Information on Result #622979

Linear OA(2729, 38, F27, 28) (dual of [38, 9, 29]-code), using extended algebraic-geometric code AGe(F,9P) 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(27105, 114, F27, 86) (dual of [114, 9, 87]-code) [i]Repeating Each Code Word
2Linear OA(27103, 111, F27, 86) (dual of [111, 8, 87]-code) [i]
3Linear OA(27101, 108, F27, 86) (dual of [108, 7, 87]-code) [i]
4Linear OA(2799, 105, F27, 86) (dual of [105, 6, 87]-code) [i]
5Linear OA(2797, 102, F27, 86) (dual of [102, 5, 87]-code) [i]
6Linear OA(2793, 102, F27, 80) (dual of [102, 9, 81]-code) [i]Juxtaposition
7Linear OA(2797, 106, F27, 83) (dual of [106, 9, 84]-code) [i]
8Linear OA(27105, 114, F27, 90) (dual of [114, 9, 91]-code) [i]
9Linear OA(2793, 101, F27, 81) (dual of [101, 8, 82]-code) [i]
10Linear OA(2797, 105, F27, 84) (dual of [105, 8, 85]-code) [i]
11Linear OA(27105, 113, F27, 91) (dual of [113, 8, 92]-code) [i]
12Linear OA(2793, 100, F27, 82) (dual of [100, 7, 83]-code) [i]
13Linear OA(27105, 112, F27, 92) (dual of [112, 7, 93]-code) [i]
14Linear OA(2793, 99, F27, 83) (dual of [99, 6, 84]-code) [i]
15Linear OA(2793, 98, F27, 84) (dual of [98, 5, 85]-code) [i]
16Linear OA(3125, 152, F3, 57) (dual of [152, 27, 58]-code) [i]Concatenation of Two Codes
17Linear OA(3124, 148, F3, 57) (dual of [148, 24, 58]-code) [i]
18Linear OA(3123, 144, F3, 57) (dual of [144, 21, 58]-code) [i]
19Linear OOA(3201, 114, F3, 2, 115) (dual of [(114, 2), 27, 116]-NRT-code) [i]Concatenation of Two NRT-Codes
20Linear OOA(3198, 111, F3, 2, 115) (dual of [(111, 2), 24, 116]-NRT-code) [i]
21Linear OOA(3195, 108, F3, 2, 115) (dual of [(108, 2), 21, 116]-NRT-code) [i]
22Linear OOA(3192, 105, F3, 2, 115) (dual of [(105, 2), 18, 116]-NRT-code) [i]
23Linear OOA(3189, 102, F3, 2, 115) (dual of [(102, 2), 15, 116]-NRT-code) [i]
24Linear OOA(3247, 128, F3, 2, 173) (dual of [(128, 2), 9, 174]-NRT-code) [i]