Information on Result #604645

Linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using dual of repetition code with length 9

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(4132, 4114, F4, 26) (dual of [4114, 3982, 27]-code) [i](u, u−v, u+v+w)-Construction
2Linear OA(4151, 16402, F4, 26) (dual of [16402, 16251, 27]-code) [i]
3Linear OA(4170, 65554, F4, 26) (dual of [65554, 65384, 27]-code) [i]
4Linear OA(4189, 262162, F4, 26) (dual of [262162, 261973, 27]-code) [i]
5Linear OA(4208, 1048594, F4, 26) (dual of [1048594, 1048386, 27]-code) [i]
6Linear OA(4227, 4194322, F4, 26) (dual of [4194322, 4194095, 27]-code) [i]
7Linear OA(481, 4106, F4, 17) (dual of [4106, 4025, 18]-code) [i]Construction X with Cyclic Codes
8Linear OA(493, 16394, F4, 17) (dual of [16394, 16301, 18]-code) [i]
9Linear OA(4105, 65546, F4, 17) (dual of [65546, 65441, 18]-code) [i]
10Linear OA(4117, 262154, F4, 17) (dual of [262154, 262037, 18]-code) [i]
11Linear OA(4129, 1048586, F4, 17) (dual of [1048586, 1048457, 18]-code) [i]
12Linear OA(4141, 4194314, F4, 17) (dual of [4194314, 4194173, 18]-code) [i]
13Linear OA(451, 74, F4, 19) (dual of [74, 23, 20]-code) [i]
14Linear OA(479, 1034, F4, 19) (dual of [1034, 955, 20]-code) [i]
15Linear OA(493, 4106, F4, 19) (dual of [4106, 4013, 20]-code) [i]
16Linear OA(4107, 16394, F4, 19) (dual of [16394, 16287, 20]-code) [i]
17Linear OA(4121, 65546, F4, 19) (dual of [65546, 65425, 20]-code) [i]
18Linear OA(4135, 262154, F4, 19) (dual of [262154, 262019, 20]-code) [i]
19Linear OA(4149, 1048586, F4, 19) (dual of [1048586, 1048437, 20]-code) [i]
20Linear OA(4163, 4194314, F4, 19) (dual of [4194314, 4194151, 20]-code) [i]
21Linear OA(4135, 144, F4, 53) (dual of [144, 9, 54]-code) [i]
22Linear OA(4138, 144, F4, 71) (dual of [144, 6, 72]-code) [i]
23Linear OA(4156, 164, F4, 79) (dual of [164, 8, 80]-code) [i]
24Linear OA(4251, 276, F4, 97) (dual of [276, 25, 98]-code) [i]
25Linear OA(4122, 65563, F4, 19) (dual of [65563, 65441, 20]-code) [i]Construction XX with Cyclic Codes
26Linear OA(443, 16392, F4, 8) (dual of [16392, 16349, 9]-code) [i]Construction X4 with Cyclic Codes
27Linear OA(437, 16393, F4, 7) (dual of [16393, 16356, 8]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
28Linear OA(430, 16393, F4, 6) (dual of [16393, 16363, 7]-code) [i]
29Linear OA(423, 16393, F4, 5) (dual of [16393, 16370, 6]-code) [i]