) [i]✔
29Linear OA(484, 282, F4, 26) (dual of [282, 198, 27]-code) [i]✔
30Linear OA(473, 267, F4, 24) (dual of [267, 194, 25]-code) [i]✔
31Linear OA(479, 278, F4, 25) (dual of [278, 199, 26]-code) [i]✔
32Linear OA(477, 275, F4, 25) (dual of [275, 198, 26]-code) [i]✔
33Linear OA(470, 268, F4, 23) (dual of [268, 198, 24]-code) [i]✔
34Linear OA(465, 263, F4, 22) (dual of [263, 198, 23]-code) [i]✔
35Linear OA(461, 263, F4, 21) (dual of [263, 202, 22]-code) [i]✔
36Linear OA(461, 267, F4, 20) (dual of [267, 206, 21]-code) [i]✔
37Linear OA(467, 275, F4, 21) (dual of [275, 208, 22]-code) [i]✔
38Linear OA(467, 277, F4, 21) (dual of [277, 210, 22]-code) [i]✔
39Linear OA(466, 275, F4, 21) (dual of [275, 209, 22]-code) [i]✔
40Linear OA(465, 273, F4, 21) (dual of [273, 208, 22]-code) [i]✔
41Linear OA(468, 281, F4, 20) (dual of [281, 213, 21]-code) [i]✔
42Linear OA(466, 278, F4, 20) (dual of [278, 212, 21]-code) [i]✔
43Linear OOA(459, 128, F4, 2, 21) (dual of [(128, 2), 197, 22]-NRT-code) [i]OOA Folding