Information on Result #658327
Linear OA(25620, 257, F256, 20) (dual of [257, 237, 21]-code or 257-arc in PG(19,256)), using algebraic-geometric code AG(F, Q+78P) 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(1640, 514, F16, 20) (dual of [514, 474, 21]-code) | [i] | Trace Code | |
| 2 | OA(3232, 257, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6427, 257, S64, 20) | [i] | ||
| 4 | OA(12823, 257, S128, 20) | [i] | ||
| 5 | Linear OA(25661, 514, F256, 41) (dual of [514, 453, 42]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25662, 517, F256, 41) (dual of [517, 455, 42]-code) | [i] | ||
| 7 | Linear OA(25660, 514, F256, 40) (dual of [514, 454, 41]-code) | [i] | ||
| 8 | Linear OA(25661, 517, F256, 40) (dual of [517, 456, 41]-code) | [i] | ||
| 9 | Linear OA(25630, 514, F256, 20) (dual of [514, 484, 21]-code) | [i] | ||
| 10 | Linear OA(25662, 546, F256, 41) (dual of [546, 484, 42]-code) | [i] | ||
| 11 | Linear OA(25661, 546, F256, 40) (dual of [546, 485, 41]-code) | [i] | ||