Information on Result #657164
Linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using algebraic-geometric code AG(F, Q+1P) 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(2598, 651, F25, 41) (dual of [651, 553, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2596, 651, F25, 40) (dual of [651, 555, 41]-code) | [i] | ||
| 3 | Linear OA(2572, 78, F25, 64) (dual of [78, 6, 65]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(566, 78, F5, 41) (dual of [78, 12, 42]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(592, 104, F5, 62) (dual of [104, 12, 63]-code) | [i] | ||
| 6 | Linear OA(5118, 130, F5, 83) (dual of [130, 12, 84]-code) | [i] | ||
| 7 | Linear OA(5144, 156, F5, 104) (dual of [156, 12, 105]-code) | [i] | ||
| 8 | Linear OA(2523, 29, F25, 22) (dual of [29, 6, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 9 | Linear OA(2521, 29, F25, 20) (dual of [29, 8, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(2525, 31, F25, 23) (dual of [31, 6, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(2522, 31, F25, 20) (dual of [31, 9, 21]-code) | [i] | ✔ | |