Information on Result #612704

Linear OA(437, 256, F4, 13) (dual of [256, 219, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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(443, 263, F4, 13) (dual of [263, 220, 14]-code) [i](u, u+v)-Construction
2Linear OA(444, 265, F4, 13) (dual of [265, 221, 14]-code) [i]
3Linear OA(443, 284, F4, 13) (dual of [284, 241, 14]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(444, 303, F4, 13) (dual of [303, 259, 14]-code) [i]
5Linear OA(441, 260, F4, 14) (dual of [260, 219, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(438, 261, F4, 13) (dual of [261, 223, 14]-code) [i]✔
7Linear OA(446, 265, F4, 15) (dual of [265, 219, 16]-code) [i]✔
8Linear OA(438, 265, F4, 12) (dual of [265, 227, 13]-code) [i]✔
9Linear OA(440, 267, F4, 13) (dual of [267, 227, 14]-code) [i]✔
10Linear OA(453, 272, F4, 17) (dual of [272, 219, 18]-code) [i]✔
11Linear OA(441, 272, F4, 13) (dual of [272, 231, 14]-code) [i]✔
12Linear OA(457, 276, F4, 18) (dual of [276, 219, 19]-code) [i]✔
13Linear OA(443, 277, F4, 12) (dual of [277, 234, 13]-code) [i]✔
14Linear OA(464, 280, F4, 19) (dual of [280, 216, 20]-code) [i]✔
15Linear OA(465, 284, F4, 19) (dual of [284, 219, 20]-code) [i]✔
16Linear OA(464, 281, F4, 19) (dual of [281, 217, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(462, 278, F4, 19) (dual of [278, 216, 20]-code) [i]✔
18Linear OA(456, 272, F4, 18) (dual of [272, 216, 19]-code) [i]✔
19Linear OA(462, 284, F4, 18) (dual of [284, 222, 19]-code) [i]✔
20Linear OA(461, 282, F4, 18) (dual of [282, 221, 19]-code) [i]✔
21Linear OA(459, 279, F4, 18) (dual of [279, 220, 19]-code) [i]✔
22Linear OA(451, 267, F4, 16) (dual of [267, 216, 17]-code) [i]✔
23Linear OA(457, 278, F4, 17) (dual of [278, 221, 18]-code) [i]✔
24Linear OA(455, 275, F4, 17) (dual of [275, 220, 18]-code) [i]✔
25Linear OA(448, 268, F4, 15) (dual of [268, 220, 16]-code) [i]✔
26Linear OA(443, 263, F4, 14) (dual of [263, 220, 15]-code) [i]✔
27Linear OA(439, 263, F4, 13) (dual of [263, 224, 14]-code) [i]✔
28Linear OA(439, 267, F4, 12) (dual of [267, 228, 13]-code) [i]✔
29Linear OA(443, 275, F4, 13) (dual of [275, 232, 14]-code) [i]✔
30Linear OOA(437, 128, F4, 2, 13) (dual of [(128, 2), 219, 14]-NRT-code) [i]OOA Folding