Information on Result #2227437

Linear OA(341, 83, F3, 19) (dual of [83, 42, 20]-code), using 1 times truncation based on linear OA(342, 84, F3, 20) (dual of [84, 42, 21]-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(343, 85, F3, 19) (dual of [85, 42, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(344, 86, F3, 19) (dual of [86, 42, 20]-code) [i]
3Linear OA(345, 87, F3, 19) (dual of [87, 42, 20]-code) [i]
4Linear OA(346, 88, F3, 19) (dual of [88, 42, 20]-code) [i]
5Linear OA(347, 89, F3, 19) (dual of [89, 42, 20]-code) [i]
6Linear OA(348, 90, F3, 19) (dual of [90, 42, 20]-code) [i]
7Linear OA(349, 91, F3, 19) (dual of [91, 42, 20]-code) [i]
8Linear OA(350, 93, F3, 19) (dual of [93, 43, 20]-code) [i](u, u+v)-Construction
9Linear OA(350, 97, F3, 19) (dual of [97, 47, 20]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(351, 100, F3, 19) (dual of [100, 49, 20]-code) [i]
11Linear OA(352, 104, F3, 19) (dual of [104, 52, 20]-code) [i]
12Linear OA(353, 108, F3, 19) (dual of [108, 55, 20]-code) [i]
13Linear OA(343, 87, F3, 16) (dual of [87, 44, 17]-code) [i]
14Linear OA(346, 89, F3, 19) (dual of [89, 43, 20]-code) [i]Construction X with VarÅ¡amov Bound
15Linear OA(348, 92, F3, 19) (dual of [92, 44, 20]-code) [i]
16Linear OA(349, 94, F3, 19) (dual of [94, 45, 20]-code) [i]
17Linear OA(350, 96, F3, 19) (dual of [96, 46, 20]-code) [i]
18Linear OA(351, 98, F3, 19) (dual of [98, 47, 20]-code) [i]
19Linear OOA(341, 41, F3, 2, 19) (dual of [(41, 2), 41, 20]-NRT-code) [i]OOA Folding
20Linear OOA(341, 27, F3, 3, 19) (dual of [(27, 3), 40, 20]-NRT-code) [i]
21Linear OOA(341, 20, F3, 4, 19) (dual of [(20, 4), 39, 20]-NRT-code) [i]