Information on Result #645851

Linear OA(2520, 70, F25, 14) (dual of [70, 50, 15]-code), using construction X applied to AG(F,50P) ⊂ AG(F,53P) 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(2515, 65, F25, 11) (dual of [65, 50, 12]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
  3. linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), 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(540, 140, F5, 14) (dual of [140, 100, 15]-code) [i]Trace Code
2Linear OA(2574, 695, F25, 29) (dual of [695, 621, 30]-code) [i](u, u+v)-Construction
3Linear OA(25102, 15695, F25, 29) (dual of [15695, 15593, 30]-code) [i]
4Linear OA(2572, 695, F25, 28) (dual of [695, 623, 29]-code) [i]
5Linear OA(2599, 15695, F25, 28) (dual of [15695, 15596, 29]-code) [i]
6Linear OA(2574, 698, F25, 29) (dual of [698, 624, 30]-code) [i]
7Linear OA(25102, 15698, F25, 29) (dual of [15698, 15596, 30]-code) [i]
8Linear OA(25103, 15702, F25, 29) (dual of [15702, 15599, 30]-code) [i]
9Linear OA(25104, 15706, F25, 29) (dual of [15706, 15602, 30]-code) [i]
10Linear OA(2572, 697, F25, 28) (dual of [697, 625, 29]-code) [i]
11Linear OA(2599, 15698, F25, 28) (dual of [15698, 15599, 29]-code) [i]
12Linear OA(25100, 15702, F25, 28) (dual of [15702, 15602, 29]-code) [i]
13Linear OOA(2520, 35, F25, 2, 14) (dual of [(35, 2), 50, 15]-NRT-code) [i]OOA Folding