Information on Result #2235256

Linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using 4 times truncation based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using

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(415, 43, F4, 7) (dual of [43, 28, 8]-code) [i](u, u+v)-Construction
2Linear OA(420, 94, F4, 7) (dual of [94, 74, 8]-code) [i]Generalized (u, u+v)-Construction
3Linear OA(450, 75, F4, 23) (dual of [75, 25, 24]-code) [i](u, u−v, u+v+w)-Construction
4Linear OA(451, 78, F4, 23) (dual of [78, 27, 24]-code) [i]
5Linear OA(452, 80, F4, 23) (dual of [80, 28, 24]-code) [i]
6Linear OA(453, 82, F4, 23) (dual of [82, 29, 24]-code) [i]
7Linear OA(4116, 283, F4, 37) (dual of [283, 167, 38]-code) [i]Construction X with Cyclic Codes
8Linear OA(4108, 283, F4, 35) (dual of [283, 175, 36]-code) [i]
9Linear OA(4146, 281, F4, 50) (dual of [281, 135, 51]-code) [i]
10Linear OA(474, 285, F4, 22) (dual of [285, 211, 23]-code) [i]Construction XX with Cyclic Codes
11Linear OA(4106, 283, F4, 34) (dual of [283, 177, 35]-code) [i]
12Linear OA(4110, 293, F4, 34) (dual of [293, 183, 35]-code) [i]
13Linear OA(4113, 287, F4, 36) (dual of [287, 174, 37]-code) [i]
14Linear OA(4112, 285, F4, 36) (dual of [285, 173, 37]-code) [i]
15Linear OA(4113, 288, F4, 36) (dual of [288, 175, 37]-code) [i]
16Linear OA(4118, 295, F4, 37) (dual of [295, 177, 38]-code) [i]
17Linear OA(4117, 287, F4, 38) (dual of [287, 170, 39]-code) [i]
18Linear OA(4116, 285, F4, 38) (dual of [285, 169, 39]-code) [i]
19Linear OA(4120, 295, F4, 38) (dual of [295, 175, 39]-code) [i]
20Linear OA(4121, 287, F4, 39) (dual of [287, 166, 40]-code) [i]
21Linear OA(4120, 285, F4, 39) (dual of [285, 165, 40]-code) [i]
22Linear OA(4123, 293, F4, 39) (dual of [293, 170, 40]-code) [i]
23Linear OA(4121, 290, F4, 39) (dual of [290, 169, 40]-code) [i]
24Linear OA(4124, 297, F4, 39) (dual of [297, 173, 40]-code) [i]
25Linear OA(4127, 293, F4, 40) (dual of [293, 166, 41]-code) [i]
26Linear OA(4125, 290, F4, 40) (dual of [290, 165, 41]-code) [i]
27Linear OA(4128, 297, F4, 40) (dual of [297, 169, 41]-code) [i]
28Linear OA(4130, 300, F4, 41) (dual of [300, 170, 42]-code) [i]
29Linear OA(4128, 298, F4, 40) (dual of [298, 170, 41]-code) [i]
30Linear OA(4128, 297, F4, 41) (dual of [297, 169, 42]-code) [i]
31Linear OA(4127, 292, F4, 41) (dual of [292, 165, 42]-code) [i]
32Linear OA(4134, 300, F4, 42) (dual of [300, 166, 43]-code) [i]
33Linear OA(4132, 297, F4, 42) (dual of [297, 165, 43]-code) [i]
34Linear OA(4133, 290, F4, 43) (dual of [290, 157, 44]-code) [i]
35Linear OA(4140, 297, F4, 45) (dual of [297, 157, 46]-code) [i]
36Linear OA(4148, 283, F4, 51) (dual of [283, 135, 52]-code) [i]
37Linear OA(4150, 282, F4, 52) (dual of [282, 132, 53]-code) [i]
38Linear OA(4154, 284, F4, 54) (dual of [284, 130, 55]-code) [i]
39Linear OA(4208, 287, F4, 95) (dual of [287, 79, 96]-code) [i]
40Linear OA(4258, 1056, F4, 70) (dual of [1056, 798, 71]-code) [i]
41Linear OA(4257, 1054, F4, 70) (dual of [1054, 797, 71]-code) [i]
42Linear OA(4257, 1050, F4, 70) (dual of [1050, 793, 71]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
43Linear OA(4252, 1050, F4, 69) (dual of [1050, 798, 70]-code) [i]
44Linear OA(4203, 282, F4, 94) (dual of [282, 79, 95]-code) [i]
45Linear OA(4150, 281, F4, 53) (dual of [281, 131, 54]-code) [i]
46Linear OA(4148, 282, F4, 51) (dual of [282, 134, 52]-code) [i]
47Linear OA(4120, 282, F4, 39) (dual of [282, 162, 40]-code) [i]
48Linear OA(4116, 282, F4, 38) (dual of [282, 166, 39]-code) [i]
49Linear OA(4112, 282, F4, 37) (dual of [282, 170, 38]-code) [i]
50Linear OOA(411, 13, F4, 2, 7) (dual of [(13, 2), 15, 8]-NRT-code) [i]OOA Folding