Information on Result #657149
Linear OA(2515, 26, F25, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,25)), using algebraic-geometric code AG(F,5P) with 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
- Extended Reed–Solomon Code [i]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2573, 651, F25, 31) (dual of [651, 578, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25103, 15651, F25, 31) (dual of [15651, 15548, 32]-code) | [i] | ||
| 3 | Linear OA(2571, 651, F25, 30) (dual of [651, 580, 31]-code) | [i] | ||
| 4 | Linear OA(25100, 15651, F25, 30) (dual of [15651, 15551, 31]-code) | [i] | ||
| 5 | Linear OA(556, 78, F5, 31) (dual of [78, 22, 32]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(582, 104, F5, 47) (dual of [104, 22, 48]-code) | [i] | ||
| 7 | Linear OA(5134, 156, F5, 79) (dual of [156, 22, 80]-code) | [i] | ||
| 8 | Linear OA(2518, 29, F25, 17) (dual of [29, 11, 18]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 9 | Linear OA(2516, 29, F25, 15) (dual of [29, 13, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(2520, 31, F25, 18) (dual of [31, 11, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(2517, 31, F25, 15) (dual of [31, 14, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(2583, 677, F25, 31) (dual of [677, 594, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(2581, 677, F25, 30) (dual of [677, 596, 31]-code) | [i] | ||
| 14 | Linear OA(25110, 15677, F25, 30) (dual of [15677, 15567, 31]-code) | [i] | ||