Information on Result #606419

Linear OA(2722, 27, F27, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,27)), using Reed–Solomon code RS(5,27)

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(2774, 78, F27, 68) (dual of [78, 4, 69]-code) [i]Repeating Each Code Word
2Linear OA(2772, 75, F27, 68) (dual of [75, 3, 69]-code) [i]
3Linear OA(2798, 102, F27, 90) (dual of [102, 4, 91]-code) [i]Juxtaposition
4Linear OA(2760, 63, F27, 57) (dual of [63, 3, 58]-code) [i]
5Linear OA(2784, 87, F27, 79) (dual of [87, 3, 80]-code) [i]
6Linear OA(2785, 88, F27, 80) (dual of [88, 3, 81]-code) [i]
7Linear OA(3201, 216, F3, 114) (dual of [216, 15, 115]-code) [i]Concatenation of Two Codes
8Linear OA(3196, 208, F3, 114) (dual of [208, 12, 115]-code) [i]
9Linear OA(3191, 200, F3, 114) (dual of [200, 9, 115]-code) [i]
10Linear OA(3228, 243, F3, 137) (dual of [243, 15, 138]-code) [i]
11Linear OA(3222, 234, F3, 137) (dual of [234, 12, 138]-code) [i]
12Linear OA(3216, 225, F3, 137) (dual of [225, 9, 138]-code) [i]
13Linear OOA(3147, 81, F3, 2, 91) (dual of [(81, 2), 15, 92]-NRT-code) [i]Concatenation of Two NRT-Codes
14Linear OOA(3144, 78, F3, 2, 91) (dual of [(78, 2), 12, 92]-NRT-code) [i]
15Linear OOA(3141, 75, F3, 2, 91) (dual of [(75, 2), 9, 92]-NRT-code) [i]
16Linear OOA(3201, 108, F3, 2, 137) (dual of [(108, 2), 15, 138]-NRT-code) [i]
17Linear OOA(3196, 104, F3, 2, 137) (dual of [(104, 2), 12, 138]-NRT-code) [i]
18Linear OOA(3191, 100, F3, 2, 137) (dual of [(100, 2), 9, 138]-NRT-code) [i]
19Linear OOA(3228, 81, F3, 3, 160) (dual of [(81, 3), 15, 161]-NRT-code) [i]
20Linear OOA(3222, 78, F3, 3, 160) (dual of [(78, 3), 12, 161]-NRT-code) [i]