Information on Result #657184

Linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), using algebraic-geometric code AG(F,1P) with degP = 3 based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(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(2574, 78, F25, 68) (dual of [78, 4, 69]-code) [i]Repeating Each Code Word
2Linear OA(25108, 651, F25, 45) (dual of [651, 543, 46]-code) [i](u, u+v)-Construction
3Linear OA(25106, 651, F25, 44) (dual of [651, 545, 45]-code) [i]
4Linear OA(2588, 92, F25, 81) (dual of [92, 4, 82]-code) [i]Juxtaposition
5Linear OA(2590, 94, F25, 82) (dual of [94, 4, 83]-code) [i]
6Linear OA(2578, 82, F25, 72) (dual of [82, 4, 73]-code) [i]
7Linear OA(2594, 98, F25, 86) (dual of [98, 4, 87]-code) [i]
8Linear OA(5148, 156, F5, 114) (dual of [156, 8, 115]-code) [i]Concatenation of Two Codes
9Linear OA(2551, 909, F25, 22) (dual of [909, 858, 23]-code) [i]VarÅ¡amov–Edel Lengthening