Information on Result #658495
Linear OA(2569, 257, F256, 9) (dual of [257, 248, 10]-code or 257-arc in PG(8,256)), using algebraic-geometric code AG(F, Q+49P) with degQ = 2 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]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [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(1618, 514, F16, 9) (dual of [514, 496, 10]-code) | [i] | Trace Code | |
| 2 | OA(3215, 257, S32, 9) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6412, 257, S64, 9) | [i] | ||
| 4 | OA(12811, 257, S128, 9) | [i] | ||
| 5 | Linear OA(25628, 514, F256, 19) (dual of [514, 486, 20]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25629, 517, F256, 19) (dual of [517, 488, 20]-code) | [i] | ||
| 7 | Linear OA(25646, 65794, F256, 19) (dual of [65794, 65748, 20]-code) | [i] | ||
| 8 | Linear OA(25627, 514, F256, 18) (dual of [514, 487, 19]-code) | [i] | ||
| 9 | Linear OA(25628, 517, F256, 18) (dual of [517, 489, 19]-code) | [i] | ||
| 10 | Linear OA(25644, 65793, F256, 18) (dual of [65793, 65749, 19]-code) | [i] | ||
| 11 | Linear OA(25613, 514, F256, 9) (dual of [514, 501, 10]-code) | [i] | ||
| 12 | Linear OA(25646, 65795, F256, 19) (dual of [65795, 65749, 20]-code) | [i] | ||
| 13 | Linear OA(25647, 65799, F256, 19) (dual of [65799, 65752, 20]-code) | [i] | ||
| 14 | Linear OA(25649, 65805, F256, 19) (dual of [65805, 65756, 20]-code) | [i] | ||
| 15 | Linear OA(25644, 65795, F256, 18) (dual of [65795, 65751, 19]-code) | [i] | ||
| 16 | Linear OA(25629, 546, F256, 19) (dual of [546, 517, 20]-code) | [i] | ||
| 17 | Linear OA(25628, 546, F256, 18) (dual of [546, 518, 19]-code) | [i] | ||
| 18 | Linear OA(25623, 65792, F256, 9) (dual of [65792, 65769, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 19 | Linear OA(25652, 66051, F256, 19) (dual of [66051, 65999, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(25650, 66050, F256, 18) (dual of [66050, 66000, 19]-code) | [i] | ||