Information on Result #2228487

Linear OA(3100, 120, F3, 55) (dual of [120, 20, 56]-code), using 1 times truncation based on linear OA(3101, 121, F3, 56) (dual of [121, 20, 57]-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(3102, 122, F3, 55) (dual of [122, 20, 56]-code) [i]Code Embedding in Larger Space
2Linear OA(3103, 123, F3, 55) (dual of [123, 20, 56]-code) [i]
3Linear OA(3104, 124, F3, 55) (dual of [124, 20, 56]-code) [i]
4Linear OA(3105, 125, F3, 55) (dual of [125, 20, 56]-code) [i]
5Linear OA(3106, 126, F3, 55) (dual of [126, 20, 56]-code) [i]
6Linear OA(3107, 127, F3, 55) (dual of [127, 20, 56]-code) [i]
7Linear OA(3108, 128, F3, 55) (dual of [128, 20, 56]-code) [i]
8Linear OA(3109, 129, F3, 55) (dual of [129, 20, 56]-code) [i]
9Linear OA(3110, 130, F3, 55) (dual of [130, 20, 56]-code) [i]
10Linear OA(3111, 131, F3, 55) (dual of [131, 20, 56]-code) [i]
11Linear OA(3112, 132, F3, 55) (dual of [132, 20, 56]-code) [i]
12Linear OA(3121, 151, F3, 55) (dual of [151, 30, 56]-code) [i]VarÅ¡amov–Edel Lengthening
13Linear OA(3108, 129, F3, 55) (dual of [129, 21, 56]-code) [i]Construction X with VarÅ¡amov Bound
14Linear OA(3112, 134, F3, 55) (dual of [134, 22, 56]-code) [i]
15Linear OA(3113, 136, F3, 55) (dual of [136, 23, 56]-code) [i]
16Linear OA(3115, 139, F3, 55) (dual of [139, 24, 56]-code) [i]
17Linear OA(3110, 134, F3, 52) (dual of [134, 24, 53]-code) [i]
18Linear OOA(3100, 60, F3, 2, 55) (dual of [(60, 2), 20, 56]-NRT-code) [i]OOA Folding
19Linear OOA(3100, 40, F3, 3, 55) (dual of [(40, 3), 20, 56]-NRT-code) [i]
20Linear OOA(3100, 24, F3, 5, 55) (dual of [(24, 5), 20, 56]-NRT-code) [i]