Information on Result #2227438

Linear OA(340, 82, F3, 18) (dual of [82, 42, 19]-code), using 2 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, 18) (dual of [85, 42, 19]-code) [i]Code Embedding in Larger Space
2Linear OA(344, 86, F3, 18) (dual of [86, 42, 19]-code) [i]
3Linear OA(345, 87, F3, 18) (dual of [87, 42, 19]-code) [i]
4Linear OA(346, 88, F3, 18) (dual of [88, 42, 19]-code) [i]
5Linear OA(347, 89, F3, 18) (dual of [89, 42, 19]-code) [i]
6Linear OA(348, 90, F3, 18) (dual of [90, 42, 19]-code) [i]
7Linear OA(345, 89, F3, 18) (dual of [89, 44, 19]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(346, 91, F3, 18) (dual of [91, 45, 19]-code) [i]
9Linear OA(347, 93, F3, 18) (dual of [93, 46, 19]-code) [i]
10Linear OA(348, 96, F3, 18) (dual of [96, 48, 19]-code) [i]
11Linear OA(349, 99, F3, 18) (dual of [99, 50, 19]-code) [i]
12Linear OA(350, 103, F3, 18) (dual of [103, 53, 19]-code) [i]
13Linear OA(351, 108, F3, 18) (dual of [108, 57, 19]-code) [i]
14Linear OA(352, 113, F3, 18) (dual of [113, 61, 19]-code) [i]
15Linear OA(344, 87, F3, 18) (dual of [87, 43, 19]-code) [i]Construction X with VarÅ¡amov Bound
16Linear OA(346, 90, F3, 18) (dual of [90, 44, 19]-code) [i]
17Linear OA(347, 92, F3, 18) (dual of [92, 45, 19]-code) [i]
18Linear OA(348, 94, F3, 18) (dual of [94, 46, 19]-code) [i]
19Linear OA(349, 96, F3, 18) (dual of [96, 47, 19]-code) [i]
20Linear OOA(340, 41, F3, 2, 18) (dual of [(41, 2), 42, 19]-NRT-code) [i]OOA Folding
21Linear OOA(340, 27, F3, 3, 18) (dual of [(27, 3), 41, 19]-NRT-code) [i]
22Linear OOA(340, 20, F3, 4, 18) (dual of [(20, 4), 40, 19]-NRT-code) [i]