Information on Result #657168
Linear OA(2516, 26, F25, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,25)), using algebraic-geometric code AG(F, Q+3P) with degQ = 3 and degPÂ =Â 2 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2578, 651, F25, 33) (dual of [651, 573, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25110, 15651, F25, 33) (dual of [15651, 15541, 34]-code) | [i] | ||
| 3 | Linear OA(2576, 651, F25, 32) (dual of [651, 575, 33]-code) | [i] | ||
| 4 | Linear OA(25107, 15651, F25, 32) (dual of [15651, 15544, 33]-code) | [i] | ||
| 5 | Linear OA(558, 78, F5, 33) (dual of [78, 20, 34]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(584, 104, F5, 50) (dual of [104, 20, 51]-code) | [i] | ||
| 7 | Linear OA(5136, 156, F5, 84) (dual of [156, 20, 85]-code) | [i] | ||
| 8 | Linear OA(2519, 29, F25, 18) (dual of [29, 10, 19]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 9 | Linear OA(2517, 29, F25, 16) (dual of [29, 12, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(2521, 31, F25, 19) (dual of [31, 10, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(2518, 31, F25, 16) (dual of [31, 13, 17]-code) | [i] | ✔ | |