Information on Result #648200

Linear OA(2747, 87, F27, 38) (dual of [87, 40, 39]-code), using algebraic-geometric code AG(F,48P) 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(3228, 348, F3, 77) (dual of [348, 120, 78]-code) [i]Concatenation of Two Codes
2Linear OA(3227, 344, F3, 77) (dual of [344, 117, 78]-code) [i]
3Linear OA(2762, 102, F27, 46) (dual of [102, 40, 47]-code) [i]Construction X with Algebraic-Geometric Codes
4Linear OA(2754, 102, F27, 38) (dual of [102, 48, 39]-code) [i]
5Linear OA(2764, 104, F27, 47) (dual of [104, 40, 48]-code) [i]
6Linear OA(2755, 104, F27, 38) (dual of [104, 49, 39]-code) [i]
7Linear OA(2772, 112, F27, 51) (dual of [112, 40, 52]-code) [i]
8Linear OA(2759, 112, F27, 38) (dual of [112, 53, 39]-code) [i]
9Linear OA(2774, 114, F27, 52) (dual of [114, 40, 53]-code) [i]
10Linear OA(2760, 114, F27, 38) (dual of [114, 54, 39]-code) [i]
11Linear OA(2777, 117, F27, 53) (dual of [117, 40, 54]-code) [i]
12Linear OA(2762, 117, F27, 38) (dual of [117, 55, 39]-code) [i]
13Linear OA(2779, 119, F27, 54) (dual of [119, 40, 55]-code) [i]
14Linear OA(2763, 119, F27, 38) (dual of [119, 56, 39]-code) [i]
15Linear OA(2781, 121, F27, 55) (dual of [121, 40, 56]-code) [i]
16Linear OA(2764, 121, F27, 38) (dual of [121, 57, 39]-code) [i]
17Linear OA(2783, 123, F27, 56) (dual of [123, 40, 57]-code) [i]
18Linear OA(2765, 123, F27, 38) (dual of [123, 58, 39]-code) [i]
19Linear OA(2785, 125, F27, 57) (dual of [125, 40, 58]-code) [i]
20Linear OA(2788, 128, F27, 58) (dual of [128, 40, 59]-code) [i]
21Linear OA(2790, 130, F27, 59) (dual of [130, 40, 60]-code) [i]
22Linear OA(2792, 132, F27, 60) (dual of [132, 40, 61]-code) [i]
23Linear OA(2794, 134, F27, 61) (dual of [134, 40, 62]-code) [i]
24Linear OA(2776, 116, F27, 53) (dual of [116, 40, 54]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
25Linear OA(2775, 116, F27, 52) (dual of [116, 41, 53]-code) [i]
26Linear OA(2761, 116, F27, 38) (dual of [116, 55, 39]-code) [i]