Information on Result #648206

Linear OA(2744, 87, F27, 35) (dual of [87, 43, 36]-code), using algebraic-geometric code AG(F,51P) 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(3219, 348, F3, 71) (dual of [348, 129, 72]-code) [i]Concatenation of Two Codes
2Linear OA(3218, 344, F3, 71) (dual of [344, 126, 72]-code) [i]
3Linear OA(2759, 102, F27, 43) (dual of [102, 43, 44]-code) [i]Construction X with Algebraic-Geometric Codes
4Linear OA(2751, 102, F27, 35) (dual of [102, 51, 36]-code) [i]
5Linear OA(2761, 104, F27, 44) (dual of [104, 43, 45]-code) [i]
6Linear OA(2752, 104, F27, 35) (dual of [104, 52, 36]-code) [i]
7Linear OA(2769, 112, F27, 48) (dual of [112, 43, 49]-code) [i]
8Linear OA(2756, 112, F27, 35) (dual of [112, 56, 36]-code) [i]
9Linear OA(2771, 114, F27, 49) (dual of [114, 43, 50]-code) [i]
10Linear OA(2757, 114, F27, 35) (dual of [114, 57, 36]-code) [i]
11Linear OA(2774, 117, F27, 50) (dual of [117, 43, 51]-code) [i]
12Linear OA(2759, 117, F27, 35) (dual of [117, 58, 36]-code) [i]
13Linear OA(2776, 119, F27, 51) (dual of [119, 43, 52]-code) [i]
14Linear OA(2760, 119, F27, 35) (dual of [119, 59, 36]-code) [i]
15Linear OA(2778, 121, F27, 52) (dual of [121, 43, 53]-code) [i]
16Linear OA(2780, 123, F27, 53) (dual of [123, 43, 54]-code) [i]
17Linear OA(2782, 125, F27, 54) (dual of [125, 43, 55]-code) [i]
18Linear OA(2785, 128, F27, 55) (dual of [128, 43, 56]-code) [i]
19Linear OA(2787, 130, F27, 56) (dual of [130, 43, 57]-code) [i]
20Linear OA(2791, 134, F27, 58) (dual of [134, 43, 59]-code) [i]
21Linear OA(2773, 116, F27, 50) (dual of [116, 43, 51]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
22Linear OA(2772, 116, F27, 49) (dual of [116, 44, 50]-code) [i]
23Linear OA(2758, 116, F27, 35) (dual of [116, 58, 36]-code) [i]