Information on Result #612998

Linear OA(491, 256, F4, 31) (dual of [256, 165, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(496, 261, F4, 33) (dual of [261, 165, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(497, 261, F4, 34) (dual of [261, 164, 35]-code) [i]✔
3Linear OA(498, 263, F4, 34) (dual of [263, 165, 35]-code) [i]✔
4Linear OA(491, 260, F4, 31) (dual of [260, 169, 32]-code) [i]✔
5Linear OA(4100, 262, F4, 35) (dual of [262, 162, 36]-code) [i]✔
6Linear OA(4101, 266, F4, 35) (dual of [266, 165, 36]-code) [i]✔
7Linear OA(492, 265, F4, 31) (dual of [265, 173, 32]-code) [i]✔
8Linear OA(4108, 272, F4, 37) (dual of [272, 164, 38]-code) [i]✔
9Linear OA(4109, 274, F4, 37) (dual of [274, 165, 38]-code) [i]✔
10Linear OA(4107, 272, F4, 36) (dual of [272, 165, 37]-code) [i]✔
11Linear OA(495, 272, F4, 31) (dual of [272, 177, 32]-code) [i]✔
12Linear OA(4115, 280, F4, 38) (dual of [280, 165, 39]-code) [i]✔
13Linear OA(497, 277, F4, 31) (dual of [277, 180, 32]-code) [i]✔
14Linear OA(498, 279, F4, 31) (dual of [279, 181, 32]-code) [i]✔
15Linear OA(4120, 282, F4, 39) (dual of [282, 162, 40]-code) [i]✔
16Linear OA(4122, 287, F4, 39) (dual of [287, 165, 40]-code) [i]✔
17Linear OA(4101, 286, F4, 31) (dual of [286, 185, 32]-code) [i]✔
18Linear OA(4130, 292, F4, 41) (dual of [292, 162, 42]-code) [i]✔
19Linear OA(4131, 296, F4, 41) (dual of [296, 165, 42]-code) [i]✔
20Linear OA(4108, 273, F4, 37) (dual of [273, 165, 38]-code) [i]✔
21Linear OA(4128, 291, F4, 40) (dual of [291, 163, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(4129, 291, F4, 41) (dual of [291, 162, 42]-code) [i]✔
23Linear OA(4126, 288, F4, 40) (dual of [288, 162, 41]-code) [i]✔
24Linear OA(4130, 294, F4, 41) (dual of [294, 164, 42]-code) [i]✔
25Linear OA(4128, 292, F4, 40) (dual of [292, 164, 41]-code) [i]✔
26Linear OA(4129, 292, F4, 41) (dual of [292, 163, 42]-code) [i]✔
27Linear OA(4127, 290, F4, 40) (dual of [290, 163, 41]-code) [i]✔
28Linear OA(4128, 290, F4, 41) (dual of [290, 162, 42]-code) [i]✔
29Linear OA(4121, 285, F4, 39) (dual of [285, 164, 40]-code) [i]✔
30Linear OA(4120, 283, F4, 39) (dual of [283, 163, 40]-code) [i]✔
31Linear OA(4118, 280, F4, 39) (dual of [280, 162, 40]-code) [i]✔
32Linear OA(4125, 293, F4, 39) (dual of [293, 168, 40]-code) [i]✔
33Linear OA(4124, 291, F4, 39) (dual of [291, 167, 40]-code) [i]✔
34Linear OA(4123, 289, F4, 39) (dual of [289, 166, 40]-code) [i]✔
35Linear OA(4114, 276, F4, 38) (dual of [276, 162, 39]-code) [i]✔
36Linear OA(4114, 278, F4, 38) (dual of [278, 164, 39]-code) [i]✔
37Linear OA(4113, 276, F4, 38) (dual of [276, 163, 39]-code) [i]✔
38Linear OA(4112, 274, F4, 38) (dual of [274, 162, 39]-code) [i]✔
39Linear OA(4106, 269, F4, 36) (dual of [269, 163, 37]-code) [i]✔
40Linear OA(4107, 269, F4, 37) (dual of [269, 162, 38]-code) [i]✔
41Linear OA(4105, 267, F4, 36) (dual of [267, 162, 37]-code) [i]✔
42Linear OA(4109, 276, F4, 36) (dual of [276, 167, 37]-code) [i]✔
43Linear OA(4108, 274, F4, 36) (dual of [274, 166, 37]-code) [i]✔
44Linear OA(4102, 268, F4, 35) (dual of [268, 166, 36]-code) [i]✔
45Linear OA(497, 263, F4, 33) (dual of [263, 166, 34]-code) [i]✔
46Linear OA(494, 268, F4, 31) (dual of [268, 174, 32]-code) [i]✔
47Linear OA(496, 274, F4, 31) (dual of [274, 178, 32]-code) [i]✔
48Linear OA(4100, 283, F4, 31) (dual of [283, 183, 32]-code) [i]✔
49Linear OA(499, 281, F4, 31) (dual of [281, 182, 32]-code) [i]✔
50Linear OA(4109, 275, F4, 37) (dual of [275, 166, 38]-code) [i]✔