Information on Result #658547
Linear OA(25612, 257, F256, 12) (dual of [257, 245, 13]-code or 257-arc in PG(11,256)), using algebraic-geometric code AG(F, Q+48P) with degQ = 4 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]
- 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(448, 1028, F4, 12) (dual of [1028, 980, 13]-code) | [i] | Trace Code | |
| 2 | Linear OA(1624, 514, F16, 12) (dual of [514, 490, 13]-code) | [i] | ||
| 3 | Linear OA(1623, 257, F16, 12) (dual of [257, 234, 13]-code) | [i] | Base Reduction for Projective Spaces | |
| 4 | OA(3220, 257, S32, 12) | [i] | Discarding Parts of the Base for OAs | |
| 5 | OA(6416, 257, S64, 12) | [i] | ||
| 6 | OA(12814, 257, S128, 12) | [i] | ||
| 7 | Linear OA(25637, 514, F256, 25) (dual of [514, 477, 26]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(25638, 517, F256, 25) (dual of [517, 479, 26]-code) | [i] | ||
| 9 | Linear OA(25661, 65794, F256, 25) (dual of [65794, 65733, 26]-code) | [i] | ||
| 10 | Linear OA(25636, 514, F256, 24) (dual of [514, 478, 25]-code) | [i] | ||
| 11 | Linear OA(25637, 517, F256, 24) (dual of [517, 480, 25]-code) | [i] | ||
| 12 | Linear OA(25659, 65793, F256, 24) (dual of [65793, 65734, 25]-code) | [i] | ||
| 13 | Linear OA(25618, 514, F256, 12) (dual of [514, 496, 13]-code) | [i] | ||
| 14 | Linear OA(25661, 65795, F256, 25) (dual of [65795, 65734, 26]-code) | [i] | ||
| 15 | Linear OA(25662, 65799, F256, 25) (dual of [65799, 65737, 26]-code) | [i] | ||
| 16 | Linear OA(25664, 65805, F256, 25) (dual of [65805, 65741, 26]-code) | [i] | ||
| 17 | Linear OA(25666, 65811, F256, 25) (dual of [65811, 65745, 26]-code) | [i] | ||
| 18 | Linear OA(25659, 65795, F256, 24) (dual of [65795, 65736, 25]-code) | [i] | ||
| 19 | Linear OA(25638, 546, F256, 25) (dual of [546, 508, 26]-code) | [i] | ||
| 20 | Linear OA(25637, 546, F256, 24) (dual of [546, 509, 25]-code) | [i] | ||
| 21 | Linear OA(25667, 66050, F256, 24) (dual of [66050, 65983, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |