Information on Result #648815

Linear OA(2747, 93, F27, 37) (dual of [93, 46, 38]-code), using algebraic-geometric code AG(F,55P) based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, 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(3234, 372, F3, 75) (dual of [372, 138, 76]-code) [i]Concatenation of Two Codes
2Linear OA(3233, 368, F3, 75) (dual of [368, 135, 76]-code) [i]
3Linear OA(3232, 364, F3, 75) (dual of [364, 132, 76]-code) [i]
4Linear OA(3231, 360, F3, 75) (dual of [360, 129, 76]-code) [i]
5Linear OA(2752, 98, F27, 40) (dual of [98, 46, 41]-code) [i]✔Construction X with Algebraic-Geometric Codes
6Linear OA(2749, 98, F27, 37) (dual of [98, 49, 38]-code) [i]✔
7Linear OA(2754, 100, F27, 41) (dual of [100, 46, 42]-code) [i]✔
8Linear OA(2750, 100, F27, 37) (dual of [100, 50, 38]-code) [i]✔
9Linear OA(2756, 102, F27, 42) (dual of [102, 46, 43]-code) [i]✔
10Linear OA(2751, 102, F27, 37) (dual of [102, 51, 38]-code) [i]✔
11Linear OA(2758, 104, F27, 43) (dual of [104, 46, 44]-code) [i]✔
12Linear OA(2752, 104, F27, 37) (dual of [104, 52, 38]-code) [i]✔
13Linear OA(2760, 106, F27, 44) (dual of [106, 46, 45]-code) [i]✔
14Linear OA(2753, 106, F27, 37) (dual of [106, 53, 38]-code) [i]✔
15Linear OA(2762, 108, F27, 45) (dual of [108, 46, 46]-code) [i]✔
16Linear OA(2754, 108, F27, 37) (dual of [108, 54, 38]-code) [i]✔
17Linear OA(2764, 110, F27, 46) (dual of [110, 46, 47]-code) [i]✔
18Linear OA(2755, 110, F27, 37) (dual of [110, 55, 38]-code) [i]✔
19Linear OA(2766, 112, F27, 47) (dual of [112, 46, 48]-code) [i]✔
20Linear OA(2756, 112, F27, 37) (dual of [112, 56, 38]-code) [i]✔
21Linear OA(2768, 114, F27, 48) (dual of [114, 46, 49]-code) [i]✔
22Linear OA(2757, 114, F27, 37) (dual of [114, 57, 38]-code) [i]✔
23Linear OA(2770, 116, F27, 49) (dual of [116, 46, 50]-code) [i]✔
24Linear OA(2758, 116, F27, 37) (dual of [116, 58, 38]-code) [i]✔
25Linear OA(2772, 118, F27, 50) (dual of [118, 46, 51]-code) [i]✔
26Linear OA(2759, 118, F27, 37) (dual of [118, 59, 38]-code) [i]✔
27Linear OA(2774, 120, F27, 51) (dual of [120, 46, 52]-code) [i]✔
28Linear OA(2760, 120, F27, 37) (dual of [120, 60, 38]-code) [i]✔
29Linear OA(2777, 123, F27, 52) (dual of [123, 46, 53]-code) [i]✔
30Linear OA(2762, 123, F27, 37) (dual of [123, 61, 38]-code) [i]✔
31Linear OA(2779, 125, F27, 53) (dual of [125, 46, 54]-code) [i]✔
32Linear OA(2763, 125, F27, 37) (dual of [125, 62, 38]-code) [i]✔
33Linear OA(2781, 127, F27, 54) (dual of [127, 46, 55]-code) [i]✔
34Linear OA(2783, 129, F27, 55) (dual of [129, 46, 56]-code) [i]✔
35Linear OA(2785, 131, F27, 56) (dual of [131, 46, 57]-code) [i]✔
36Linear OA(2788, 134, F27, 57) (dual of [134, 46, 58]-code) [i]✔
37Linear OA(2790, 136, F27, 58) (dual of [136, 46, 59]-code) [i]✔
38Linear OA(2792, 138, F27, 59) (dual of [138, 46, 60]-code) [i]✔
39Linear OA(2794, 140, F27, 60) (dual of [140, 46, 61]-code) [i]✔
40Linear OA(2799, 145, F27, 62) (dual of [145, 46, 63]-code) [i]✔
41Linear OA(2776, 122, F27, 52) (dual of [122, 46, 53]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
42Linear OA(2775, 122, F27, 51) (dual of [122, 47, 52]-code) [i]✔
43Linear OA(2761, 122, F27, 37) (dual of [122, 61, 38]-code) [i]✔