Information on Result #612903

Linear OA(471, 256, F4, 25) (dual of [256, 185, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(483, 269, F4, 25) (dual of [269, 186, 26]-code) [i](u, u+v)-Construction
2Linear OA(476, 280, F4, 25) (dual of [280, 204, 26]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(477, 293, F4, 25) (dual of [293, 216, 26]-code) [i]
4Linear OA(475, 260, F4, 26) (dual of [260, 185, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(472, 261, F4, 25) (dual of [261, 189, 26]-code) [i]✔
6Linear OA(480, 265, F4, 27) (dual of [265, 185, 28]-code) [i]✔
7Linear OA(472, 265, F4, 24) (dual of [265, 193, 25]-code) [i]✔
8Linear OA(474, 267, F4, 25) (dual of [267, 193, 26]-code) [i]✔
9Linear OA(487, 272, F4, 29) (dual of [272, 185, 30]-code) [i]✔
10Linear OA(475, 272, F4, 25) (dual of [272, 197, 26]-code) [i]✔
11Linear OA(493, 277, F4, 30) (dual of [277, 184, 31]-code) [i]✔
12Linear OA(494, 279, F4, 30) (dual of [279, 185, 31]-code) [i]✔
13Linear OA(480, 280, F4, 25) (dual of [280, 200, 26]-code) [i]✔
14Linear OA(481, 282, F4, 25) (dual of [282, 201, 26]-code) [i]✔
15Linear OA(477, 277, F4, 24) (dual of [277, 200, 25]-code) [i]✔
16Linear OA(478, 279, F4, 24) (dual of [279, 201, 25]-code) [i]✔
17Linear OA(4101, 286, F4, 31) (dual of [286, 185, 32]-code) [i]✔
18Linear OA(483, 288, F4, 25) (dual of [288, 205, 26]-code) [i]✔
19Linear OA(4109, 291, F4, 34) (dual of [291, 182, 35]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(4100, 283, F4, 31) (dual of [283, 183, 32]-code) [i]✔
21Linear OA(499, 281, F4, 31) (dual of [281, 182, 32]-code) [i]✔
22Linear OA(492, 274, F4, 30) (dual of [274, 182, 31]-code) [i]✔
23Linear OA(498, 286, F4, 30) (dual of [286, 188, 31]-code) [i]✔
24Linear OA(497, 284, F4, 30) (dual of [284, 187, 31]-code) [i]✔
25Linear OA(496, 282, F4, 30) (dual of [282, 186, 31]-code) [i]✔
26Linear OA(485, 267, F4, 28) (dual of [267, 182, 29]-code) [i]✔
27Linear OA(491, 278, F4, 29) (dual of [278, 187, 30]-code) [i]✔
28Linear OA(489, 275, F4, 29) (dual of [275, 186, 30]-code) [i]✔
29Linear OA(482, 268, F4, 27) (dual of [268, 186, 28]-code) [i]✔
30Linear OA(477, 263, F4, 26) (dual of [263, 186, 27]-code) [i]✔
31Linear OA(473, 263, F4, 25) (dual of [263, 190, 26]-code) [i]✔
32Linear OA(473, 267, F4, 24) (dual of [267, 194, 25]-code) [i]✔
33Linear OA(479, 278, F4, 25) (dual of [278, 199, 26]-code) [i]✔
34Linear OA(477, 275, F4, 25) (dual of [275, 198, 26]-code) [i]✔
35Linear OA(480, 283, F4, 24) (dual of [283, 203, 25]-code) [i]✔
36Linear OA(482, 284, F4, 25) (dual of [284, 202, 26]-code) [i]✔
37Linear OA(479, 281, F4, 24) (dual of [281, 202, 25]-code) [i]✔
38Linear OOA(471, 128, F4, 2, 25) (dual of [(128, 2), 185, 26]-NRT-code) [i]OOA Folding