Information on Result #645794

Linear OA(2519, 68, F25, 14) (dual of [68, 49, 15]-code), using construction X applied to AG(F,50P) ⊂ AG(F,52P) based on
  1. linear OA(2518, 65, F25, 14) (dual of [65, 47, 15]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
  2. linear OA(2516, 65, F25, 12) (dual of [65, 49, 13]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
  3. linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), 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(538, 136, F5, 14) (dual of [136, 98, 15]-code) [i]Trace Code
2Linear OA(2573, 693, F25, 29) (dual of [693, 620, 30]-code) [i](u, u+v)-Construction
3Linear OA(25101, 15693, F25, 29) (dual of [15693, 15592, 30]-code) [i]
4Linear OA(2571, 693, F25, 28) (dual of [693, 622, 29]-code) [i]
5Linear OA(2598, 15693, F25, 28) (dual of [15693, 15595, 29]-code) [i]
6Linear OA(2573, 696, F25, 29) (dual of [696, 623, 30]-code) [i]
7Linear OA(25101, 15696, F25, 29) (dual of [15696, 15595, 30]-code) [i]
8Linear OA(25102, 15700, F25, 29) (dual of [15700, 15598, 30]-code) [i]
9Linear OA(25103, 15704, F25, 29) (dual of [15704, 15601, 30]-code) [i]
10Linear OA(2571, 695, F25, 28) (dual of [695, 624, 29]-code) [i]
11Linear OA(2574, 702, F25, 28) (dual of [702, 628, 29]-code) [i]
12Linear OA(2598, 15696, F25, 28) (dual of [15696, 15598, 29]-code) [i]
13Linear OA(2599, 15700, F25, 28) (dual of [15700, 15601, 29]-code) [i]
14Linear OA(25101, 15705, F25, 28) (dual of [15705, 15604, 29]-code) [i]
15Linear OOA(2519, 34, F25, 2, 14) (dual of [(34, 2), 49, 15]-NRT-code) [i]OOA Folding