Information on Result #609422

Linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using Simplex code S(3,4)

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(417, 20, F4, 14) (dual of [20, 3, 15]-code) [i]Truncation
2Linear OA(416, 19, F4, 13) (dual of [19, 3, 14]-code) [i]
3Linear OA(415, 18, F4, 12) (dual of [18, 3, 13]-code) [i]
4Linear OA(4249, 252, F4, 191) (dual of [252, 3, 192]-code) [i]Repeating Each Code Word
5Linear OA(4228, 231, F4, 175) (dual of [231, 3, 176]-code) [i]
6Linear OA(4207, 210, F4, 159) (dual of [210, 3, 160]-code) [i]
7Linear OA(4186, 189, F4, 143) (dual of [189, 3, 144]-code) [i]
8Linear OA(4165, 168, F4, 127) (dual of [168, 3, 128]-code) [i]
9Linear OA(4144, 147, F4, 111) (dual of [147, 3, 112]-code) [i]
10Linear OA(4123, 126, F4, 95) (dual of [126, 3, 96]-code) [i]
11Linear OA(4102, 105, F4, 79) (dual of [105, 3, 80]-code) [i]
12Linear OA(460, 63, F4, 47) (dual of [63, 3, 48]-code) [i]
13Linear OA(439, 42, F4, 31) (dual of [42, 3, 32]-code) [i]
14Linear OA(4157, 4117, F4, 31) (dual of [4117, 3960, 32]-code) [i](u, u+v)-Construction
15Linear OA(4180, 16405, F4, 31) (dual of [16405, 16225, 32]-code) [i]
16Linear OA(4203, 65557, F4, 31) (dual of [65557, 65354, 32]-code) [i]
17Linear OA(4226, 262165, F4, 31) (dual of [262165, 261939, 32]-code) [i]
18Linear OA(4249, 1048597, F4, 31) (dual of [1048597, 1048348, 32]-code) [i]
19Linear OA(4151, 4117, F4, 30) (dual of [4117, 3966, 31]-code) [i]
20Linear OA(4173, 16405, F4, 30) (dual of [16405, 16232, 31]-code) [i]
21Linear OA(4195, 65557, F4, 30) (dual of [65557, 65362, 31]-code) [i]
22Linear OA(4217, 262165, F4, 30) (dual of [262165, 261948, 31]-code) [i]
23Linear OA(4239, 1048597, F4, 30) (dual of [1048597, 1048358, 31]-code) [i]
24Linear OOA(278, 42, F2, 2, 47) (dual of [(42, 2), 6, 48]-NRT-code) [i]Concatenation of Two NRT-Codes
25Linear OOA(2120, 63, F2, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code) [i]
26Linear OOA(2116, 60, F2, 2, 79) (dual of [(60, 2), 4, 80]-NRT-code) [i]
27Linear OOA(2120, 42, F2, 3, 79) (dual of [(42, 3), 6, 80]-NRT-code) [i]
28Linear OOA(2183, 63, F2, 3, 127) (dual of [(63, 3), 6, 128]-NRT-code) [i]
29Linear OOA(418, 10, F4, 2, 15) (dual of [(10, 2), 2, 16]-NRT-code) [i]OOA Folding
30Linear OOA(418, 7, F4, 3, 15) (dual of [(7, 3), 3, 16]-NRT-code) [i]