Information on Result #657232

Linear OA(4937, 50, F49, 37) (dual of [50, 13, 38]-code or 50-arc in PG(36,49)), using algebraic-geometric code AG(F,6P) with 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(4940, 53, F49, 39) (dual of [53, 13, 40]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(4938, 53, F49, 37) (dual of [53, 15, 38]-code) [i]✔
3Linear OA(4944, 57, F49, 41) (dual of [57, 13, 42]-code) [i]✔
4Linear OA(4940, 57, F49, 37) (dual of [57, 17, 38]-code) [i]✔
5Linear OA(4948, 61, F49, 43) (dual of [61, 13, 44]-code) [i]✔
6Linear OA(4942, 61, F49, 37) (dual of [61, 19, 38]-code) [i]✔
7Linear OA(4952, 65, F49, 45) (dual of [65, 13, 46]-code) [i]✔
8Linear OA(4944, 65, F49, 37) (dual of [65, 21, 38]-code) [i]✔
9Linear OA(4946, 69, F49, 37) (dual of [69, 23, 38]-code) [i]✔
10Linear OA(4948, 73, F49, 37) (dual of [73, 25, 38]-code) [i]✔
11Linear OA(4950, 77, F49, 37) (dual of [77, 27, 38]-code) [i]✔
12Linear OA(4952, 81, F49, 37) (dual of [81, 29, 38]-code) [i]✔
13Linear OA(4942, 55, F49, 40) (dual of [55, 13, 41]-code) [i]✔
14Linear OA(4939, 55, F49, 37) (dual of [55, 16, 38]-code) [i]✔
15Linear OA(4954, 67, F49, 46) (dual of [67, 13, 47]-code) [i]✔
16Linear OA(4945, 67, F49, 37) (dual of [67, 22, 38]-code) [i]✔
17Linear OA(4951, 79, F49, 37) (dual of [79, 28, 38]-code) [i]✔
18Linear OA(4946, 59, F49, 42) (dual of [59, 13, 43]-code) [i]✔
19Linear OA(4941, 59, F49, 37) (dual of [59, 18, 38]-code) [i]✔