Information on Result #658557
Linear OA(25645, 257, F256, 45) (dual of [257, 212, 46]-code or 257-arc in PG(44,256)), using algebraic-geometric code AG(F, Q+41P) with degQ = 6 and degPÂ =Â 5 based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(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]
- 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(1690, 514, F16, 45) (dual of [514, 424, 46]-code) | [i] | Trace Code | |
| 2 | OA(3272, 257, S32, 45) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6460, 257, S64, 45) | [i] | ||
| 4 | OA(12852, 257, S128, 45) | [i] | ||
| 5 | Linear OA(25667, 514, F256, 45) (dual of [514, 447, 46]-code) | [i] | (u, u+v)-Construction | |