Information on Result #658471
Linear OA(2566, 257, F256, 6) (dual of [257, 251, 7]-code or 257-arc in PG(5,256)), using algebraic-geometric code AG(F,50P) with 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(424, 1028, F4, 6) (dual of [1028, 1004, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(1612, 514, F16, 6) (dual of [514, 502, 7]-code) | [i] | ||
| 3 | Linear OA(1611, 257, F16, 6) (dual of [257, 246, 7]-code) | [i] | Base Reduction for Projective Spaces | |
| 4 | OA(3210, 257, S32, 6) | [i] | Discarding Parts of the Base for OAs | |
| 5 | OA(648, 257, S64, 6) | [i] | ||
| 6 | OA(1287, 257, S128, 6) | [i] | ||
| 7 | Linear OA(25619, 514, F256, 13) (dual of [514, 495, 14]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(25620, 517, F256, 13) (dual of [517, 497, 14]-code) | [i] | ||
| 9 | Linear OA(25631, 65794, F256, 13) (dual of [65794, 65763, 14]-code) | [i] | ||
| 10 | Linear OA(25618, 514, F256, 12) (dual of [514, 496, 13]-code) | [i] | ||
| 11 | Linear OA(25619, 517, F256, 12) (dual of [517, 498, 13]-code) | [i] | ||
| 12 | Linear OA(25629, 65793, F256, 12) (dual of [65793, 65764, 13]-code) | [i] | ||
| 13 | Linear OA(2569, 514, F256, 6) (dual of [514, 505, 7]-code) | [i] | ||
| 14 | Linear OA(25631, 65795, F256, 13) (dual of [65795, 65764, 14]-code) | [i] | ||
| 15 | Linear OA(25632, 65799, F256, 13) (dual of [65799, 65767, 14]-code) | [i] | ||
| 16 | Linear OA(25629, 65795, F256, 12) (dual of [65795, 65766, 13]-code) | [i] | ||
| 17 | Linear OA(25620, 546, F256, 13) (dual of [546, 526, 14]-code) | [i] | ||
| 18 | Linear OA(25619, 546, F256, 12) (dual of [546, 527, 13]-code) | [i] | ||
| 19 | Linear OA(25614, 65792, F256, 6) (dual of [65792, 65778, 7]-code) | [i] | Generalized (u, u+v)-Construction | |
| 20 | Linear OA(25655, 66050, F256, 20) (dual of [66050, 65995, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(25656, 66053, F256, 20) (dual of [66053, 65997, 21]-code) | [i] | ||
| 22 | Linear OA(25652, 66051, F256, 19) (dual of [66051, 65999, 20]-code) | [i] | ||
| 23 | Linear OA(25653, 66054, F256, 19) (dual of [66054, 66001, 20]-code) | [i] | ||
| 24 | Linear OA(25650, 66050, F256, 18) (dual of [66050, 66000, 19]-code) | [i] | ||
| 25 | Linear OA(25651, 66053, F256, 18) (dual of [66053, 66002, 19]-code) | [i] | ||
| 26 | Linear OA(25635, 66051, F256, 13) (dual of [66051, 66016, 14]-code) | [i] | ||
| 27 | Linear OA(25633, 66050, F256, 12) (dual of [66050, 66017, 13]-code) | [i] | ||