Information on Result #657166
Linear OA(2518, 26, F25, 18) (dual of [26, 8, 19]-code or 26-arc in PG(17,25)), using algebraic-geometric code AG(F, Q+2P) 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(2588, 651, F25, 37) (dual of [651, 563, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2586, 651, F25, 36) (dual of [651, 565, 37]-code) | [i] | ||
| 3 | Linear OA(562, 78, F5, 37) (dual of [78, 16, 38]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(588, 104, F5, 56) (dual of [104, 16, 57]-code) | [i] | ||
| 5 | Linear OA(5114, 130, F5, 75) (dual of [130, 16, 76]-code) | [i] | ||
| 6 | Linear OA(5140, 156, F5, 94) (dual of [156, 16, 95]-code) | [i] | ||
| 7 | Linear OA(2521, 29, F25, 20) (dual of [29, 8, 21]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 8 | Linear OA(2519, 29, F25, 18) (dual of [29, 10, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(2523, 31, F25, 21) (dual of [31, 8, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(2520, 31, F25, 18) (dual of [31, 11, 19]-code) | [i] | ✔ | |