Information on Result #658331
Linear OA(25614, 257, F256, 14) (dual of [257, 243, 15]-code or 257-arc in PG(13,256)), using algebraic-geometric code AG(F, Q+80P) with degQ = 2 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(1628, 514, F16, 14) (dual of [514, 486, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(1627, 257, F16, 14) (dual of [257, 230, 15]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(3223, 257, S32, 14) | [i] | Discarding Parts of the Base for OAs | |
| 4 | OA(6419, 257, S64, 14) | [i] | ||
| 5 | OA(12816, 257, S128, 14) | [i] | ||
| 6 | Linear OA(25643, 514, F256, 29) (dual of [514, 471, 30]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(25644, 517, F256, 29) (dual of [517, 473, 30]-code) | [i] | ||
| 8 | Linear OA(25642, 514, F256, 28) (dual of [514, 472, 29]-code) | [i] | ||
| 9 | Linear OA(25643, 517, F256, 28) (dual of [517, 474, 29]-code) | [i] | ||
| 10 | Linear OA(25621, 514, F256, 14) (dual of [514, 493, 15]-code) | [i] | ||
| 11 | Linear OA(25644, 546, F256, 29) (dual of [546, 502, 30]-code) | [i] | ||
| 12 | Linear OA(25643, 546, F256, 28) (dual of [546, 503, 29]-code) | [i] | ||