Information on Result #657221
Linear OA(253, 26, F25, 3) (dual of [26, 23, 4]-code or 26-arc in PG(2,25) or 26-cap in PG(2,25)), using algebraic-geometric code AG(F, Q+6P) with degQ = 4 and degPÂ =Â 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2516, 652, F25, 7) (dual of [652, 636, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2522, 15652, F25, 7) (dual of [15652, 15630, 8]-code) | [i] | ||
| 3 | Linear OA(2528, 390652, F25, 7) (dual of [390652, 390624, 8]-code) | [i] | ||
| 4 | Linear OA(2514, 651, F25, 6) (dual of [651, 637, 7]-code) | [i] | ||
| 5 | Linear OA(2519, 15651, F25, 6) (dual of [15651, 15632, 7]-code) | [i] | ||
| 6 | Linear OA(2524, 390651, F25, 6) (dual of [390651, 390627, 7]-code) | [i] | ||
| 7 | Linear OA(2516, 654, F25, 7) (dual of [654, 638, 8]-code) | [i] | ||
| 8 | Linear OA(2522, 15654, F25, 7) (dual of [15654, 15632, 8]-code) | [i] | ||
| 9 | Linear OA(2528, 390655, F25, 7) (dual of [390655, 390627, 8]-code) | [i] | ||
| 10 | Linear OA(2514, 654, F25, 6) (dual of [654, 640, 7]-code) | [i] | ||
| 11 | Linear OA(2519, 15654, F25, 6) (dual of [15654, 15635, 7]-code) | [i] | ||
| 12 | Linear OA(2524, 390655, F25, 6) (dual of [390655, 390631, 7]-code) | [i] | ||
| 13 | Linear OA(2529, 650, F25, 11) (dual of [650, 621, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(2523, 650, F25, 9) (dual of [650, 627, 10]-code) | [i] | ||
| 15 | Linear OA(2516, 650, F25, 7) (dual of [650, 634, 8]-code) | [i] | ||
| 16 | Linear OA(2517, 653, F25, 7) (dual of [653, 636, 8]-code) | [i] | ||
| 17 | Linear OA(2514, 650, F25, 6) (dual of [650, 636, 7]-code) | [i] | ||
| 18 | Linear OA(258, 31, F25, 6) (dual of [31, 23, 7]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 19 | Linear OA(2529, 678, F25, 11) (dual of [678, 649, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(2539, 15678, F25, 11) (dual of [15678, 15639, 12]-code) | [i] | ||
| 21 | Linear OA(2540, 15681, F25, 11) (dual of [15681, 15641, 12]-code) | [i] | ||
| 22 | Linear OA(2549, 390678, F25, 11) (dual of [390678, 390629, 12]-code) | [i] | ||
| 23 | Linear OA(2550, 390681, F25, 11) (dual of [390681, 390631, 12]-code) | [i] | ||
| 24 | Linear OA(2536, 15677, F25, 10) (dual of [15677, 15641, 11]-code) | [i] | ||
| 25 | Linear OA(2545, 390677, F25, 10) (dual of [390677, 390632, 11]-code) | [i] | ||
| 26 | Linear OA(2532, 15678, F25, 9) (dual of [15678, 15646, 10]-code) | [i] | ||
| 27 | Linear OA(2540, 390678, F25, 9) (dual of [390678, 390638, 10]-code) | [i] | ||
| 28 | Linear OA(2524, 15678, F25, 7) (dual of [15678, 15654, 8]-code) | [i] | ||
| 29 | Linear OA(2530, 390678, F25, 7) (dual of [390678, 390648, 8]-code) | [i] | ||