Information on Result #620996

Linear OA(27109, 112, F27, 103) (dual of [112, 3, 104]-code), using the BCH-code C(I) with length 112 | 274−1, defining interval I = {55,66,77,…,−55}, and designed minimum distance d ≥ |I|+1 = 104

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(27109, 112, F27, 102) (dual of [112, 3, 103]-code) [i]Strength Reduction
2Linear OA(27109, 112, F27, 101) (dual of [112, 3, 102]-code) [i]
3Linear OA(27110, 113, F27, 103) (dual of [113, 3, 104]-code) [i]Code Embedding in Larger Space
4Linear OA(27108, 111, F27, 102) (dual of [111, 3, 103]-code) [i]Truncation
5Linear OA(27107, 110, F27, 101) (dual of [110, 3, 102]-code) [i]
6Linear OA(27106, 109, F27, 100) (dual of [109, 3, 101]-code) [i]
7Linear OA(27104, 107, F27, 98) (dual of [107, 3, 99]-code) [i]
8Linear OA(27103, 106, F27, 97) (dual of [106, 3, 98]-code) [i]
9Linear OA(27102, 105, F27, 96) (dual of [105, 3, 97]-code) [i]
10Linear OA(27100, 103, F27, 94) (dual of [103, 3, 95]-code) [i]
11Linear OA(2799, 102, F27, 93) (dual of [102, 3, 94]-code) [i]
12Linear OA(2798, 101, F27, 92) (dual of [101, 3, 93]-code) [i]
13Linear OA(2797, 100, F27, 91) (dual of [100, 3, 92]-code) [i]
14Linear OA(2796, 99, F27, 90) (dual of [99, 3, 91]-code) [i]
15Linear OA(2795, 98, F27, 89) (dual of [98, 3, 90]-code) [i]
16Linear OA(2794, 97, F27, 88) (dual of [97, 3, 89]-code) [i]
17Linear OA(2793, 96, F27, 87) (dual of [96, 3, 88]-code) [i]
18Linear OA(2792, 95, F27, 86) (dual of [95, 3, 87]-code) [i]
19Linear OA(2753, 56, F27, 51) (dual of [56, 3, 52]-code) [i]✔Contraction
20Linear OOA(27109, 56, F27, 2, 103) (dual of [(56, 2), 3, 104]-NRT-code) [i]OOA Folding