Information on Result #657399

Linear OA(494, 50, F49, 4) (dual of [50, 46, 5]-code or 50-arc in PG(3,49)), using algebraic-geometric code AG(F, Q+21P) with degQ = 3 and degP = 2 based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(78, 100, F7, 4) (dual of [100, 92, 5]-code) [i]Trace Code
2Linear OA(77, 50, F7, 4) (dual of [50, 43, 5]-code) [i]Base Reduction for Projective Spaces
3Linear OA(4914, 103, F49, 9) (dual of [103, 89, 10]-code) [i](u, u+v)-Construction
4Linear OA(4921, 2452, F49, 9) (dual of [2452, 2431, 10]-code) [i]
5Linear OA(4929, 117700, F49, 9) (dual of [117700, 117671, 10]-code) [i]
6Linear OA(4937, 5764852, F49, 9) (dual of [5764852, 5764815, 10]-code) [i]
7Linear OA(4912, 100, F49, 8) (dual of [100, 88, 9]-code) [i]
8Linear OA(4919, 2451, F49, 8) (dual of [2451, 2432, 9]-code) [i]
9Linear OA(4926, 117699, F49, 8) (dual of [117699, 117673, 9]-code) [i]
10Linear OA(4933, 5764851, F49, 8) (dual of [5764851, 5764818, 9]-code) [i]
11Linear OA(4921, 2453, F49, 9) (dual of [2453, 2432, 10]-code) [i]
12Linear OA(4922, 2457, F49, 9) (dual of [2457, 2435, 10]-code) [i]
13Linear OA(4929, 117702, F49, 9) (dual of [117702, 117673, 10]-code) [i]
14Linear OA(4930, 117707, F49, 9) (dual of [117707, 117677, 10]-code) [i]
15Linear OA(4937, 5764855, F49, 9) (dual of [5764855, 5764818, 10]-code) [i]
16Linear OA(4938, 5764862, F49, 9) (dual of [5764862, 5764824, 10]-code) [i]
17Linear OA(4919, 2453, F49, 8) (dual of [2453, 2434, 9]-code) [i]
18Linear OA(4926, 117702, F49, 8) (dual of [117702, 117676, 9]-code) [i]
19Linear OA(4927, 117706, F49, 8) (dual of [117706, 117679, 9]-code) [i]
20Linear OA(4933, 5764855, F49, 8) (dual of [5764855, 5764822, 9]-code) [i]
21Linear OA(4934, 5764861, F49, 8) (dual of [5764861, 5764827, 9]-code) [i]
22Linear OA(4914, 114, F49, 9) (dual of [114, 100, 10]-code) [i]
23Linear OA(4923, 2450, F49, 9) (dual of [2450, 2427, 10]-code) [i]Generalized (u, u+v)-Construction
24Linear OA(4920, 2450, F49, 8) (dual of [2450, 2430, 9]-code) [i]
25Linear OA(498, 2450, F49, 4) (dual of [2450, 2442, 5]-code) [i]
26Linear OA(497, 53, F49, 6) (dual of [53, 46, 7]-code) [i]✔Construction X with Algebraic-Geometric Codes
27Linear OA(495, 53, F49, 4) (dual of [53, 48, 5]-code) [i]✔
28Linear OA(4911, 57, F49, 8) (dual of [57, 46, 9]-code) [i]✔
29Linear OA(499, 55, F49, 7) (dual of [55, 46, 8]-code) [i]✔
30Linear OA(4938, 2501, F49, 14) (dual of [2501, 2463, 15]-code) [i](u, u−v, u+v+w)-Construction
31Linear OA(4951, 117749, F49, 14) (dual of [117749, 117698, 15]-code) [i]
32Linear OA(4952, 117752, F49, 14) (dual of [117752, 117700, 15]-code) [i]
33Linear OA(4935, 2502, F49, 13) (dual of [2502, 2467, 14]-code) [i]
34Linear OA(4947, 117750, F49, 13) (dual of [117750, 117703, 14]-code) [i]
35Linear OA(4948, 117753, F49, 13) (dual of [117753, 117705, 14]-code) [i]
36Linear OA(4944, 117749, F49, 12) (dual of [117749, 117705, 13]-code) [i]
37Linear OA(4955, 5764901, F49, 12) (dual of [5764901, 5764846, 13]-code) [i]
38Linear OA(4932, 117750, F49, 9) (dual of [117750, 117718, 10]-code) [i]
39Linear OA(4940, 5764902, F49, 9) (dual of [5764902, 5764862, 10]-code) [i]
40Linear OA(4928, 117749, F49, 8) (dual of [117749, 117721, 9]-code) [i]
41Linear OA(4935, 5764901, F49, 8) (dual of [5764901, 5764866, 9]-code) [i]