Information on Result #657182
Linear OA(252, 26, F25, 2) (dual of [26, 24, 3]-code or 26-arc in PG(1,25)), using algebraic-geometric code AG(F, Q+10P) 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(259, 627, F25, 5) (dual of [627, 618, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2515, 15652, F25, 5) (dual of [15652, 15637, 6]-code) | [i] | ||
| 3 | Linear OA(2519, 390652, F25, 5) (dual of [390652, 390633, 6]-code) | [i] | ||
| 4 | Linear OA(2512, 15651, F25, 4) (dual of [15651, 15639, 5]-code) | [i] | ||
| 5 | Linear OA(2515, 390651, F25, 4) (dual of [390651, 390636, 5]-code) | [i] | ||
| 6 | Linear OA(2519, 390655, F25, 5) (dual of [390655, 390636, 6]-code) | [i] | ||
| 7 | Linear OA(2515, 390655, F25, 4) (dual of [390655, 390640, 5]-code) | [i] | ||
| 8 | Linear OA(2529, 650, F25, 11) (dual of [650, 621, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(2529, 650, F25, 11) (dual of [650, 621, 12]-code) | [i] | ||
| 10 | Linear OA(2523, 650, F25, 9) (dual of [650, 627, 10]-code) | [i] | ||
| 11 | Linear OA(2520, 650, F25, 8) (dual of [650, 630, 9]-code) | [i] | ||
| 12 | Linear OA(2520, 650, F25, 8) (dual of [650, 630, 9]-code) | [i] | ||
| 13 | Linear OA(2516, 650, F25, 7) (dual of [650, 634, 8]-code) | [i] | ||
| 14 | Linear OA(2517, 653, F25, 7) (dual of [653, 636, 8]-code) | [i] | ||
| 15 | Linear OA(2514, 650, F25, 6) (dual of [650, 636, 7]-code) | [i] | ||
| 16 | Linear OA(2510, 650, F25, 5) (dual of [650, 640, 6]-code) | [i] | ||
| 17 | Linear OA(2511, 653, F25, 5) (dual of [653, 642, 6]-code) | [i] | ||
| 18 | Linear OA(258, 650, F25, 4) (dual of [650, 642, 5]-code) | [i] | ||
| 19 | Linear OA(2511, 679, F25, 5) (dual of [679, 668, 6]-code) | [i] | ||
| 20 | Linear OA(255, 29, F25, 4) (dual of [29, 24, 5]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 21 | Linear OA(2528, 15677, F25, 8) (dual of [15677, 15649, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 22 | Linear OA(2535, 390677, F25, 8) (dual of [390677, 390642, 9]-code) | [i] | ||
| 23 | Linear OA(2524, 15678, F25, 7) (dual of [15678, 15654, 8]-code) | [i] | ||
| 24 | Linear OA(2530, 390678, F25, 7) (dual of [390678, 390648, 8]-code) | [i] | ||
| 25 | Linear OA(2510, 653, F25, 5) (dual of [653, 643, 6]-code) | [i] | ||
| 26 | Linear OA(2520, 390678, F25, 5) (dual of [390678, 390658, 6]-code) | [i] | ||