Information on Result #622978

Linear OA(2728, 38, F27, 27) (dual of [38, 10, 28]-code), using extended algebraic-geometric code AGe(F,10P) based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(27104, 114, F27, 83) (dual of [114, 10, 84]-code) [i]Repeating Each Code Word
2Linear OA(27102, 111, F27, 83) (dual of [111, 9, 84]-code) [i]
3Linear OA(27100, 108, F27, 83) (dual of [108, 8, 84]-code) [i]
4Linear OA(2798, 105, F27, 83) (dual of [105, 7, 84]-code) [i]
5Linear OA(2796, 102, F27, 83) (dual of [102, 6, 84]-code) [i]
6Linear OA(2794, 99, F27, 83) (dual of [99, 5, 84]-code) [i]
7Linear OA(2792, 102, F27, 78) (dual of [102, 10, 79]-code) [i]Juxtaposition
8Linear OA(2796, 106, F27, 81) (dual of [106, 10, 82]-code) [i]
9Linear OA(27104, 114, F27, 88) (dual of [114, 10, 89]-code) [i]
10Linear OA(2792, 101, F27, 79) (dual of [101, 9, 80]-code) [i]
11Linear OA(2796, 105, F27, 82) (dual of [105, 9, 83]-code) [i]
12Linear OA(27104, 113, F27, 89) (dual of [113, 9, 90]-code) [i]
13Linear OA(27110, 119, F27, 94) (dual of [119, 9, 95]-code) [i]
14Linear OA(2792, 100, F27, 80) (dual of [100, 8, 81]-code) [i]
15Linear OA(27104, 112, F27, 90) (dual of [112, 8, 91]-code) [i]
16Linear OA(2792, 99, F27, 81) (dual of [99, 7, 82]-code) [i]
17Linear OA(27110, 117, F27, 96) (dual of [117, 7, 97]-code) [i]
18Linear OA(2792, 98, F27, 82) (dual of [98, 6, 83]-code) [i]
19Linear OA(3122, 152, F3, 55) (dual of [152, 30, 56]-code) [i]Concatenation of Two Codes
20Linear OA(3121, 148, F3, 55) (dual of [148, 27, 56]-code) [i]
21Linear OA(3120, 144, F3, 55) (dual of [144, 24, 56]-code) [i]
22Linear OA(3119, 140, F3, 55) (dual of [140, 21, 56]-code) [i]
23Linear OOA(3198, 114, F3, 2, 111) (dual of [(114, 2), 30, 112]-NRT-code) [i]Concatenation of Two NRT-Codes
24Linear OOA(3195, 111, F3, 2, 111) (dual of [(111, 2), 27, 112]-NRT-code) [i]
25Linear OOA(3192, 108, F3, 2, 111) (dual of [(108, 2), 24, 112]-NRT-code) [i]
26Linear OOA(3189, 105, F3, 2, 111) (dual of [(105, 2), 21, 112]-NRT-code) [i]
27Linear OOA(3186, 102, F3, 2, 111) (dual of [(102, 2), 18, 112]-NRT-code) [i]
28Linear OOA(3183, 99, F3, 2, 111) (dual of [(99, 2), 15, 112]-NRT-code) [i]
29Linear OOA(3249, 132, F3, 2, 167) (dual of [(132, 2), 15, 168]-NRT-code) [i]
30Linear OOA(3244, 128, F3, 2, 167) (dual of [(128, 2), 12, 168]-NRT-code) [i]