Information on Result #648208

Linear OA(2743, 87, F27, 34) (dual of [87, 44, 35]-code), using algebraic-geometric code AG(F,52P) based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, 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(3216, 348, F3, 69) (dual of [348, 132, 70]-code) [i]Concatenation of Two Codes
2Linear OA(3215, 344, F3, 69) (dual of [344, 129, 70]-code) [i]
3Linear OA(2758, 102, F27, 42) (dual of [102, 44, 43]-code) [i]Construction X with Algebraic-Geometric Codes
4Linear OA(2750, 102, F27, 34) (dual of [102, 52, 35]-code) [i]
5Linear OA(2760, 104, F27, 43) (dual of [104, 44, 44]-code) [i]
6Linear OA(2751, 104, F27, 34) (dual of [104, 53, 35]-code) [i]
7Linear OA(2768, 112, F27, 47) (dual of [112, 44, 48]-code) [i]
8Linear OA(2755, 112, F27, 34) (dual of [112, 57, 35]-code) [i]
9Linear OA(2770, 114, F27, 48) (dual of [114, 44, 49]-code) [i]
10Linear OA(2756, 114, F27, 34) (dual of [114, 58, 35]-code) [i]
11Linear OA(2773, 117, F27, 49) (dual of [117, 44, 50]-code) [i]
12Linear OA(2758, 117, F27, 34) (dual of [117, 59, 35]-code) [i]
13Linear OA(2775, 119, F27, 50) (dual of [119, 44, 51]-code) [i]
14Linear OA(2759, 119, F27, 34) (dual of [119, 60, 35]-code) [i]
15Linear OA(2777, 121, F27, 51) (dual of [121, 44, 52]-code) [i]
16Linear OA(2779, 123, F27, 52) (dual of [123, 44, 53]-code) [i]
17Linear OA(2781, 125, F27, 53) (dual of [125, 44, 54]-code) [i]
18Linear OA(2784, 128, F27, 54) (dual of [128, 44, 55]-code) [i]
19Linear OA(2786, 130, F27, 55) (dual of [130, 44, 56]-code) [i]
20Linear OA(2772, 116, F27, 49) (dual of [116, 44, 50]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
21Linear OA(2771, 116, F27, 48) (dual of [116, 45, 49]-code) [i]
22Linear OA(2757, 116, F27, 34) (dual of [116, 59, 35]-code) [i]