Information on Result #657389

Linear OA(4914, 50, F49, 14) (dual of [50, 36, 15]-code or 50-arc in PG(13,49)), using algebraic-geometric code AG(F, Q+16P) 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(728, 100, F7, 14) (dual of [100, 72, 15]-code) [i]Trace Code
2Linear OA(4944, 103, F49, 29) (dual of [103, 59, 30]-code) [i](u, u+v)-Construction
3Linear OA(4942, 100, F49, 28) (dual of [100, 58, 29]-code) [i]
4Linear OA(4943, 103, F49, 28) (dual of [103, 60, 29]-code) [i]
5Linear OA(4917, 53, F49, 16) (dual of [53, 36, 17]-code) [i]✔Construction X with Algebraic-Geometric Codes
6Linear OA(4915, 53, F49, 14) (dual of [53, 38, 15]-code) [i]✔
7Linear OA(4921, 57, F49, 18) (dual of [57, 36, 19]-code) [i]✔
8Linear OA(4917, 57, F49, 14) (dual of [57, 40, 15]-code) [i]✔
9Linear OA(4925, 61, F49, 20) (dual of [61, 36, 21]-code) [i]✔
10Linear OA(4919, 61, F49, 14) (dual of [61, 42, 15]-code) [i]✔
11Linear OA(4929, 65, F49, 22) (dual of [65, 36, 23]-code) [i]✔
12Linear OA(4933, 69, F49, 24) (dual of [69, 36, 25]-code) [i]✔
13Linear OA(4937, 73, F49, 26) (dual of [73, 36, 27]-code) [i]✔
14Linear OA(4941, 77, F49, 28) (dual of [77, 36, 29]-code) [i]✔
15Linear OA(4919, 55, F49, 17) (dual of [55, 36, 18]-code) [i]✔
16Linear OA(4916, 55, F49, 14) (dual of [55, 39, 15]-code) [i]✔
17Linear OA(4931, 67, F49, 23) (dual of [67, 36, 24]-code) [i]✔
18Linear OA(4923, 59, F49, 19) (dual of [59, 36, 20]-code) [i]✔
19Linear OA(4918, 59, F49, 14) (dual of [59, 41, 15]-code) [i]✔