Information on Result #657170
Linear OA(2514, 26, F25, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,25)), using algebraic-geometric code AG(F, Q+4P) 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(528, 52, F5, 14) (dual of [52, 24, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(2568, 651, F25, 29) (dual of [651, 583, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2596, 15651, F25, 29) (dual of [15651, 15555, 30]-code) | [i] | ||
| 4 | Linear OA(2566, 651, F25, 28) (dual of [651, 585, 29]-code) | [i] | ||
| 5 | Linear OA(2593, 15651, F25, 28) (dual of [15651, 15558, 29]-code) | [i] | ||
| 6 | Linear OA(554, 78, F5, 29) (dual of [78, 24, 30]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(2517, 29, F25, 16) (dual of [29, 12, 17]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 8 | Linear OA(2515, 29, F25, 14) (dual of [29, 14, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(2519, 31, F25, 17) (dual of [31, 12, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2516, 31, F25, 14) (dual of [31, 15, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(2577, 677, F25, 29) (dual of [677, 600, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(25105, 15677, F25, 29) (dual of [15677, 15572, 30]-code) | [i] | ||
| 13 | Linear OA(2575, 677, F25, 28) (dual of [677, 602, 29]-code) | [i] | ||
| 14 | Linear OA(25102, 15677, F25, 28) (dual of [15677, 15575, 29]-code) | [i] | ||