Information on Result #658260
Linear OA(25613, 257, F256, 13) (dual of [257, 244, 14]-code or 257-arc in PG(12,256)), using algebraic-geometric code AG(F,81P) with 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]
- 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(1626, 514, F16, 13) (dual of [514, 488, 14]-code) | [i] | Trace Code | |
| 2 | OA(3221, 257, S32, 13) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6418, 257, S64, 13) | [i] | ||
| 4 | OA(12815, 257, S128, 13) | [i] | ||
| 5 | Linear OA(25640, 514, F256, 27) (dual of [514, 474, 28]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25641, 517, F256, 27) (dual of [517, 476, 28]-code) | [i] | ||
| 7 | Linear OA(25666, 65794, F256, 27) (dual of [65794, 65728, 28]-code) | [i] | ||
| 8 | Linear OA(25639, 514, F256, 26) (dual of [514, 475, 27]-code) | [i] | ||
| 9 | Linear OA(25640, 517, F256, 26) (dual of [517, 477, 27]-code) | [i] | ||
| 10 | Linear OA(25664, 65793, F256, 26) (dual of [65793, 65729, 27]-code) | [i] | ||
| 11 | Linear OA(25619, 514, F256, 13) (dual of [514, 495, 14]-code) | [i] | ||
| 12 | Linear OA(25666, 65795, F256, 27) (dual of [65795, 65729, 28]-code) | [i] | ||
| 13 | Linear OA(25667, 65799, F256, 27) (dual of [65799, 65732, 28]-code) | [i] | ||
| 14 | Linear OA(25664, 65795, F256, 26) (dual of [65795, 65731, 27]-code) | [i] | ||
| 15 | Linear OA(25641, 546, F256, 27) (dual of [546, 505, 28]-code) | [i] | ||
| 16 | Linear OA(25640, 546, F256, 26) (dual of [546, 506, 27]-code) | [i] | ||