Information on Result #658392
Linear OA(25636, 257, F256, 36) (dual of [257, 221, 37]-code or 257-arc in PG(35,256)), using algebraic-geometric code AG(F, Q+72P) with degQ = 4 and degPÂ =Â 3 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]
- 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(1672, 514, F16, 36) (dual of [514, 442, 37]-code) | [i] | Trace Code | |
2 | OA(3258, 257, S32, 36) | [i] | Discarding Parts of the Base for OAs | |
3 | OA(6448, 257, S64, 36) | [i] | ||
4 | OA(12842, 257, S128, 36) | [i] | ||
5 | Linear OA(25654, 514, F256, 36) (dual of [514, 460, 37]-code) | [i] | (u, u+v)-Construction |