Information on Result #657143
Linear OA(2521, 26, F25, 21) (dual of [26, 5, 22]-code or 26-arc in PG(20,25)), using algebraic-geometric code AG(F,2P) 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(25103, 651, F25, 43) (dual of [651, 548, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25101, 651, F25, 42) (dual of [651, 550, 43]-code) | [i] | ||
| 3 | Linear OA(2573, 78, F25, 66) (dual of [78, 5, 67]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(2587, 92, F25, 79) (dual of [92, 5, 80]-code) | [i] | ||
| 5 | Linear OA(2577, 82, F25, 70) (dual of [82, 5, 71]-code) | [i] | ||
| 6 | Linear OA(568, 78, F5, 43) (dual of [78, 10, 44]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(594, 104, F5, 65) (dual of [104, 10, 66]-code) | [i] | ||
| 8 | Linear OA(5120, 130, F5, 87) (dual of [130, 10, 88]-code) | [i] | ||
| 9 | Linear OA(5146, 156, F5, 109) (dual of [156, 10, 110]-code) | [i] | ||
| 10 | Linear OA(2524, 29, F25, 23) (dual of [29, 5, 24]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 11 | Linear OA(2522, 29, F25, 21) (dual of [29, 7, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(2523, 31, F25, 21) (dual of [31, 8, 22]-code) | [i] | ✔ | |